System and method for a multi-primary wide gamut color system

Abstract

Systems and methods for a multi-primary color system for display. A multi-primary color system increases the number of primary colors available in a color system and color system equipment. Increasing the number of primary colors reduces metameric errors from viewer to viewer. One embodiment of the multi-primary color system includes Red, Green, Blue, Cyan, Yellow, and Magenta primaries. The systems of the present invention maintain compatibility with existing color systems and equipment and provide systems for backwards compatibility with older color systems.

Description

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to color systems, and more specifically to a wide gamut color system with an increased number of primary colors.

2. Description of the Prior Art

It is generally known in the prior art to provide for an increased color gamut system within a display.

Prior art patent documents include the following:

U.S. Pat. No. 10,222,263 for RGB value calculation device by inventor Yasuyuki Shigezane, filed Feb. 6, 2017 and issued Mar. 5, 2019, is directed to a microcomputer that equally divides the circumference of an RGB circle into 6xn (n is an integer of 1 or more) parts, and calculates an RGB value of each divided color. (255, 0, 0) is stored as a reference RGB value of a reference color in a ROM in the microcomputer. The microcomputer converts the reference RGB value depending on an angular difference of the RGB circle between a designated color whose RGB value is to be found and the reference color, and assumes the converted RGB value as an RGB value of the designated color.

U.S. Pat. No. 9,373,305 for Semiconductor device, image processing system and program by inventor Hiorfumi Kawaguchi, filed May 29, 2015 and issued Jun. 21, 2016, is directed to an image process device including a display panel operable to provide an input interface for receiving an input of an adjustment value of at least a part of color attributes of each vertex of n axes (n is an integer equal to or greater than 3) serving as adjustment axes in an RGB color space, and an adjustment data generation unit operable to calculate the degree of influence indicative of a following index of each of the n-axis vertices, for each of the n axes, on a basis of distance between each of the n-axis vertices and a target point which is an arbitrary lattice point in the RGB color space, and operable to calculate adjusted coordinates of the target point in the RGB color space.

U.S. Publication No. 20130278993 for Color-mixing bi-primary color systems for displays by inventor Heikenfeld, et. al, filed Sep. 1, 2011 and published Oct. 24, 2013, is directed to a display pixel. The pixel includes first and second substrates arranged to define a channel. A fluid is located within the channel and includes a first colorant and a second colorant. The first colorant has a first charge and a color. The second colorant has a second charge that is opposite in polarity to the first charge and a color that is complimentary to the color of the first colorant. A first electrode, with a voltage source, is operably coupled to the fluid and configured to moving one or both of the first and second colorants within the fluid and alter at least one spectral property of the pixel.

U.S. Pat. No. 8,599,226 for Device and method of data conversion for wide gamut displays by inventor Ben-Chorin, et. al, filed Feb. 13, 2012 and issued Dec. 3, 2013, is directed to a method and system for converting color image data from a, for example, three-dimensional color space format to a format usable by an n-primary display, wherein n is greater than or equal to 3. The system may define a two-dimensional sub-space having a plurality of two-dimensional positions, each position representing a set of n primary color values and a third, scaleable coordinate value for generating an n-primary display input signal. Furthermore, the system may receive a three-dimensional color space input signal including out-of range pixel data not reproducible by a three-primary additive display, and may convert the data to side gamut color image pixel data suitable for driving the wide gamut color display.

U.S. Pat. No. 8,081,835 for Multiprimary color sub-pixel rendering with metameric filtering by inventor Elliot, et. al, filed Jul. 13, 2010 and issued Dec. 20, 2011, is directed to systems and methods of rendering image data to multiprimary displays that adjusts image data across metamers as herein disclosed. The metamer filtering may be based upon input image content and may optimize sub-pixel values to improve image rendering accuracy or perception. The optimizations may be made according to many possible desired effects. One embodiment comprises a display system comprising: a display, said display capable of selecting from a set of image data values, said set comprising at least one metamer; an input image data unit; a spatial frequency detection unit, said spatial frequency detection unit extracting a spatial frequency characteristic from said input image data; and a selection unit, said unit selecting image data from said metamer according to said spatial frequency characteristic.

U.S. Pat. No. 7,916,939 for High brightness wide gamut display by inventor Roth, et. al, filed Nov. 30, 2009 and issued Mar. 29, 2011, is directed to a device to produce a color image, the device including a color filtering arrangement to produce at least four colors, each color produced by a filter on a color filtering mechanism having a relative segment size, wherein the relative segment sizes of at least two of the primary colors differ.

U.S. Pat. No. 6,769,772 for Six color display apparatus having increased color gamut by inventor Roddy, et. al, filed Oct. 11, 2002 and issued Aug. 3, 2004, is directed to a display system for digital color images using six color light sources or two or more multicolor LED arrays or OLEDs to provide an expanded color gamut. Apparatus uses two or more spatial light modulators, which may be cycled between two or more color light sources or LED arrays to provide a six-color display output. Pairing of modulated colors using relative luminance helps to minimize flicker effects.

SUMMARY OF THE INVENTION

It is an object of this invention to provide an enhancement to the current RGB systems or a replacement for them.

In one embodiment, the present invention is a system for displaying a six primary color system, including a set of image data, wherein the set of image data is comprised of a first set of color channel data and a second set of color channel data, wherein the set of image data further includes a bit level, an image data converter, wherein the image data converter includes a digital interface, wherein the digital interface is operable to encode and decode the set of image data, at least one transfer function (TF) for processing the set of image data, a set of Session Description Protocol (SDP) parameters, wherein the set of SDP parameters is modifiable, at least one display device, wherein the at least one display device and the image data converter are in network communication, wherein the image data converter is operable to convert the bit level of the set of image data, thereby creating an updated bit level, wherein the image data converter is operable to convert the set of image data for display on the at least one display device, wherein once the set of image data has been converted by the image data converter for the at least one display device the set of SDP parameters are modified based on the conversion, and wherein the at least one display device is operable to display a six-primary color system based on the set of image data, such that the SDP parameters indicate that the set of image data being displayed on the at least one display device is using a six-primary color system.

In another embodiment, the present invention is a system for displaying a six-primary color system, including a set of image data, wherein the set of image data includes a first set of color channel data and a second set of color channel data, wherein the set of image data includes a bit level, a magenta primary value, wherein the magenta primary value is derived from the set of image data, an image data converter, wherein the image data converter includes a digital interface, wherein the digital interface is operable to encode and decode the set of image data, at least one transfer function (TF) for processing the set of image data, a set of Session Description Protocol (SDP) parameters, wherein the set of SDP parameters are modifiable, at least one display device, wherein the at least one display device and the image data converter are in network communication, wherein the image data converter is operable to convert the bit level for the set of image data to a new bit level, wherein the at least one data converter is operable to convert the set of image data for display on the at least one display device, wherein once the set of image data has been converted for the at least one display device the set of SDP parameters are modified based on the conversion, and wherein the at least one display device is operable to display a six-primary color system based on the set of image data, such that the SDP parameters indicate the magenta primary value and that the set of image data being displayed on the at least one display device is using a six-primary color system.

In yet another embodiment, the present invention is a system for displaying a set of image data using a six-primary color system, including a set of image data, wherein the set of image data includes a bit level, a magenta primary value, wherein the magenta primary value is derived from the set of image data, an image data converter, wherein the image data converter includes a digital interface, wherein the digital interface is operable to encode and decode the set of image data, at least one transfer function (TF) for processing the set of image data, a set of Session Description Protocol (SDP) parameters, wherein the set of SDP parameters are modifiable, at least one electronic luminance component, wherein the electronic luminance component is derived from the set of image data, at least one display device, wherein the at least one display device and the image data converter are in network communication, wherein the image data converter is operable to convert the set of image data to a new bit level, wherein the image data converter is operable to convert the set of image data for display on the at least one display device, wherein once the set of image data has been converted for the at least one display device the set of SDP parameters are modified based on the conversion, and wherein the at least one display device is operable to display a six-primary color system based on the set of image data, such that the SDP parameters indicate the magenta primary value, the at least one electronic luminance component, and that the set of image data being displayed on the at least one display device is using a six-primary color system.

These and other aspects of the present invention will become apparent to those skilled in the art after a reading of the following description of the preferred embodiment when considered with the drawings, as they support the claimed invention.

BRIEF DESCRIPTION OF THE DRAWINGS

The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee.

FIG. 1 illustrates one embodiment of a six primary system including a red primary, a green primary, a blue primary, a cyan primary, a magenta primary, and a yellow primary (“6P-B”) compared to ITU-R BT.709-6.

FIG. 2 illustrates another embodiment of a six primary system including a red primary, a green primary, a blue primary, a cyan primary, a magenta primary, and a yellow primary (“6P-C”) compared to SMPTE RP431-2 for a D60 white point.

FIG. 3 illustrates yet another embodiment of a six primary system including a red primary, a green primary, a blue primary, a cyan primary, a magenta primary, and a yellow primary (“6P-C”) compared to SMPTE RP431-2 for a D65 white point.

FIG. 4 illustrates Super 6 Pa compared to 6P-C.

FIG. 5 illustrates Super 6Pb compared to Super 6 Pa and 6P-C.

FIG. 6 illustrates an embodiment of an encode and decode system for a multi-primary color system.

FIG. 7 illustrates a sequential method where three color primaries are passed to the transport format as full bit level image data and inserted as normal (“System 2”).

FIG. 8A illustrates one embodiment of a quadrature method (“System 2A”).

FIG. 8B illustrates another embodiment of a quadrature method (“System 2A”).

FIG. 8C illustrates yet another embodiment of a quadrature method (“System 2A”).

FIG. 9A illustrates an embodiment of a stereo quadrature method (“System 2A”).

FIG. 9B illustrates another embodiment of a stereo quadrature method (“System 2A”).

FIG. 9C illustrates yet another embodiment of a stereo quadrature method (“System 2A”).

FIG. 10 illustrates one embodiment of a system encode and decode process using a dual link method (“System 3”).

FIG. 11 illustrates one embodiment of an encoding process using a dual link method.

FIG. 12 illustrates one embodiment of a decoding process using a dual link method.

FIG. 13 illustrates one embodiment of an xyY encode with an OETF.

FIG. 14 illustrates one embodiment of an xyY encode without an OETF.

FIG. 15 illustrates one embodiment of an xyY decode with an electro-optical transfer function (EOTF).

FIG. 16 illustrates one embodiment of an xyY decode without an EOTF.

FIG. 17 illustrates one embodiment of a 4:2:2 xyY encode with an OETF.

FIG. 18 illustrates one embodiment of a 4:2:2 xyY encode without an OETF.

FIG. 19 illustrates one embodiment of a 4:4:4 xyY encode with an OETF.

FIG. 20 illustrates one embodiment of a 4:4:4 xyY encode without an OETF.

FIG. 21 illustrates sample placements of xyY system components for a 4:2:2 pixel mapping.

FIG. 22 illustrates sample placements of xyY system components for a 4:2:0 pixel mapping.

FIG. 23 illustrates one embodiment of a SMPTE ST292 xyY system mapping.

FIG. 24 illustrates one embodiment of a SMPTE ST2082 xyY system mapping.

FIG. 25 illustrates one embodiment of xyY inserted into a CTA 861 stream.

FIG. 26 illustrates one embodiment of an xyY decode with an EOTF.

FIG. 27 illustrates one embodiment of an xyY decode without an EOTF.

FIG. 28A illustrates one embodiment of an IPT 4:4:4 encode.

FIG. 28B illustrates one embodiment of an IPT 4:4:4 decode.

FIG. 29A illustrates one embodiment of an ICTCP 4:2:2 encode.

FIG. 29B illustrates one embodiment of an ICTCP 4:2:2 decode.

FIG. 30 illustrates one embodiment of a six-primary color system encode using a 4:4:4 sampling method.

FIG. 31 illustrates one embodiment for a method to package six channels of primary information into the three standard primary channels used in current serial video standards by modifying bit numbers for a 12-bit SDI and a 10-bit SDI.

FIG. 32 illustrates a simplified diagram estimating perceived viewer sensation as code values define each hue angle.

FIG. 33 illustrates one embodiment for a method of stacking/encoding six-primary color information using a 4:4:4 video system.

FIG. 34 illustrates one embodiment for a method of unstacking/decoding six-primary color information using a 4:4:4 video system.

FIG. 35 illustrates one embodiment of a 4:4:4 decoder for a six-primary color system.

FIG. 36 illustrates one embodiment of an optical filter.

FIG. 37 illustrates another embodiment of an optical filter.

FIG. 38 illustrates an embodiment of the present invention for sending six primary colors to a standardized transport format.

FIG. 39 illustrates one embodiment of a decode process adding a pixel delay to the RGB data for realigning the channels to a common pixel timing.

FIG. 40 illustrates one embodiment of an encode process for 4:2:2 video for packaging five channels of information into the standard three-channel designs.

FIG. 41 illustrates one embodiment for a non-constant luminance encode for a six-primary color system.

FIG. 42 illustrates one embodiment of a packaging process for a six-primary color system.

FIG. 43 illustrates a 4:2:2 unstack process for a six-primary color system.

FIG. 44 illustrates one embodiment of a process to inversely quantize each individual color and pass the data through an electronic optical function transfer (EOTF) in a non-constant luminance system.

FIG. 45 illustrates one embodiment of a constant luminance encode for a six-primary color system.

FIG. 46 illustrates one embodiment of a constant luminance decode for a six-primary color system.

FIG. 47 illustrates one example of 4:2:2 non-constant luminance encoding.

FIG. 48 illustrates one embodiment of a non-constant luminance decoding system.

FIG. 49 illustrates one embodiment of a 4:2:2 constant luminance encoding system.

FIG. 50 illustrates one embodiment of a 4:2:2 constant luminance decoding system.

FIG. 51 illustrates a raster encoding diagram of sample placements for a six-primary color system.

FIG. 52 illustrates one embodiment of the six-primary color unstack process in a 4:2:2 video system.

FIG. 53 illustrates one embodiment of mapping input to the six-primary color system unstack process.

FIG. 54 illustrates one embodiment of mapping the output of a six-primary color system decoder.

FIG. 55 illustrates one embodiment of mapping the RGB decode for a six-primary color system.

FIG. 56 illustrates one embodiment of an unstack system for a six-primary color system.

FIG. 57 illustrates one embodiment of a legacy RGB decoder for a six-primary, non-constant luminance system.

FIG. 58 illustrates one embodiment of a legacy RGB decoder for a six-primary, constant luminance system.

FIG. 59 illustrates one embodiment of a six-primary color system with output to a legacy RGB system.

FIG. 60 illustrates one embodiment of six-primary color output using a non-constant luminance decoder.

FIG. 61 illustrates one embodiment of a legacy RGB process within a six-primary color system.

FIG. 62 illustrates one embodiment of packing six-primary color system image data into an IC_TC_P (ITP) format.

FIG. 63 illustrates one embodiment of a six-primary color system converting RGBCYM image data into XYZ image data for an ITP format.

FIG. 64 illustrates one embodiment of six-primary color mapping with SMPTE ST424.

FIG. 65 illustrates one embodiment of a six-primary color system readout for a SMPTE ST424 standard.

FIG. 66 illustrates a process of 2160p transport over 12G-SDI.

FIG. 67 illustrates one embodiment for mapping RGBCYM data to the SMPTE ST2082 standard for a six-primary color system.

FIG. 68 illustrates one embodiment for mapping Y_RGB Y_CYM C_R C_B C_C C_Y data to the SMPTE ST2082 standard for a six-primary color system.

FIG. 69 illustrates one embodiment for mapping six-primary color system data using the SMPTE ST292 standard.

FIG. 70 illustrates one embodiment of the readout for a six-primary color system using the SMPTE ST292 standard.

FIG. 71 illustrates modifications to the SMPTE ST352 standards for a six-primary color system.

FIG. 72 illustrates modifications to the SMPTE ST2022 standard for a six-primary color system.

FIG. 73 illustrates a table of 4:4:4 sampling for a six-primary color system for a 10-bit video system.

FIG. 74 illustrates a table of 4:4:4 sampling for a six-primary color system for a 12-bit video system.

FIG. 75 illustrates sequence substitutions for 10-bit and 12-bit video in 4:2:2 sampling systems in a Y Cb Cr Cc Cy color space.

FIG. 76 illustrates sample placements of six-primary system components for a 4:2:2 sampling system image.

FIG. 77 illustrates sequence substitutions for 10-bit and 12-bit video in 4:2:0 sampling systems using a Y Cb Cr Cc Cy color space.

FIG. 78 illustrates sample placements of six-primary system components for a 4:2:0 sampling system image.

FIG. 79 illustrates modifications to SMPTE ST2110-20 for a 10-bit six-primary color system in 4:4:4 video.

FIG. 80 illustrates modifications to SMPTE ST2110-20 for a 12-bit six-primary color system in 4:4:4 video.

FIG. 81 illustrates modifications to SMPTE ST2110-20 for a 10-bit six primary color system in 4:2:2 video.

FIG. 82 illustrates modifications to SMPTE ST2110-20 for a 12-bit six-primary color system in 4:2:0 video.

FIG. 83 illustrates an RGB sampling transmission for a 4:4:4 sampling system.

FIG. 84 illustrates a RGBCYM sampling transmission for a 4:4:4 sampling system.

FIG. 85 illustrates an example of System 2 to RGBCYM 4:4:4 transmission.

FIG. 86 illustrates a Y Cb Cr sampling transmission using a 4:2:2 sampling system.

FIG. 87 illustrates a Y Cr Cb Cc Cy sampling transmission using a 4:2:2 sampling system.

FIG. 88 illustrates an example of a System 2 to Y Cr Cb Cc Cy 4:2:2 Transmission as non-constant luminance.

FIG. 89 illustrates a Y Cb Cr sampling transmission using a 4:2:0 sampling system.

FIG. 90 illustrates a Y Cr Cb Cc Cy sampling transmission using a 4:2:0 sampling system.

FIG. 91 illustrates a dual stack LCD projection system for a six-primary color system.

FIG. 92 illustrates one embodiment of a single projector.

FIG. 93 illustrates a six-primary color system using a single projector and reciprocal mirrors.

FIG. 94 illustrates a dual stack DMD projection system for a six-primary color system.

FIG. 95 illustrates one embodiment of a single DMD projector solution.

FIG. 96 illustrates one embodiment of a color filter array for a six-primary color system with a white OLED monitor.

FIG. 97 illustrates one embodiment of an optical filter array for a six-primary color system with a white OLED monitor.

FIG. 98 illustrates one embodiment of a matrix of an LCD drive for a six-primary color system with a backlight illuminated LCD monitor.

FIG. 99 illustrates one embodiment of an optical filter array for a six-primary color system with a backlight illuminated LCD monitor.

FIG. 100 illustrates an array for a Quantum Dot (QD) display device.

FIG. 101 illustrates one embodiment of an array for a six-primary color system for use with a direct emissive assembled display.

FIG. 102 illustrates one embodiment of a six-primary color system in an emissive display that does not incorporate color filtered subpixels.

FIG. 103 illustrates one embodiment of a ½ gamma function.

FIG. 104 illustrates a graph of maximum quantizing error using the ½ gamma function.

FIG. 105A illustrates one embodiment of an encoder.

FIG. 105B illustrates another embodiment of an encoder.

FIG. 106A illustrates one embodiment of a decoder.

FIG. 106B illustrates another embodiment of a decoder.

FIG. 107 is a schematic diagram of an embodiment of the invention illustrating a computer system.

DETAILED DESCRIPTION

The present invention is generally directed to a multi-primary color system.

In one embodiment, the present invention is a system for displaying a six primary color system, including a set of image data, wherein the set of image data is comprised of a first set of color channel data and a second set of color channel data, wherein the set of image data further includes a bit level, an image data converter, wherein the image data converter includes a digital interface, wherein the digital interface is operable to encode and decode the set of image data, at least one transfer function (TF) for processing the set of image data, a set of Session Description Protocol (SDP) parameters, wherein the set of SDP parameters is modifiable, at least one display device, wherein the at least one display device and the image data converter are in network communication, wherein the image data converter is operable to convert the bit level of the set of image data, thereby creating an updated bit level, wherein the image data converter is operable to convert the set of image data for display on the at least one display device, wherein once the set of image data has been converted by the image data converter for the at least one display device the set of SDP parameters are modified based on the conversion, and wherein the at least one display device is operable to display a six-primary color system based on the set of image data, such that the SDP parameters indicate that the set of image data being displayed on the at least one display device is using a six-primary color system.

In another embodiment, the present invention is a system for displaying a six-primary color system, including a set of image data, wherein the set of image data includes a first set of color channel data and a second set of color channel data, wherein the set of image data includes a bit level, a magenta primary value, wherein the magenta primary value is derived from the set of image data, an image data converter, wherein the image data converter includes a digital interface, wherein the digital interface is operable to encode and decode the set of image data, at least one transfer function (TF) for processing the set of image data, a set of Session Description Protocol (SDP) parameters, wherein the set of SDP parameters are modifiable, at least one display device, wherein the at least one display device and the image data converter are in network communication, wherein the image data converter is operable to convert the bit level for the set of image data to a new bit level, wherein the at least one data converter is operable to convert the set of image data for display on the at least one display device, wherein once the set of image data has been converted for the at least one display device the set of SDP parameters are modified based on the conversion, and wherein the at least one display device is operable to display a six-primary color system based on the set of image data, such that the SDP parameters indicate the magenta primary value and that the set of image data being displayed on the at least one display device is using a six-primary color system.

In yet another embodiment, the present invention is a system for displaying a set of image data using a six-primary color system, including a set of image data, wherein the set of image data includes a bit level, a magenta primary value, wherein the magenta primary value is derived from the set of image data, an image data converter, wherein the image data converter includes a digital interface, wherein the digital interface is operable to encode and decode the set of image data, at least one transfer function (TF) for processing the set of image data, a set of Session Description Protocol (SDP) parameters, wherein the set of SDP parameters are modifiable, at least one electronic luminance component, wherein the electronic luminance component is derived from the set of image data, at least one display device, wherein the at least one display device and the image data converter are in network communication, wherein the image data converter is operable to convert the set of image data to a new bit level, wherein the image data converter is operable to convert the set of image data for display on the at least one display device, wherein once the set of image data has been converted for the at least one display device the set of SDP parameters are modified based on the conversion, and wherein the at least one display device is operable to display a six-primary color system based on the set of image data, such that the SDP parameters indicate the magenta primary value, the at least one electronic luminance component, and that the set of image data being displayed on the at least one display device is using a six-primary color system.

The present invention relates to color systems. A multitude of color systems are known, but they continue to suffer numerous issues. As imaging technology is moving forward, there has been a significant interest in expanding the range of colors that are replicated on electronic displays. Enhancements to the television system have expanded from the early COR 601 standard to ITU-R BT.709-6, to SMPTE RP431-2, and ITU-R BT.2020. Each one has increased the gamut of visible colors by expanding the distance from the reference white point to the position of the Red (R), Green (G), and Blue (B) color primaries (collectively known as “RGB”) in chromaticity space. While this approach works, it has several disadvantages. When implemented in content presentation, issues arise due to the technical methods used to expand the gamut of colors seen (typically using a more-narrow emissive spectrum) can result in increased viewer metameric errors and require increased power due to lower illumination source. These issues increase both capital and operational costs.

With the current available technologies, displays are limited in respect to their range of color and light output. There are many misconceptions regarding how viewers interpret the display output technically versus real-world sensations viewed with the human eye. The reason we see more than just the three emitting primary colors is because the eye combines the spectral wavelengths incident on it into the three bands. Humans interpret the radiant energy (spectrum and amplitude) from a display and process it so that an individual color is perceived. The display does not emit a color or a specific wavelength that directly relates to the sensation of color. It simply radiates energy at the same spectrum which humans sense as light and color. It is the observer who interprets this energy as color.

When the CIE 2° standard observer was established in 1931, common understanding of color sensation was that the eye used red, blue, and green cone receptors (James Maxwell & James Forbes 1855). Later with the Munsell vision model (Munsell 1915), Munsell described the vision system to include three separate components: luminance, hue, and saturation. Using RGB emitters or filters, these three primary colors are the components used to produce images on today's modern electronic displays.

There are three primary physical variables that affect sensation of color. These are the spectral distribution of radiant energy as it is absorbed into the retina, the sensitivity of the eye in relation to the intensity of light landing on the retinal pigment epithelium, and the distribution of cones within the retina. The distribution of cones (e.g., L cones, M cones, and S cones) varies considerably from person to person.

Enhancements in brightness have been accomplished through larger backlights or higher efficiency phosphors. Encoding of higher dynamic ranges is addressed using higher range, more perceptually uniform electro-optical transfer functions to support these enhancements to brightness technology, while wider color gamuts are produced by using narrow bandwidth emissions. Narrower bandwidth emitters result in the viewer experiencing higher color saturation. But there can be a disconnect between how saturation is produced and how it is controlled. What is believed to occur when changing saturation is that increasing color values of a color primary represents an increase to saturation. This is not true, as changing saturation requires the variance of a color primary spectral output as parametric. There are no variable spectrum displays available to date as the technology to do so has not been commercially developed, nor has the new infrastructure required to support this been discussed.

Instead, the method that a display changes for viewer color sensation is by changing color luminance. As data values increase, the color primary gets brighter. Changes to color saturation are accomplished by varying the brightness of all three primaries and taking advantage of the dominant color theory.

Expanding color primaries beyond RGB has been discussed before. There have been numerous designs of multi-primary displays. For example, SHARP has attempted this with their four-color QUATTRON TV systems by adding a yellow color primary and developing an algorithm to drive it. Another four primary color display was proposed by Matthew Brennesholtz which included an additional cyan primary, and a six primary display was described by Yan Xiong, Fei Deng, Shan Xu, and Sufang Gao of the School of Physics and Optoelectric Engineering at the Yangtze University Jingzhou China. In addition, AU OPTRONICS has developed a five primary display technology. SONY has also recently disclosed a camera design featuring RGBCMY (red, green, blue, cyan, magenta, and yellow) and RGBCMYW (red, green, blue cyan, magenta, yellow, and white) sensors.

Actual working displays have been shown publicly as far back as the late 1990's, including samples from Tokyo Polytechnic University, Nagoya City University, and Genoa Technologies. However, all of these systems are exclusive to their displays, and any additional color primary information is limited to the display's internal processing.

Additionally, the Visual Arts System for Archiving and Retrieval of Images (VASARI) project developed a colorimetric scanner system for direct digital imaging of paintings. The system provides more accurate coloring than conventional film, allowing it to replace film photography. Despite the project beginning in 1989, technical developments have continued. Additional information is available at https://www.southampton.ac.uk/˜km2/projs/vasari/ (last accessed Mar. 30, 2020), which is incorporated herein by reference in its entirety.

None of the prior art discloses developing additional color primary information outside of the display. Moreover, the system driving the display is often proprietary to the demonstration. In each of these executions, nothing in the workflow is included to acquire or generate additional color primary information. The development of a multi-primary color system is not complete if the only part of the system that supports the added primaries is within the display itself.

Referring now to the drawings in general, the illustrations are for the purpose of describing one or more preferred embodiments of the invention and are not intended to limit the invention thereto.

Additional details about multi-primary systems are available in U.S. Pat. No. 10,607,527 and U.S. Publication No. 20200251039, each of which is incorporated herein by reference in its entirety.

The multi-primary system of the present invention includes at least four primaries. The at least four primaries preferably include at least one red primary, at least one green primary, and/or at least one blue primary. In one embodiment, the at least four primaries include a cyan primary, a magenta primary, and/or a yellow primary.

In one embodiment, the multi-primary system includes six primaries. In one preferred embodiment, the six primaries include a red primary, a green primary, a blue primary, a cyan primary, a magenta primary, and a yellow primary.

6P-B

6P-B is a color set that uses the same RGB values that are defined in the ITU-R BT.709-6 television standard. The gamut includes these RGB primary colors and then adds three more color primaries orthogonal to these based on the white point. The white point used in 6P-B is D65 (ISO 11664-2).

In one embodiment, the red primary has a dominant wavelength of 609 nm, the yellow primary has a dominant wavelength of 571 nm, the green primary has a dominant wavelength of 552 nm, the cyan primary has a dominant wavelength of 491 nm, and the blue primary has a dominant wavelength of 465 nm as shown in Table 1. In one embodiment, the dominant wavelength is approximately (e.g., within ±10%) the value listed in the table below. Alternatively, the dominant wavelength is within ±5% of the value listed in the table below. In yet another embodiment, the dominant wavelength is within ±2% of the value listed in the table below.

TABLE 1
	x	y	u’	v’
W (D65)	0.3127	0.3290	0.1978	0.4683
R	0.6400	0.3300	0.4507	0.5228	609 nm
G	0.3000	0.6000	0.1250	0.5625	552 nm
B	0.1500	0.0600	0.1754	0.1578	464 nm
C	0.1655	0.3270	0.1041	0.4463	491 nm
M	0.3221	0.1266	0.3325	0.2940
Y	0.4400	0.5395	0.2047	0.5649	571 nm

FIG. 1 illustrates 6P-B compared to ITU-R BT.709-6.

6P-C

6P-C is based on the same RGB primaries defined in SMPTE RP431-2 projection recommendation. Each gamut includes these RGB primary colors and then adds three more color primaries orthogonal to these based on the white point. The white point used in 6P-B is D65 (ISO 11664-2). Two versions of 6P-C are used. One is optimized for a D60 white point (SMPTE ST2065-1), and the other is optimized for a D65 white point.

In one embodiment, the red primary has a dominant wavelength of 615 nm, the yellow primary has a dominant wavelength of 570 nm, the green primary has a dominant wavelength of 545 nm, the cyan primary has a dominant wavelength of 493 nm, and the blue primary has a dominant wavelength of 465 nm as shown in Table 2. In one embodiment, the dominant wavelength is approximately (e.g., within ±10%) the value listed in the table below. Alternatively, the dominant wavelength is within ±5% of the value listed in the table below. In yet another embodiment, the dominant wavelength is within ±2% of the value listed in the table below.

TABLE 2
	x	y	u’	v’
W (D60)	0.3217	0.3377	0.2008	0.4742
R	0.6800	0.3200	0.4964	0.5256	615 nm
G	0.2650	0.6900	0.0980	0.5777	545 nm
B	0.1500	0.0600	0.1754	0.1579	465 nm
C	0.1627	0.3419	0.0960	0.4540	493 nm
M	0.3523	0.1423	0.3520	0.3200
Y	0.4502	0.5472	0.2078	0.5683	570 nm

FIG. 2 illustrates 6P-C compared to SMPTE RP431-2 for a D60 white point.

In one embodiment, the red primary has a dominant wavelength of 615 nm, the yellow primary has a dominant wavelength of 570 nm, the green primary has a dominant wavelength of 545 nm, the cyan primary has a dominant wavelength of 423 nm, and the blue primary has a dominant wavelength of 465 nm as shown in Table 3. In one embodiment, the dominant wavelength is approximately (e.g., within ±10%) the value listed in the table below. Alternatively, the dominant wavelength is within ±5% of the value listed in the table below. In yet another embodiment, the dominant wavelength is within ±2% of the value listed in the table below.

TABLE 3
	x	y	u’	v’
W (D65)	0.3127	0.3290	0.1978	0.4683
R	0.6800	0.3200	0.4964	0.5256	615 nm
G	0.2650	0.6900	0.0980	0.5777	545 nm
B	0.1500	0.0600	0.1754	0.1579	465 nm
C	0.1617	0.3327	0.0970	0.4490	492 nm
M	0.3383	0.1372	0.3410	0.3110
Y	0.4470	0.5513	0.2050	0.5689	570 nm

FIG. 3 illustrates 6P-C compared to SMPTE RP431-2 for a D65 white point.

Super 6P

One of the advantages of ITU-R BT.2020 is that it can include all of the Pointer colors and that increasing primary saturation in a six-color primary design could also do this. Pointer is described in “The Gamut of Real Surface Colors, M. R. Pointer, Published in Colour Research and Application Volume #5, Issue #3 (1980), which is incorporated herein by reference in its entirety. However, extending the 6P gamut beyond SMPTE RP431-2 (“6P-C”) adds two problems. The first problem is the requirement to narrow the spectrum of the extended primaries. The second problem is the complexity of designing a backwards compatible system using color primaries that are not related to current standards. But in some cases, there may be a need to extend the gamut beyond 6P-C and avoid these problems. If the goal is to encompass Pointer's data set, then it is possible to keep most of the 6P-C system and only change the cyan color primary position. In one embodiment, the cyan color primary position is located so that the gamut edge encompasses all of Pointer's data set. In another embodiment, the cyan color primary position is a location that limits maximum saturation. With 6P-C, cyan is positioned as u′=0.096, v′=0.454. In one embodiment of Super 6P, cyan is moved to u′=0.075, v′=0.430 (“Super 6 Pa” (S6 Pa)). Advantageously, this creates a new gamut that covers Pointer's data set almost in its entirety. FIG. 4 illustrates Super 6 Pa compared to 6P-C.

Table 4 is a table of values for Super 6 Pa. The definition of x,y are described in ISO 11664-3:2012/CIE S 014 Part 3, which is incorporated herein by reference in its entirety. The definition of u′,v′ are described in ISO 11664-5:2016/CIE S 014 Part 5, which is incorporated herein by reference in its entirety. defines each color primary as dominant color wavelength for RGB and complementary wavelengths CMY.

TABLE 4
	x	y	u’	v’
W (D60)	0.3217	0.3377	0.2008	0.4742
W (D65)	0.3127	0.3290	0.1978	0.4683
R	0.6800	0.3200	0.4964	0.5256	615 nm
G	0.2650	0.6900	0.0980	0.5777	545 nm
B	0.1500	0.0600	0.1754	0.1579	465 nm
C	0.1211	0.3088	0.0750	0.4300	490 nm
M	0.3523	0.1423	0.3520	0.3200
Y	0.4502	0.5472	0.2078	0.5683	570 nm

In an alternative embodiment, the saturation is expanded on the same hue angle as 6P-C as shown in FIG. 5. Advantageously, this makes backward compatibility less complicated. However, this requires much more saturation (i.e., narrower spectra). In another embodiment of Super 6P, cyan is moved to u′=0.067, v′=0.449 (“Super 6Pb” (S6Pb)). Additionally, FIG. 5 illustrates Super 6Pb compared to Super 6 Pa and 6P-C.

Table 5 is a table of values for Super 6Pb. The definition of x,y are described in ISO 11664-3:2012/CIE S 014 Part 3, which is incorporated herein by reference in its entirety. The definition of u′, v′ are described in ISO 11664-5:2016/CIE S 014 Part 5, which is incorporated herein by reference in its entirety. defines each color primary as dominant color wavelength for RGB and complementary wavelengths CMY.

TABLE 5
	x	y	u’	v’
W (ACES D60)	0.32168	0.33767	0.2008	0.4742
W (D65)	0.3127	0.3290	0.1978	0.4683
R	0.6800	0.3200	0.4964	0.5256	615 nm
G	0.2650	0.6900	0.0980	0.5777	545 nm
B	0.1500	0.0600	0.1754	0.1579	465 nm
C	0.1156	0.3442	0.0670	0.4490	493 nm
M	0.3523	0.1423	0.3520	0.3200
Y	0.4502	0.5472	0.2078	0.5683	570 nm

In a preferred embodiment, a matrix is created from XYZ values of each of the primaries. As the XYZ values of the primaries change, the matrix changes. Additional details about the matrix are described below.

Formatting and Transportation of Multi-Primary Signals

The present invention includes three different methods to format video for transport: System 1, System 2, and System 3. System 1 is comprised of an encode and decode system, which can be divided into base encoder and digitation, image data stacking, mapping into the standard data transport, readout, unstack, and finally image decoding. In one embodiment, the basic method of this system is to combine opposing color primaries within the three standard transport channels and identify them by their code value.

System 2 uses a sequential method where three color primaries are passed to the transport format as full bit level image data and inserted as normal. The three additional channels are delayed by one pixel and then placed into the transport instead of the first colors. This is useful in situations where quantizing artifacts may be critical to image performance. In one embodiment, this system is comprised of the six primaries (e.g., RGB plus a method to delay the CYM colors for injection), image resolution identification to allow for pixel count synchronization, start of video identification, and RGB Delay.

System 3 utilizes a dual link method where two wires are used. In one embodiment, a first set of three channels (e.g., RGB) are sent to link A and a second set of three channels (e.g., CYM) is sent to link B. Once they arrive at the image destination, they are recombined.

To transport up to six color components (e.g., four, five, or six), System 1, System 2, or System 3 can be used as described. If four color components are used, two of the channels are set to “0”. If five color components are used, one of the channels is set to “0”. Advantageously, this transportation method works for all primary systems described herein that include up to six color components.

Comparison of Three Systems

Advantageously, System 1 fits within legacy SDI, CTA, and Ethernet transports. Additionally, System 1 has zero latency processing for conversion to an RGB display. However, System 1 is limited to 11-bit words.

System 2 is advantageously operable to transport 6 channels using 16-bit words with no compression. Additionally, System 2 fits within newer SDI, CTA, and Ethernet transport formats. However, System 2 requires double bit rate speed. For example, a 4K image requires a data rate for an 8K RGB image.

In comparison, System 3 is operable to transport up to 6 channels using 16-bit words with compression and at the same data required for a specific resolution. For example, a data rate for an RGB image is the same as for a 6P image using System 3. However, System 3 requires a twin cable connection within the video system.

Nomenclature

In one embodiment, a standard video nomenclature is used to better describe each system.

R describes red data as linear light. G describes green data as linear light. B describes blue data as linear light. C describes cyan data as linear light. M describes magenta data as linear light. Y^c and/or Y describe yellow data as linear light.

R′ describes red data as non-linear light. G′ describes green data as non-linear light. B′ describes blue data as non-linear light. C′ describes cyan data as non-linear light. M′ describes magenta data as non-linear light. Y^c′ and/or Y′ describe yellow data as non-linear light.

Y₆ describes the luminance sum of RGBCMY data. Y_RGB describes a System 2 encode that is the linear luminance sum of the RGB data. Y_CMY describes a System 2 encode that is the linear luminance sum of the CMY data.

C_R describes the data value of red after subtracting linear image luminance. CB describes the data value of blue after subtracting linear image luminance. C_C describes the data value of cyan after subtracting linear image luminance. C_Y describes the data value of yellow after subtracting linear image luminance.

Y′RGB describes a System 2 encode that is the nonlinear luminance sum of the RGB data. Y′_CMY describes a System 2 encode that is the nonlinear luminance sum of the CMY data. —Y describes the sum of RGB data subtracted from Y₆.

C′_R describes the data value of red after subtracting nonlinear image luminance. C′_B describes the data value of blue after subtracting nonlinear image luminance. C′_C describes the data value of cyan after subtracting nonlinear image luminance. C′_Y describes the data value of yellow after subtracting nonlinear image luminance.

B+Y describes a System 1 encode that includes either blue or yellow data. G+M describes a System 1 encode that includes either green or magenta data. R+C describes a System 1 encode that includes either green or magenta data.

C_R+C_C describes a System 1 encode that includes either color difference data. C_B+C_Y describes a System 1 encode that includes either color difference data.

4:4:4 describes full bandwidth sampling of a color in an RGB system. 4:4:4:4:4:4 describes full sampling of a color in an RGBCMY system. 4:2:2 describes an encode where a full bandwidth luminance channel (Y) is used to carry image detail and the remaining components are half sampled as a Cb Cr encode. 4:2:2:2:2 describes an encode where a full bandwidth luminance channel (Y) is used to carry image detail and the remaining components are half sampled as a Cb Cr Cy Cc encode. 4:2:0 describes a component system similar to 4:2:2, but where Cr and Cb samples alternate per line. 4:2:0:2:0 describes a component system similar to 4:2:2, but where Cr, Cb, Cy, and Cc samples alternate per line.

Constant luminance is the signal process where luminance (Y) are calculated in linear light. Non-constant luminance is the signal process where luminance (Y) are calculated in nonlinear light.

Deriving Color Components

When using a color difference method (4:2:2), several components need specific processing so that they can be used in lower frequency transports. These are derived as:

$Y_6^{\prime }=0.1063R^{\prime }+0.23195Y^{c^{\prime }}+0.3576G^{\prime }+0.19685C^{\prime }+0.0361B^{\prime }+0.0712M^{\prime }{G}_6^{\prime }=\left(\frac{1}{0.3576Y}\right)-\left(0.1063R^{\prime }\right)-\left(0.0361B^{\prime }\right)-\left(0.19685C^{\prime }\right)-\left(0.23195Y^{C^{\prime }}\right)-\left(0.0712M^{\prime }\right)$ $-Y^{\prime }=Y_6^{\prime }-\left(C^{\prime }+Y^{c^{\prime }}+M^{\prime }\right)C_R^{\prime }=\frac{R^{\prime }-Y_6^{\prime }}{1.7874}{C}_B^{\prime }=\frac{B^{\prime }-Y_6^{\prime }}{1.9278}{C}_C^{\prime }=\frac{C^{\prime }-Y_6^{\prime }}{1.6063}{C}_Y^{\prime }=\frac{Y^{C^{\prime }}-Y_6^{\prime }}{1.5361}{R}^{\prime }=\frac{C_R^{\prime }-Y_6^{\prime }}{1.7874}{B}^{\prime }=\frac{C_B^{\prime }-Y_6^{\prime }}{1.9278}{C}^{\prime }=\frac{C_C^{\prime }-Y_6^{\prime }}{1.6063}{Y}^{C^{\prime }}=\frac{C_Y^{\prime }-Y_6^{\prime }}{1.5361}$

The ratios for Cr, Cb, Cc, and Cy are also valid in linear light calculations.

Magenta can be calculated as follows:

$M^{\prime }=\frac{B^{\prime }+R^{\prime }}{B^{\prime }\times R^{\prime }}\mathrm{or}M=\frac{B+R}{B\times R}$

System 1

In one embodiment, the multi-primary color system is compatible with legacy systems. A backwards compatible multi-primary color system is defined by a sampling method. In one embodiment, the sampling method is 4:4:4. In one embodiment, the sampling method is 4:2:2. In another embodiment, the sampling method is 4:2:0. In one embodiment of a backwards compatible multi-primary color system, new encode and decode systems are divided into the steps of performing base encoding and digitization, image data stacking, mapping into the standard data transport, readout, unstacking, and image decoding (“System 1”). In one embodiment, System 1 combines opposing color primaries within three standard transport channels and identifies them by their code value. In one embodiment of a backwards compatible multi-primary color system, the processes are analog processes. In another embodiment of a backwards compatible multi-primary color system, the processes are digital processes.

In one embodiment, the sampling method for a multi-primary color system is a 4:4:4 sampling method. Black and white bits are redefined. In one embodiment, putting black at midlevel within each data word allows the addition of CYM color data.

FIG. 6 illustrates an embodiment of an encode and decode system for a multi-primary color system. In one embodiment, the multi-primary color encode and decode system is divided into a base encoder and digitation, image data stacking, mapping into the standard data transport, readout, unstack, and finally image decoding (“System 1”). In one embodiment, the method of this system combines opposing color primaries within the three standard transport channels and identifies them by their code value. In one embodiment, the encode and decode for a multi-primary color system are analog-based. In another embodiment, the encode and decode for a multi-primary color system are digital-based. System 1 is designed to be compatible with lower bandwidth systems and allows a maximum of 11 bits per channel and is limited to sending only three channels of up to six primaries at a time. In one embodiment, it does this by using a stacking system where either the color channel or the complementary channel is decoded depending on the bit level of that one channel.

System 2

FIG. 7 illustrates a sequential method where three color primaries are passed to the transport format as full bit level image data and inserted as normal (“System 2”). The three additional channels are delayed by one pixel and then placed into the transport instead of the first colors. This method is useful in situations where quantizing artifacts is critical to image performance. In one embodiment, this system is comprised of six primaries (RGBCYM), a method to delay the CYM colors for injection, image resolution identification to all for pixel count synchronization, start of video identification, RGB delay, and for YCCCCC systems, logic to select the dominant color primary. The advantage of System 2 is that full bit level video can be transported, but at double the normal data rate.

System 2A

System 2 sequences on a pixel to pixel basis. However, a quadrature method is also possible (“System 2A”) that is operable to transport six primaries in stereo or twelve primary image information. Each quadrant of the frame contains three color primary data sets. These are combined in the display. A first set of three primaries is displayed in the upper left quadrant, a second set of three primaries is displayed in the upper right quadrant, a third set of primaries is displayed in the lower left quadrant, and a fourth set of primaries is displayed in lower right quadrant. In one embodiment, the first set of three primaries, the second set of three primaries, the third set of three primaries, and the fourth set of three primaries do not contain any overlapping primaries (i.e., twelve different primaries). Alternatively, the first set of three primaries, the second set of three primaries, the third set of three primaries, and the fourth set of three primaries contain overlapping primaries (i.e., at least one primary is contained in more than one set of three primaries). In one embodiment, the first set of three primaries and the third set of three primaries contain the same primaries and the second set of three primaries and the fourth set of three primaries contain the same primaries.

FIG. 8A illustrates one embodiment of a quadrature method (“System 2A”). In the example shown in FIG. 8, a first set of three primaries (e.g., RGB) is displayed in the upper left quadrant, a second set of three primaries (e.g., CMY) is displayed in the upper right quadrant, a third set of three primaries (e.g., GC, BM, and RY) is displayed in the lower left quadrant, and a fourth set of three primaries (e.g., MR, YG, and CB) is displayed in the lower right quadrant. Although the example shown in FIG. 8A illustrates a backwards compatible 12P system, this is merely for illustrative purposes. The present invention is not limited to the twelve primaries shown in FIG. 8. Additionally, alternative pixel arrangements are compatible with the present invention.

FIG. 8B illustrates another embodiment of a quadrature method (“System 2A”). In the example shown in FIG. 9, a first set of three primaries (e.g., RGB) is displayed in the upper left quadrant, a second set of three primaries (e.g., CMY) is displayed in the upper right quadrant, a third set of three primaries (e.g., GC, BM, and RY) is displayed in the lower left quadrant, and a fourth set of three primaries (e.g., MR, YG, and CB) is displayed in the lower right quadrant. Although the example shown in FIG. 8B illustrates a backwards compatible 12P system, this is merely for illustrative purposes. The present invention is not limited to the twelve primaries shown in FIG. 9. Additionally, alternative pixel arrangements are compatible with the present invention.

FIG. 8C illustrates yet another embodiment of a quadrature method (“System 2A”). In the example shown in FIG. 10, a first set of three primaries (e.g., RGB) is displayed in the upper left quadrant, a second set of three primaries (e.g., CMY) is displayed in the upper right quadrant, a third set of three primaries (e.g., GC, BM, and RY) is displayed in the lower left quadrant, and a fourth set of three primaries (e.g., MR, YG, and CB) is displayed in the lower right quadrant. Although the example shown in FIG. 8C illustrates a backwards compatible 12P system, this is merely for illustrative purposes. The present invention is not limited to the twelve primaries shown in FIG. 10. Additionally, alternative pixel arrangements are compatible with the present invention.

FIG. 9A illustrates an embodiment of a quadrature method (“System 2A”) in stereo. In the example shown in FIG. 9A, a first set of three primaries (e.g., RGB) is displayed in the upper left quadrant, a second set of three primaries (e.g., CMY) is displayed in the upper right quadrant, a third set of three primaries (e.g., RGB) is displayed in the lower left quadrant, and a fourth set of three primaries (e.g., CMY) is displayed in the lower right quadrant. This embodiment allows for separation of the left eye with the first set of three primaries and the second set of three primaries and the right eye with the third set of three primaries and the fourth set of three primaries. Alternatively, a first set of three primaries (e.g., RGB) is displayed in the upper left quadrant, a second set of three primaries (e.g., RGB) is displayed in the upper right quadrant, a third set of three primaries (e.g., CMY) is displayed in the lower left quadrant, and a fourth set of three primaries (e.g., CMY) is displayed in the lower right quadrant. Alternative pixel arrangements are compatible with the present invention.

FIG. 9B illustrates another embodiment of a quadrature method (“System 2A”) in stereo. Alternative pixel arrangements are compatible with the present invention.

FIG. 9C illustrates yet another embodiment of a quadrature method (“System 2A”) in stereo. Alternative pixel arrangements are compatible with the present invention.

Advantageously, System 2A allows for the ability to display multiple primaries (e.g., 12P and 6P) on a conventional monitor. Additionally, System 2A allows for a simplistic viewing of false color, which is useful in the production process and allows for visualizing relationships between colors. It also allows for display of multiple projectors (e.g., a first projector, a second projector, a third projector, and a fourth projector).

System 3

FIG. 10 illustrates one embodiment of a system encode and decode process using a dual link method (“System 3”). System 3 utilizes a dual link method where two wires are used. In one embodiment, RGB is sent to link A and CYM is sent to link B. After arriving at the image destination, the two links are recombined.

System 3 is simpler and more straight forward than Systems 1 and 2. The advantage with this system is that adoption is simply to format non-RGB primaries (e.g., CYM) on a second link. So, in one example, for an SDI design, RGB is sent on a standard SDI stream just as it is currently done. There is no modification to the transport and this link is operable to be sent to any RGB display requiring only the compensation for the luminance difference because the CYM components are not included. CYM data is transported in the same manner as RGB data. This data is then combined in the display to make up a 6P image. The downside is that the system requires two wires to move one image. This system is operable to work with most any format including SMPTE ST292, 424, 2082, and 2110. It also is operable to work with dual HDMI/CTA connections. In one embodiment, the system includes at least one transfer function (e.g., OETF, EOTF).

FIG. 11 illustrates one embodiment of an encoding process using a dual link method.

FIG. 12 illustrates one embodiment of a decoding process using a dual link method.

System 4

Color is generally defined by three component data levels (e.g., RGB, YCbCr). A serial data stream must accommodate a word for each color contributor (e.g., R, G, B). Use of more than three primaries requires accommodations to fit this data based on an RGB concept. This is why System 1, System 2, and System 3 use stacking, sequencing, and/or dual links. Multiple words are required to define a single pixel, which is inefficient because not all values are needed.

In a preferred embodiment, color is defined as a colorimetric coordinate. Thus, every color is defined by three words. Serial systems are already based on three color contributors (e.g., RGB). System 4 preferably uses XYZ or xyY as the three color contributors.

XYZ has been used in cinema for over 10 years. XYZ needs 16 float and 32 float encode or a minimum of 12 bits for log images for better quality. Transport of XYZ must be accomplished using a 4:4:4 sample system. Less than a 4:4:4 sample system causes loss of image detail because Y is used as a coordinate, not a value. Further, X and Z are not orthogonal to Y and, therefore, also include luminance information.

However, if Y is used as a luminance value with two independent colorimetric coordinates (e.g., x and y, u′ and v′, u and v, etc.) used to describe color, then a system using subsampling is possible. The system is operable to use any two independent colorimetric coordinates with similar properties to x and y, u′ and v′, and/or u and v. In a preferred embodiment, the two independent colorimetric coordinates are x and y and the system is an xyY system. Advantageously, the two independent colorimetric coordinates are independent of a white point. In a preferred embodiment, the image data includes a reference to at least one white point.

Current technology uses components derived from the legacy NTSC television system. Encoding described in SMPTE, ITU, and CTA standards includes methods using subsampling as 4:2:2, 4:2:0, and 4:1:1. Advantageously, this allows for color transportation of more than three primaries, including, but not limited to, at least four primaries, at least five primaries, at least six primaries, at least seven primaries, at least eight primaries, at least nine primaries, at least ten primaries, at least eleven primaries, and/or at least twelve primaries (e.g., through a SMPTE 292 or an HDMI 1.2 transport).

System 1, System 2, and System 3 use a YCbCr expansion to transport six color primary data sets, and the same transport is operable to accommodate the image information as xyY where Y is the luminance information and x,y describe CIE 1931 color coordinates in the half sample segments of the data stream (e.g., 4:2:2). Alternatively, x,y are fully sampled (e.g., 4:4:4). In yet another embodiment, the sampling rate is 4:2:0 or 4:1:1.

Advantageously, there is no need to add more channels, nor is there any need to separate the luminance information from the color components. Further, x,y have no reference to any primaries because x,y are explicit colorimetric positions. In the xyY space, x and y are chromaticity coordinates such that x and y can be used to define a gamut of visible color. Another advantage is that an image can be sent as linear with a sum opto-optical transfer function (OOTF) added after the image is received, rather than requiring an OOTF within the signal. This allows for a much simpler encode and decode system.

FIG. 13 illustrates one embodiment of an xyY encode with an OETF. Image data is acquired in any format operable to be converted to XYZ data (e.g., RGB, RGBCMY, CMYK). The XYZ data is then converted to xyY data, and the xyY data is processed through an OETF. The processed xyY data is then converted to a standardized transportation format for mapping and readout. Advantageously, x and y remain as independent colorimetric coordinates and the non-linear function (e.g., OETF, log, gamma, PQ) is only applied to Y. In one embodiment, the OETF is described in ITU-R BT.2100 or ITU-R BT.1886. Advantageously, Y is orthogonal to x and y, and remains orthogonal to x and y even when a non-linear function is applied.

There are many different RGB sets so the matrix used to convert the image data from a set of RGB primaries to XYZ will involve a specific solution given the RGB values:

$\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]=\left[\begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array}\right]\left[\begin{array}{c}R\\ G\\ B\end{array}\right]$

In an embodiment where the image data is 6P-B data, the following equation is used to convert to XYZ data:

${\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D65}={\left[\begin{array}{cccccc}0.4124& 0.3576& 0.1805& 0.15749& 0.34276& 0.450206\\ 0.2126& 0.7152& 0.0721998& 0.313266& 0.13472& 0.552013\\ 0.0193001& 0.1192& 0.9505& 0.48142& 0.586662& 0.0209755\end{array}\right]\left[\begin{array}{c}R\\ G\\ B\\ C\\ M\\ Y\end{array}\right]}_{6P-B}$

In an embodiment where the image data is 6P-C data with a D60 white point, the following equation is used to convert to XYZ data:

${\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D{60}_{\mathrm{ACES}}}=\left[\begin{array}{cccccc}0.50836664& 0.26237069& 0.1833767& 0.15745217& 0.36881328& 0.42784843\\ 0.23923145& 0.68739938& 0.07336917& 0.33094114& 0.14901541& 0.52004327\\ -0.0001363& 0.04521596& 0.96599714& 0.47964602& 0.52900498& 0.00242485\end{array}\right]{\left[\begin{array}{c}R\\ G\\ B\\ C\\ M\\ Y\end{array}\right]}_{6P-C_{\mathrm{refD}60}}$

In an embodiment where the image data is 6P-C data with a D65 white point, the following equation is used to convert to XYZ data:

${\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D65}=\left[\begin{array}{cccccc}0.48657095& 0.26566769& 0.19821729& 0.32295962& -0.549698& 1.177199435\\ 0.22897456& 0.69173852& 0.07928691& 0.67867175& -0.2220324& 0.5433607\\ 0.& 0.04511338& 1.04394437& 0.98336936& -0.7885819& 0.89427025\end{array}\right]{\left[\begin{array}{c}R\\ G\\ B\\ C\\ M\\ Y\end{array}\right]}_{6P-C_{\mathrm{refD}65}}$

To convert the XYZ data to xyY data, the following equations are used:

$\begin{array}{cc}Y=Y& \begin{array}{cc}x=\frac{X}{\left(X+Y+Z\right)}& y=\frac{Y}{\left(X+Y+Z\right)}\end{array}\end{array}$

FIG. 14 illustrates one embodiment of an xyY encode without an OETF. Image data is acquired in any format operable to be converted to XYZ data (e.g., RGB, RGBCMY, CMYK). The XYZ data is then converted to xyY data, and then converted to a standardized transportation format for mapping and readout.

FIG. 15 illustrates one embodiment of an xyY decode with an electro-optical transfer function (EOTF). After mapping and readout, the data is processed through an EOTF to yield the xyY data. The xyY data is then converted back to the XYZ data. The XYZ data is operable to be converted to multiple data formats including, but not limited to, RGB, CMYK, 6P (e.g., 6P-B, 6P-C), and gamuts including at least four primaries through at least twelve primaries.

Finally, the XYZ data must converted to the correct standard color space. In an embodiment where the color gamut used is a 6P-B color gamut, the following equations are used:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}_{6P-B}={\left[\begin{array}{ccc}3.240625& -1.537208& -0.498629\\ -0.968931& 1.875756& 0.041518\\ 0.055710& -0.204021& 1.056996\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D65}{\left[\begin{array}{c}C\\ M\\ Y\end{array}\right]}_{6P-B}={\left[\begin{array}{ccc}-3.496203& 2.798197& 1.400100\\ 2.822710& -2.324505& 0.589173\\ 1.295195& 0.790883& -0.938342\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D65}$

In an embodiment where the color gamut used is a 6P-C color gamut with a D60 white point, the following equations are used:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}_{6P-C_{\mathrm{refD}60}}={\left[\begin{array}{ccc}2.402666& -0.897456& -0.388041\\ -0.832567& 1.769204& 0.023712\\ 0.038833& -0.082520& 1.036625\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D{60}_{ACES}}{\left[\begin{array}{c}C\\ M\\ Y\end{array}\right]}_{6P-C_{\mathrm{refD}60}}={\left[\begin{array}{ccc}-2.959036& 2.427947& 1.379050\\ 2.695538& -2.220786& 0.647402\\ 1.116577& 1.007431& -1.061986\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D{60}_{ACES}}$

In another embodiment where the color used is a 6P-C color gamut with a D65 white point, the following equations are used:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}_{6P-C_{\mathrm{refD}65}}={\left[\begin{array}{ccc}2.479190& -0.919911& -0.400759\\ -0.829514& 1.762731& 0.023585\\ 0.036423& -0.076852& 0.957005\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D65}{\left[\begin{array}{c}C\\ M\\ Y\end{array}\right]}_{6P-C_{\mathrm{refD}65}}={\left[\begin{array}{ccc}-3.020525& 2.444939& 1.309331\\ 2.686642& -2.180032& 0.575266\\ 1.198493& 0.982883& -1.030246\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]}_{D65}$

In an embodiment where the color gamut used is an ITU-R BT709.6 color gamut, the matrices are as follows:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}_{\mathrm{BT}\text{.709}}=\left[\begin{array}{ccc}3.2405& -1.5371& -0.4985\\ -0.9693& 1.8760& 0.0416\\ 0.0556& -0.2040& 1.0572\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]$

In an embodiment where the color gamut used is a SMPTE RP431-2 color gamut, the matrices are as follows:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}_{\mathrm{RP}431}=\left[\begin{array}{ccc}2.7254& -1.0180& -0.4402\\ -0.7952& 1.6897& 0.0226\\ 0.0412& -0.0876& 1.1009\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]$

In an embodiment where the color gamut used is an ITU-R BT.2020/2100 color gamut, the matrices are as follows:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}_{\mathrm{BT}2020}=\left[\begin{array}{ccc}1.7166512& -0.3556708& -0.2533663\\ -0.6666844& 1.6164812& 0.0157685\\ 0.0176399& -0.0427706& 0.9421031\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]$

To convert the xyY data to the XYZ data, the following equations are used:

$Y=\mathrm{YX}=\left(\frac{x}{y}\right)\mathrm{YZ}=\left(\frac{\left(1-x-y\right)}{y}\right)Y$

FIG. 16 illustrates one embodiment of an xyY decode without an EOTF. After mapping and readout, the xyY data is then converted to the XYZ data. The XYZ data is operable to be converted to multiple data formats including, but not limited to, RGB, CMYK, 6P (e.g., 6P-B, 6P-C), and gamuts including at least four primaries through at least twelve primaries.

FIG. 17 illustrates one embodiment of a 4:2:2 xyY encode with an OETF. A full bandwidth luminance channel (Y) is used to carry image detail and the remaining color coordinate components (e.g., x,y) are half sampled. In the example shown in FIG. 17, the xyY data undergoes a 4:2:2 encode. Other encoding methods (e.g., 4:4:4, 4:2:0, 4:1:1) are compatible with the present invention. Other quantization methods and bit depths are also compatible with the present invention. In one embodiment, the bit depth is 8 bits, 10 bits, 12 bits, 14 bits, and/or 16 bits. In one embodiment, the xyY values are sampled as floats.

FIG. 18 illustrates one embodiment of a 4:2:2 xyY encode without an OETF. In the example shown in FIG. 18, the xyY data undergoes a 4:2:2 encode. Other encoding methods (e.g., 4:4:4, 4:2:0, 4:1:1) are compatible with the present invention.

FIG. 19 illustrates one embodiment of a 4:4:4 xyY encode with an OETF. A full bandwidth luminance channel (Y) is used to carry image detail and the remaining color coordinate components (e.g., x,y) are also fully sampled. In the example shown in FIG. 19, the xyY data undergoes a 4:4:4 encode. Other encoding methods (e.g., 4:2:2, 4:2:0, 4:1:1) are compatible with the present invention.

FIG. 20 illustrates one embodiment of a 4:4:4 xyY encode without an OETF. In the example shown in FIG. 20, the xyY data undergoes a 4:4:4 encode. Other encoding methods (e.g., 4:2:2, 4:2:0, 4:1:1) are compatible with the present invention.

FIG. 21 illustrates sample placements of xyY system components for a 4:2:2 pixel mapping. A plurality of pixels (e.g., P₀₀-P₃₅) is shown in FIG. 21. The first subscript number refers to a row number and the second subscript number refers to a column number. For pixel P₀₀, Y′_INT00 is the luma and the color components are x_INT00 and y_INT00. For pixel P₀₁, Y′_INT01 is the luma. For pixel P₁₀, Y′_INT10 is the luma and the color components are x_INT10 and y_INT10. For pixel P₁₁, Y′_INT11 is the luma. In one embodiment, the luma and the color components (e.g., the set of image data) corresponding to a particular pixel (e.g., P₀₀) is used to calculate color and brightness of subpixels. Although the example shown in FIG. 21 includes luma, it is equally possible that the data is sent linearly as luminance (e.g., Y_INT00).

FIG. 22 illustrates sample placements of xyY system components for a 4:2:0 pixel mapping. A plurality of pixels (e.g., P₀₀-P₃₅) is shown in FIG. 22. The first subscript number refers to a row number and the second subscript number refers to a column number. For pixel P₀₀, Y′_INT00 is the luma and the color components are x_INT00 and y_INT00. For pixel P₀₁, Y′_INT01 is the luma. For pixel P₁₀, Y′_INT10 is the luma. For pixel P₁₁, Y′_INT11 is the luma. In one embodiment, the luma and the color components corresponding to a particular pixel (e.g., Poo) is used to calculate color and brightness of subpixels. Although the example shown in FIG. 22 includes luma, it is equally possible that the data is sent linearly as luminance (e.g., Y_INT00).

In one embodiment, the set of image data includes pixel mapping data. In one embodiment, the pixel mapping data includes a subsample of the set of values in xyY color space (e.g., 4:2:2). In one embodiment, the pixel mapping data includes an alignment of the set of values in xyY color space.

Table 6 illustrates mapping to SMPTE S2110 for 4:2:2 sampling. Table 7 illustrates mapping to SMPTE S2110 for 4:4:4 linear and non-linear sampling.

TABLE 6
		pgroup	Y PbPr
Sampling	Bit Depth	octets	pixels	Sample Order	xyY
4:2:2	8	8	2	CB’, Y0’, CR’, Y1’	y0, Y0’, x0, y1, Y1’, x1
	10	10	2	CB’, Y0’, CR’, Y1’	y0, Y0’, x0, y1, Y1’, x1
	12	12	2	CB’, Y0’, CR’, Y1’	y0, Y0’, x0, y1, Y1’, x1
	16, 16f	16	2	C’B, Y0’, C’R, Y’1	y0, Y0’, x0, y1, Y1’, x1

TABLE 7
	Bit	pgroup
Sampling	Depth	octets	pixels	RGB/XYZ Sample Order	xyY
4:4:4	8	3	1	R, G, B	x, Y’, y
Linear	10	15	4	R0, G0, B0, R1, G1, B1, R2,	x, Y0’, y, x, Y1’, y,
				G2, B2	x, Y2’, y
	12	9	2	R0, G0, B0, R1, G1, B1	x, Y0’, y, x, Y1’, y
	16, 16f	6	1	R, G, B	x, Y’, y
4:4:4	8	3	1	R’, G’, B’	x, Y’, y
Non-	10	15	4	R0’, G0, B0, R1’, G1, B1’,	x, Y0’, y, x, Y1’, y,
Linear				R2’, G2’, B2’	x, Y2’, y
	12	9	2	R0’, G0, B0, R1’, G1, B1’	x, Y0’, y, x, Y1’, y
	16, 16f	6	1	R’, G’, B’	x, Y’, y

FIG. 23 illustrates one embodiment of a SMPTE ST292 xyY system mapping. To fit an xyY system into a SMPTE ST292 stream involves the following substitutions: Y′_INT is placed in the Y data segments, x_INT is placed in the Cr data segments, and y_INT is placed in the Cb data segments.

FIG. 24 illustrates one embodiment of a SMPTE ST2082 xyY system mapping. To fit an xyY system into a SMPTE ST2082 stream involves the following substitutions: Y′_INT is placed in the G data segments, x_INT is placed in the R data segments, and y_INT is placed in the B data segments.

FIG. 25 illustrates one embodiment of xyY inserted into a CTA 861 stream.

FIG. 26 illustrates one embodiment of an xyY decode with an EOTF.

FIG. 27 illustrates one embodiment of an xyY decode without an EOTF.

Advantageously, XYZ is used as the basis of ACES for cinematographers and allows for the use of colors outside of the ITU-R BT.709 and/or the P3 color spaces. Further, XYZ is used for other standards (e.g., JPEG 2000, Digital Cinema Initiatives (DCI)), which could be easily adapted for System 4.

In one embodiment, the image data converter includes at least one look-up table (LUT). In one embodiment, the at least one look-up table maps out of gamut colors to zero. In one embodiment, the at least one look-up table maps out of gamut colors to a periphery of visible colors.

Transfer Functions

The system design minimizes limitations to use standard transfer functions for both encode and/or decode processes. Current practices used in standards include, but are not limited to, ITU-R BT.1886, ITU-R BT.2020, SMPTE ST274, SMPTE ST296, SMPTE ST2084, and ITU-R BT.2100. These standards are compatible with this system and require no modification.

Encoding and decoding 6P images is formatted into several different configurations to adapt to image transport frequency limitations. The highest quality transport is obtained by keeping all components as RGBCMY components. This uses the highest sampling frequencies and requires the most signal bandwidth. An alternate method is to sum the image details in a luminance channel at full bandwidth and then send the color difference signals at half or quarter sampling (e.g., Y Cr Cb Cc Cy). This allows a similar image to pass through lower bandwidth transports.

An IPT system is a similar idea to the xyY system with several exceptions. An IPT system or an IC_TC_P system is still an extension of XYZ and is operable to be derived from RGB and RGBCMY color coordinates. An IPT color description can be substituted within a 4:4:4 sampling structure, but XYZ has already been established and does not require the same level of calculations. For an IC_TC_P transport system, similar substitutions can be made. However, both substitution systems are limited in that an OOTF is contained in all three components.

For transport, simple substitutions can be made using the foundation of what is described with transport of XYZ for the use of IPT in current systems as well as the current standards used for IC_TC_P.

FIG. 28A illustrates one embodiment of an IPT 4:4:4 encode.

FIG. 28B illustrates one embodiment of an IPT 4:4:4 decode.

FIG. 29A illustrates one embodiment of an IC_TC_P 4:2:2 encode.

FIG. 29B illustrates one embodiment of an IC_TC_P 4:2:2 decode.

Transfer functions used in systems 1, 2, and 3 are generally framed around two basic implementations. For images displaying using a standard dynamic range, the transfer functions are defined within two standards. The OETF is defined in ITU-R BT.709-6, table 1, row 1.2. The inverse function, the EOTF, is defined in ITU-R BT.1886. For high dynamic range imaging, the perceptual quantizer (PQ) and hybrid log-gamma (HLG) curves are described in ITU-R BT.2100-2: 2018, table 4.

System 4 is operable to use any of the transfer functions, which can be applied to the Y component. However, to improve compatibility and to simplify conversion between standard EOTFs, a new method has been developed: a ½ gamma function. Advantageously, the ½ gamma function allows for a single calculation from the Y component of the xyY signal to the display. Advantageously, the ½ gamma function is designed for data efficiency, not as an optical transform function. In one embodiment, the ½ gamma function is used instead of a nonlinear function (e.g., OETF or EOTF). In one embodiment, signal input to the ½ gamma function is assumed to be linear and constrained between values of 0 and 1. In one embodiment, the ½ gamma function is optimized for 10 bit transport and/or 12 bit transport. Alternatively, the ½ gamma function is optimized for 14 bit transport and/or 16 bit transport. In an alternative embodiment, the ½ gamma function is optimized for 8 bit transport. A typical implementation applies an inverse of the ½ gamma function, which linearizes the signal. A conversion to a display gamut is then applied.

FIG. 103 illustrates one embodiment of a ½ gamma function.

In one embodiment, for a source n=√{square root over (L)} and for a display L=n². In another embodiment, a display gamma is calculated as L=n²/λ, where Δ is a desired final EOTF. Advantageously, using the ½ gamma function with the display gamma combines the functions into a single step rather than utilizing a two-step conversion process. In one embodiment, at least one tone curve is applied after the ½ gamma function. The ½ gamma function advantageously provides ease to convert to and from linear values. Given that all color and tone mapping has to be done in the linear domain, having a simple to implement conversion is desirable and makes the conversion to and from linear values easier and simpler.

FIG. 104 illustrates a graph of maximum quantizing error using the ½ gamma function. The maximum quantizing error from an original 16 bit image (black trace) to a 10 bit (blue trace) signal is shown in the graph. In the embodiment shown in the graph, the maximum quantizing error is less than 0.1% (e.g., 0.0916%) for 16 bit to 10 bit conversion using the ½ gamma function. This does not include any camera log functions designed into a camera. The graph also shows the maximum quantizing error from the original 16 bit image to a 12 bit (red trace) signal and a 14 bit (green trace) signal.

Encoder and Decoder

In one embodiment, the multi-primary system includes an encoder operable to accept image data input (e.g., RAW, SDI, HDMI). In one embodiment, the image data input is from a camera, a computer, a processor, a flash memory card, a network (e.g., local area network (LAN)), or any other file storage or transfer medium operable to provide image data input. The encoder is operable to send processed image data (e.g., xyY, XYZ) to a decoder (e.g., via wired or wireless communication). The decoder is operable to send formatted image data (e.g., SDI, HDMI, Ethernet, xyY, XYZ, legacy RGB) to at least one viewing device (e.g., display, monitor, projector) for display (e.g., via wired or wireless communication). In one embodiment, the decoder is operable to send formatted image data to at least two viewing devices simultaneously. In one embodiment, two or more of the at least two viewing devices use different color spaces and/or formats. In one example, the decoder sends formatted image data to a first viewing device in HDMI and a second viewing device in SDI. In another example, the decoder sends formatted image data as RGBCMY to a first viewing device and as legacy RGB (e.g., Rec. 709) to a second viewing device. In one embodiment, the Ethernet formatted image data is compatible with SMPTE 2022. Additionally or alternatively, the Ethernet formatted image data is compatible with SMPTE 2110.

The encoder and the decoder preferably include at least one processor. By way of example, and not limitation, the at least one processor may be a general-purpose microprocessor (e.g., a central processing unit (CPU)), a graphics processing unit (GPU), a microcontroller, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA), a Programmable Logic Device (PLD), a controller, a state machine, gated or transistor logic, discrete hardware components, or any other suitable entity or combinations thereof that can perform calculations, process instructions for execution, and/or other manipulations of information. In one embodiment, one or more of the at least one processor is operable to run predefined programs stored in at least one memory of the encoder and/or the decoder.

The encoder and/or the decoder include hardware, firmware, and/or software. In one embodiment, the encoder and/or the decoder is operable to be inserted into third party software (e.g., via a dynamic-link library (DLL)). In one embodiment, functionality and/or features of the encoder and/or the decoder are combined for efficiency.

FIG. 105A illustrates one embodiment of an encoder. The encoder includes at least one encoder input (e.g., SDI, HDMI, SMPTE 2110, SMPTE 2022, DisplayPort, fiber) and at least one encoder output (e.g., SDI, HDMI, SMPTE 2110, SMPTE 2022, xyY SDI, xyY DisplayPort, fiber). The encoder preferably includes an encoder operations programming port operable to provide updates to firmware and/or software on the encoder. For example, the encoder operations programming port is operable to update library functions, internal formatting, and look-up tables in the encoder. The encoder further includes an encoder equalizer, at least one encoder serial to parallel (S/P) converter (e.g., SDI S/P converter, HDMI S/P, Ethernet S/P converter), at least one encoder flash card reader, at least one Ethernet port, at least one encoder memory, a DeBayer engine, a linear converter, a scaler (e.g., 0-1), at least one custom encoder LUT, an RGB-to-XYZ converter (e.g., RGB in Rec. 709, P3, Rec. 2020, 6P, custom), an XYZ-to-xyY converter, a gamma function (e.g., ½ gamma), a sampling selector (e.g., 4:4:4, 4:2:2, 4:2:0), at least one encoder parallel to serial (P/S) converter (e.g., SDI P/S converter, HDMI P/S converter, Ethernet P/S converter), at least one encoder formatter (e.g., SDI formatter, HDMI formatter, Ethernet formatter), and/or a watermark engine. In one embodiment, the input data is operable to bypass any combination of processing stages and/or components in the encoder.

In one embodiment, the encoder operations port is operable to connect to an encoder control system (e.g., via a micro universal serial bus (USB) or equivalent). In one embodiment, the encoder control system is operable to control the at least one memory that holds tables for the DeBayer engine, load modifications to the linear converter and/or scaler, select the at least one input, loads a table for the at least one custom encoder LUT, bypass one or more of the at least one custom encoder LUT, bypass the DeBayer engine, add or modify conversion tables for the RGB to XYZ converter, modify the gamma function (e.g., a ½ gamma function), turn the watermark engine on or off, modify a digital watermark for the watermark engine, and/or perform functions for the flash memory player (e.g., play, stop, forward, fast forward, rewind, fast rewind, frame selection).

In one embodiment, the at least one S/P converter is up to n bit. The at least one S/P converter preferably formats the processed image data so that the encoder and/or the decoder is operable to use parallel processing. Advantageously, parallel processing keeps processing fast and minimizes latency.

The at least one encoder formatter is operable to organize the serial stream as a proper format. In a preferred embodiment, the encoder includes a corresponding encoder formatter for each of the at least one encoder output. For example, if the encoder includes at least one HDMI output in the at least one encoder output, the encoder also includes at least one HDMI formatter in the at least one encoder formatter; if the encoder includes at least one SDI output in the at least one encoder output, the encoder also includes at least one SDI formatter in the at least one encoder formatter; if the encoder includes at least one Ethernet output in the at least one encoder output, the encoder also includes at least one Ethernet formatter in the at least one encoder formatter; and so forth.

In one embodiment, the DeBayer engine is operable to convert raw image data into a 3-channel image (e.g., RGB). In one embodiment, the DeBayer engine is bypassed for data that is not in a raw image format. In one embodiment, the DeBayer engine is configured to accommodate at least three primaries (e.g., 3, 4, 5, 6, 7, 8, etc.) in the Bayer or stripe pattern.

In one embodiment, the at least one custom encoder LUT is operable to transform an input (e.g., a standard from a manufacturer) to XYZ or xyY. Examples of the input include, but are not limited to, RED Log 3G10, ARRI log C, ACEScc, SONY S-Log, CANON Log, PANASONIC V Log, PANAVISION Panalog, and/or BLACK MAGIC CinemaDNG. In one embodiment, the at least one customer encoder LUT is operable to transform the input to an output according to artistic needs. In one embodiment, the encoder does not include the RGB-to-XYZ converter or the XYZ-to-xyY converter, as this functionality is incorporated into the at least one custom encoder LUT. In one embodiment, the at least one custom encoder LUT is a 65 cube look-up table. The at least one custom encoder LUT is preferably compatible with ACES Common LUT Format (CLF)—A Common File Format for Look-Up Tables S-2014-006, which is incorporated herein by reference in its entirety.

The watermark engine is operable to modify an image from an original image to include a digital watermark. In one embodiment, the digital watermark is outside of the ITU-R BT.2020 color gamut. In one embodiment, the digital watermark is compressed, collapsed, and/or mapped to an edge of the smaller color gamut such that it is not visible and/or not detectable when displayed on a viewing device with a smaller color gamut than ITU-R BT.2020. In another embodiment, the digital watermark is not visible and/or not detectable when displayed on a viewing device with an ITU-R BT.2020 color gamut. In one embodiment, the digital watermark is a watermark image (e.g., logo), alphanumeric text (e.g., unique identification code), and/or a modification of pixels. In one embodiment, the digital watermark is invisible to the naked eye. In a preferred embodiment, the digital watermark is perceptible when decoded by an algorithm. In one embodiment, the algorithm uses an encryption key to decode the digital watermark. In another embodiment, the digital watermark is visible in a non-obtrusive manner (e.g., at the bottom right of the screen). The digital watermark is preferably detectable after size compression, scaling, cropping, and/or screenshots. In yet another embodiment, the digital watermark is an imperceptible change in sound and/or video. The digital watermark is a dynamic digital watermark and/or a static digital watermark. In one embodiment, the dynamic digital watermark works as a full frame rate or a partial frame rate (e.g., half frame rate).

In an alternative embodiment, the at least one encoder input already includes a digital watermark when input to the encoder. In one embodiment, a camera includes the digital watermark on an image signal that is input to the encoder as the at least one encoder input.

FIG. 105B illustrates another embodiment of an encoder.

FIG. 106A illustrates one embodiment of a decoder. The decoder includes at least one decoder input (e.g., SDI, HDMI, Ethernet, xyY SDI, xyY HDMI, xyY Ethernet) and at least one decoder output (e.g., xyY SDI, at least one SDI, ½ gamma XYZ, HDMI, Ethernet, fiber). The decoder preferably includes a decoder operations programming port operable to provide updates to firmware and/or software on the decoder. The decoder further includes a decoder equalizer, at least one decoder serial to parallel (S/P) converter (e.g., SDI S/P converter, HDMI S/P converter), a watermark detection engine, a watermark subtraction engine, a gamma to linear converter (e.g., ½ gamma to linear converter), a sampling converter (e.g., 4:2:2 or 4:2:0 to 4:4:4 converter), at least one xyY-to-XYZ converter, a gamma library (e.g., linear, 2.2, 2.35, 2.4, 2.6, HLG, PQ, custom), an XYZ-to-RGB library (e.g., Rec. 709, P3, Rec. 2020), at least one custom decoder LUT, at least one decoder parallel to serial (P/S) converter (e.g., SDI ½ gamma XYZ, at least one SDI, HDMI), and/or at least one decoder formatter (e.g., SDI ½ gamma XYZ formatter, SDI RGB formatter, SDI CMY formatter, HDMI formatter). In one embodiment, the processed image data is operable to bypass any combination of processing stages and/or components in the decoder.

In one embodiment, the decoder operations port is operable to connect to a decoder control system (e.g., via a micro universal serial bus (USB) or equivalent). In one embodiment, the decoder control system is operable to select the at least one decoder input, perform functions for the flash memory player (e.g., play, stop, forward, fast forward, rewind, fast rewind, frame selection), turn watermark detection on or off, add or modify a gamma library and/or look-up table selection, add or modify an XYZ to RGB library and/or look-up table selection, load data to the at least one custom decoder LUT, select bypass of one or more of the custom decoder LUT, and/or modify the Ethernet SDP.

In one embodiment, the at least one SDI output includes more than one SDI output. Advantageously, this allows for output over multiple links (e.g., System 3). In one embodiment, the at least one SDI output includes a first SDI output and a second SDI output. In one embodiment, the first SDI output is used to transport a first set of color channel data (e.g., RGB) and the second SDI output is used to transport a second set of color channel data (e.g., CMY).

The watermark detection engine detects the digital watermark. The watermark subtraction engine removes the digital watermark from image data before formatting for display on the at least one viewing device. In a preferred embodiment, the decoder requires the digital watermark in the processed image data sent from the encoder to provide the at least one decoder output. Thus, the decoder does not send color channel data to the at least one viewing device if the digital watermark is not present in the processed image data. In an alternate embodiment, the decoder is operable to provide the at least one decoder output without the digital watermark in the processed image data sent from the encoder. If the digital watermark is not present in the processed image data, an image displayed on the at least one viewing device preferably includes a visible watermark.

In one embodiment, the at least one custom decoder LUT includes a 9-column LUT. In one embodiment, the 9-column LUT includes 3 columns for a legacy RGB output (e.g., Rec. 709, Rec. 2020, P3) and 6 columns for multi-primary display (e.g., RGBCMY). In one embodiment, the at least one custom decoder LUT (e.g., the 9-column LUT) is operable to produce output values using tetrahedral interpolation. Advantageously, tetrahedral interpolation uses a smaller volume of color space to determine the output values, resulting in more accurate color channel data. In one embodiment, each of the tetrahedrons used in the tetrahedral interpolation includes a neutral diagonal. Advantageously, this embodiment works even with having less than 6 color channels. For example, a 4P output (e.g., RGBC) or a 5P output (e.g., RGBCY) using an FPGA is operable to be produced using tetrahedral interpolation. Further, this embodiment allows for an encoder to produce legacy RGB output in addition to multi-primary output. In an alternative embodiment, the at least one custom decoder LUT is operable to produce output value using cubic interpolation.

In one embodiment, the at least one custom decoder LUT is operable to be used for streamlined HDMI transport. In one embodiment, the at least one custom decoder LUT is a 3D LUT. In one embodiment, the at least one custom decoder LUT is operable to take in a 3-column input (e.g., RGB, XYZ) and produce an output of greater than three columns (e.g., RGBC, RGBCY, RGBCMY). Advantageously, this system only requires 3 channels of data as the input to the at least one custom decoder LUT. In one embodiment, the at least one custom decoder LUT applies a gamma function and/or a curve to produce a linear output. In another embodiment, the at least one custom decoder LUT is a trimming LUT.

FIG. 106B illustrates another embodiment of a decoder.

The encoder and/or the decoder are operable to generate, insert, and/or recover metadata related to an image signal. The metadata includes, but is not limited to, a color space (e.g., 6P-B, 6P-C), an image transfer function (e.g., gamma, PQ, HLG, ½ gamma), a peak white value, and/or a signal format (e.g., RGB, xyY, RGBCMY). In one embodiment, the metadata is inserted into SDI or ST2110 using ancillary (ANC) data packets. In another embodiment, the metadata is inserted using Vendor Specific InfoFrame (VSIF) data as part of the CTA 861 standard.

Additional details about the multi-primary system and the display are included in U.S. application Ser. No. 17/180,441 and U.S. Patent Publication Nos. 20210027693, 20210020094, 20210035487, and 20210043127, each of which is incorporated herein by reference in its entirety.

Six-Primary Color Encode Using a 4:4:4 Sampling Method

FIG. 30 illustrates one embodiment of a six-primary color system encode using a 4:4:4 sampling method.

Subjective testing during the development and implementation of the current digital cinema system (DCI Version 1.2) showed that perceptible quantizing artifacts were not noticeable with system bit resolutions higher than 11 bits. Current serial digital transport systems support 12 bits. Remapping six color components to a 12-bit stream is accomplished by lowering the bit limit to 11 bits (values 0 to 2047) for 12-bit serial systems or 9 bits (values 0 to 512) for 10-bit serial systems. This process is accomplished by processing RGBCYM video information through a standard Optical Electronic Transfer Function (OETF) (e.g., ITU-R BT.709-6), digitizing the video information as four samples per pixel, and quantizing the video information as 11-bit or 9-bit.

In another embodiment, the RGBCYM video information is processed through a standard Optical Optical Transfer Function (OOTF). In yet another embodiment, the RGBCYM video information is processed through a Transfer Function (TF) other than OETF or OOTF. TFs consist of two components, a Modulation Transfer Function (MTF) and a Phase Transfer Function (PTF). The MTF is a measure of the ability of an optical system to transfer various levels of detail from object to image. In one embodiment, performance is measured in terms of contrast (degrees of gray), or of modulation, produced for a perfect source of that detail level. The PTF is a measure of the relative phase in the image(s) as a function of frequency. A relative phase change of 180°, for example, indicates that black and white in the image are reversed. This phenomenon occurs when the TF becomes negative.

There are several methods for measuring MTF. In one embodiment, MTF is measured using discrete frequency generation. In one embodiment, MTF is measured using continuous frequency generation. In another embodiment, MTF is measured using image scanning. In another embodiment, MTF is measured using waveform analysis.

In one embodiment, the six-primary color system is for a 12-bit serial system. Current practices normally set black at bit level 0 and white at bit level 4095 for 12-bit video. In order to package six colors into the existing three-serial streams, the bit defining black is moved to bit level 2048. Thus, the new encode has RGB values starting at bit level 2048 for black and bit level 4095 for white and CYM values starting at bit level 2047 for black and bit level 0 as white. In another embodiment, the six-primary color system is for a 10-bit serial system.

FIG. 31 illustrates one embodiment for a method to package six channels of primary information into the three standard primary channels used in current serial video standards by modifying bit numbers for a 12-bit SDI and a 10-bit SDI. FIG. 32 illustrates a simplified diagram estimating perceived viewer sensation as code values define each hue angle. TABLE 8 and TABLE 9 list bit assignments for computer, production, and broadcast for a 12-bit system and a 10-bit system, respectively. In one embodiment, “Computer” refers to bit assignments compatible with CTA 861-G, November 2016, which is incorporated herein by reference in its entirety. In one embodiment, “Production” and/or “Broadcast” refer to bit assignments compatible with SMPTE ST 2082-0 (2016), SMPTE ST 2082-1 (2015), SMPTE ST 2082-10 (2015), SMPTE ST 2082-11 (2016), SMPTE ST 2082-12 (2016), SMPTE ST 2110-10 (2017), SMPTE ST 2110-20 (2017), SMPTE ST 2110-21 (2017), SMPTE ST 2110-30 (2017), SMPTE ST 2110-31 (2018), and/or SMPTE ST 2110-40 (2018), each of which is incorporated herein by reference in its entirety.

TABLE 8
12-Bit Assignments
	Computer	Production	Broadcast
	RGB	CYM	RGB	CYM	RGB	CYM
Peak Brightness	4095	0	4076	16	3839	256
Minimum Brightness	2048	2047	2052	2032	2304	1792

TABLE 9
10-Bit Assignments
	Computer	Production	Broadcast
	RGB	CYM	RGB	CYM	RGB	CYM
Peak Brightness	1023	0	1019	4	940	64
Minimum Brightness	512	511	516	508	576	448

In one embodiment, the OETF process is defined in ITU-R BT.709-6, which is incorporated herein by reference in its entirety. In one embodiment, the OETF process is defined in ITU-R BT.709-5, which is incorporated herein by reference in its entirety. In another embodiment, the OETF process is defined in ITU-R BT.709-4, which is incorporated herein by reference in its entirety. In yet another embodiment, the OETF process is defined in ITU-R BT.709-3, which is incorporated herein by reference in its entirety. In yet another embodiment, the OETF process is defined in ITU-R BT.709-2, which is incorporated herein by reference in its entirety. In yet another embodiment, the OETF process is defined in ITU-R BT.709-1, which is incorporated herein by reference in its entirety.

In one embodiment, the encoder is a non-constant luminance encoder. In another embodiment, the encoder is a constant luminance encoder.

Six-Primary Color Packing/Stacking Using a 4:4:4 Sampling Method

FIG. 33 illustrates one embodiment for a method of stacking/encoding six-primary color information using a 4:4:4 video system. Image data must be assembled according the serial system used. This is not a conversion process, but instead is a packing/stacking process. In one embodiment, the packing/stacking process is for a six-primary color system using a 4:4:4 sampling method.

FIG. 34 illustrates one embodiment for a method of unstacking/decoding six-primary color information using a 4:4:4 video system. In one embodiment, the RGB channels and the CYM channels are combined into one 12-bit word and sent to a standardized transport format. In one embodiment, the standardized transport format is SMPTE ST424 SDI. In one embodiment, the decode is for a non-constant luminance, six-primary color system. In another embodiment, the decode is for a constant luminance, six-primary color system. In yet another embodiment, an electronic optical transfer function (EOTF) (e.g., ITU-R BT.1886) coverts image data back to linear for display. In one embodiment, the EOTF is defined in ITU-R BT.1886 (2011), which is incorporated herein by reference in its entirety. FIG. 35 illustrates one embodiment of a 4:4:4 decoder.

System 2 uses sequential mapping to the standard transport format, so it includes a delay for the CYM data. The CYM data is recovered in the decoder by delaying the RGB data. Since there is no stacking process, the full bit level video can be transported. For displays that are using optical filtering, this RGB delay could be removed and the process of mapping image data to the correct filter could be eliminated by assuming this delay with placement of the optical filter and the use of sequential filter colors.

Two methods can be used based on the type of optical filter used. Since this system is operating on a horizontal pixel sequence, some vertical compensation is required and pixels are rectangular. This can be either as a line double repeat using the same RGBCYM data to fill the following line as shown in FIG. 36, or could be separated as RGB on line one and CYM on line two as shown in FIG. 37. The format shown in FIG. 37 allows for square pixels, but the CMY components requires a line delay for synchronization. Other patterns eliminating the white subpixel are also compatible with the present invention.

FIG. 38 illustrates an embodiment of the present invention for sending six primary colors to a standardized transport format using a 4:4:4 encoder according to System 2. Encoding is straight forward with a path for RGB sent directly to the transport format. RGB data is mapped to each even numbered data segment in the transport. CYM data is mapped to each odd numbered segment. Because different resolutions are used in all of the standardized transport formats, there must be identification for what they are so that the start of each horizontal line and horizontal pixel count can be identified to time the RGB/CYM mapping to the transport. The identification is the same as currently used in each standardized transport function. TABLE 10, TABLE 11, TABLE 12, and TABLE 13 list 16-bit assignments, 12-bit assignments, 10-bit assignments, and 8-bit assignments, respectively. In one embodiment, “Computer” refers to bit assignments compatible with CTA 861-G, November 2016, which is incorporated herein by reference in its entirety. In one embodiment, “Production” and/or “Broadcast” refer to bit assignments compatible with SMPTE ST 2082-0 (2016), SMPTE ST 2082-1 (2015), SMPTE ST 2082-10 (2015), SMPTE ST 2082-11 (2016), SMPTE ST 2082-12 (2016), SMPTE ST 2110-10 (2017), SMPTE ST 2110-20 (2017), SMPTE ST 2110-21 (2017), SMPTE ST 2110-30 (2017), SMPTE ST 2110-31 (2018), and/or SMPTE ST 2110-40 (2018), each of which is incorporated herein by reference in its entirety.

TABLE 10
16-Bit Assignments
	Computer	Production
	RGB	CYM	RGB	CYM
Peak Brightness	65536	65536	65216	65216
Minimum Brightness	0	0	256	256

TABLE 11
12-Bit Assignments
	Computer	Production	Broadcast
	RGB	CYM	RGB	CYM	RGB	CYM
Peak Brightness	4095	4095	4076	4076	3839	3839
Minimum Brightness	0	0	16	16	256	256

TABLE 12
10-Bit Assignments
	Computer	Production	Broadcast
	RGB	CYM	RGB	CYM	RGB	CYM
Peak Brightness	1023	1023	1019	1019	940	940
Minimum Brightness	0	0	4	4	64	64

TABLE 13
8-Bit Assignments
	Computer	Production	Broadcast
	RGB	CYM	RGB	CYM	RGB	CYM
Peak Brightness	255	255	254	254	235	235
Minimum Brightness	0	0	1	1	16	16

The decode adds a pixel delay to the RGB data to realign the channels to a common pixel timing. EOTF is applied and the output is sent to the next device in the system. Metadata based on the standardized transport format is used to identify the format and image resolution so that the unpacking from the transport can be synchronized. FIG. 39 shows one embodiment of a decoding with a pixel delay.

In one embodiment, the decoding is 4:4:4 decoding. With this method, the six-primary color decoder is in the signal path, where 11-bit values for RGB are arranged above bit level 2048, while CYM levels are arranged below bit level 2047 as 11-bit. If the same data set is sent to a display and/or process that is not operable for six-primary color processing, the image data is assumed as black at bit level 0 as a full 12-bit word. Decoding begins by tapping image data prior to the unstacking process.

Six-Primary Color Encode Using a 4:2:2 Sampling Method

In one embodiment, the packing/stacking process is for a six-primary color system using a 4:2:2 sampling method. In order to fit the new six-primary color system into a lower bandwidth serial system, while maintaining backwards compatibility, the standard method of converting from RGBCYM to a luminance and a set of color difference signals requires the addition of at least one new image designator. In one embodiment, the encoding and/or decoding process is compatible with transport through SMPTE ST 292-0 (2011), SMPTE ST 292-1 (2011, 2012, and/or 2018), SMPTE ST 292-2 (2011), SMPTE ST 2022-1 (2007), SMPTE ST 2022-2 (2007), SMPTE ST 2022-3 (2010), SMPTE ST 2022-4 (2011), SMPTE ST 2022-5 (2012 and/or 2013), SMPTE ST 2022-6 (2012), SMPTE ST 2022-7 (2013), and/or and CTA 861-G (2106), each of which is incorporated herein by reference in its entirety.

In order for the system to package all of the image while supporting both six-primary and legacy displays, an electronic luminance component (Y) must be derived. The first component is: E′_Y6. It can be described as:E′_Y6=0.1063E′_Red+0.23195E′_Yellow+0.3576E′_Green+0.19685E′_Cyan+0.0361E′_Blue+0.0712E′_Magenta

Critical to getting back to legacy display compatibility, value E′_−Y is described as:E′_−Y=E′_Y6−(E′_Cyan+E′_Yellow′E′_Magenta)

In addition, at least two new color components are disclosed. These are designated as Cc and Cy components. The at least two new color components include a method to compensate for luminance and enable the system to function with older Y Cb Cr infrastructures. In one embodiment, adjustments are made to Cb and Cr in a Y Cb Cr infrastructure since the related level of luminance is operable for division over more components. These new components are as follows:

$E_{\mathrm{CR}}^{\prime }=\frac{\left(E_R^{\prime }-E_{Y_6}^{\prime }\right)}{1.7874},E_{\mathrm{CB}}^{\prime }=\frac{\left(E_B^{\prime }-E_{Y_6}^{\prime }\right)}{1.9278},E_{\mathrm{CC}}^{\prime }=\frac{\left(E_C^{\prime }-E_{Y_6}^{\prime }\right)}{1.6063},E_{\mathrm{CY}}^{\prime }=\frac{\left(E_Y^{\prime }-E_{Y_6}^{\prime }\right)}{1.5361}$

Within such a system, it is not possible to define magenta as a wavelength. This is because the green vector in CIE 1976 passes into, and beyond, the CIE designated purple line. Magenta is a sum of blue and red. Thus, in one embodiment, magenta is resolved as a calculation, not as optical data. In one embodiment, both the camera side and the monitor side of the system use magenta filters. In this case, if magenta were defined as a wavelength, it would not land at the point described. Instead, magenta would appear as a very deep blue which would include a narrow bandwidth primary, resulting in metameric issues from using narrow spectral components. In one embodiment, magenta as an integer value is resolved using the following equation:

$M_{\mathrm{INT}}=\left[\frac{\frac{B_{\mathrm{INT}}}{2}+\frac{R_{\mathrm{INT}}}{2}}{2}\right]$

The above equation assists in maintaining the fidelity of a magenta value while minimizing any metameric errors. This is advantageous over prior art, where magenta appears instead as a deep blue instead of the intended primary color value.

Six-Primary Non-Constant Luminance Encode Using a 4:2:2 Sampling Method

In one embodiment, the six-primary color system using a non-constant luminance encode for use with a 4:2:2 sampling method. In one embodiment, the encoding process and/or decoding process is compatible with transport through SMPTE ST 292-0 (2011), SMPTE ST 292-1 (2011, 2012, and/or 2018), SMPTE ST 292-2 (2011), SMPTE ST 2022-1 (2007), SMPTE ST 2022-2 (2007), SMPTE ST 2022-3 (2010), SMPTE ST 2022-4 (2011), SMPTE ST 2022-5 (2012 and/or 2013), SMPTE ST 2022-6 (2012), SMPTE ST 2022-7 (2013), and/or and CTA 861-G (2106), each of which is incorporated herein by reference in its entirety.

Current practices use a non-constant luminance path design, which is found in all the video systems currently deployed. FIG. 40 illustrates one embodiment of an encode process for 4:2:2 video for packaging five channels of information into the standard three-channel designs. For 4:2:2, a similar method to the 4:4:4 system is used to package five channels of information into the standard three-channel designs used in current serial video standards. FIG. 40 illustrates 12-bit SDI and 10-bit SDI encoding for a 4:2:2 system. TABLE 14 and TABLE 15 list bit assignments for a 12-bit and 10-bit system, respectively. In one embodiment, “Computer” refers to bit assignments compatible with CTA 861-G, November 2016, which is incorporated herein by reference in its entirety. In one embodiment, “Production” and/or “Broadcast” refer to bit assignments compatible with SMPTE ST 2082-0 (2016), SMPTE ST 2082-1 (2015), SMPTE ST 2082-10 (2015), SMPTE ST 2082-11 (2016), SMPTE ST 2082-12 (2016), SMPTE ST 2110-10 (2017), SMPTE ST 2110-20 (2017), SMPTE ST 2110-21 (2017), SMPTE ST 2110-30 (2017), SMPTE ST 2110-31 (2018), and/or SMPTE ST 2110-40 (2018), each of which is incorporated herein by reference in its entirety.

TABLE 14
12-Bit Assignments
	Computer	Production	Broadcast
	EY6	ECR, ECB	ECC, ECY	EY6	ECR, ECB	ECC, ECY	EY6	ECR, ECB	ECC, ECY
Peak	4095	4095	0	4076	4076	16	3839	3839	256
Brightness
Minimum	0	2048	2047	16	2052	2032	256	2304	1792
Brightness

TABLE 15
10-Bit Assignments
	Computer	Production	Broadcast
	EY6	ECR, ECB	ECC, ECY	EY6	ECR, ECB	ECC, ECY	EY6	ECR, ECB	ECC, ECY
Peak	1023	1023	0	1019	1019	4	940	940	64
Brightness
Minimum	0	512	511	4	516	508	64	576	448
Brightness

FIG. 41 illustrates one embodiment for a non-constant luminance encoding process for a six-primary color system. The design of this process is similar to the designs used in current RGB systems. Input video is sent to the Optical Electronic Transfer Function (OETF) process and then to the E_Y6 encoder. The output of this encoder includes all of the image detail information. In one embodiment, all of the image detail information is output as a monochrome image.

The output is then subtracted from E′_R, E′_B, E′_C, and E′_Y to make the following color difference components:E′_CR,E′_CB,E′_CC,E′_CY These components are then half sampled (x2) while E′_Y6 is fully sampled (x4).

FIG. 42 illustrates one embodiment of a packaging process for a six-primary color system. These components are then sent to the packing/stacking process. Components E′_CY-INT and E′_CC-INT are inverted so that bit 0 now defines peak luminance for the corresponding component. In one embodiment, this is the same packaging process performed with the 4:4:4 sampling method design, resulting in two 11-bit components combining into one 12-bit component.

Six-Primary Non-Constant Luminance Decode Using a 4:2:2 Sampling Method

FIG. 43 illustrates a 4:2:2 unstack process for a six-primary color system. In one embodiment, the image data is extracted from the serial format through the normal processes as defined by the serial data format standard. In another embodiment, the serial data format standard uses a 4:2:2 sampling structure. In yet another embodiment, the serial data format standard is SMPTE ST292. The color difference components are separated and formatted back to valid 11-bit data. Components E′_CY-INT and E′_CC-INT are inverted so that bit level 2047 defines peak color luminance.

FIG. 44 illustrates one embodiment of a process to inversely quantize each individual color and pass the data through an electronic optical function transfer (EOTF) in a non-constant luminance system. The individual color components, as well as E′_Y6-INT, are inversely quantized and summed to breakout each individual color. Magenta is then calculated and E′_Y6-INT is combined with these colors to resolve green. These calculations then go back through an Electronic Optical Transfer Function (EOTF) process to output the six-primary color system.

In one embodiment, the decoding is 4:2:2 decoding. This decode follows the same principles as the 4:4:4 decoder. However, in 4:2:2 decoding, a luminance channel is used instead of discrete color channels. Here, image data is still taken prior to unstack from the E′_CB-INT+E′_CY-INT and E′_CR-INT+E′_CC-INT channels. With a 4:2:2 decoder, a new component, called E′_−Y, is used to subtract the luminance levels that are present from the CYM channels from the E′_CB-INT+E′_CY-INT and E′_CR-INT+E′_CC-INT components. The resulting output is now the R and B image components of the EOTF process. E′_−Y is also sent to the G matrix to convert the luminance and color difference components to a green output. Thus, R′G′B′ is input to the EOTF process and output as G_RGB, R_RGB, and B_RGB. In another embodiment, the decoder is a legacy RGB decoder for non-constant luminance systems.

In one embodiment, the standard is SMPTE ST292. In one embodiment, the standard is SMPTE RP431-2. In one embodiment, the standard is ITU-R BT.2020. In another embodiment, the standard is SMPTE RP431-1. In another embodiment, the standard is ITU-R BT.1886. In another embodiment, the standard is SMPTE ST274. In another embodiment, the standard is SMPTE ST296. In another embodiment, the standard is SMPTE ST2084. In yet another embodiment, the standard is ITU-R BT.2100. In yet another embodiment, the standard is SMPTE ST424. In yet another embodiment, the standard is SMPTE ST425. In yet another embodiment, the standard is SMPTE ST2110.

Six-Primary Constant Luminance Decode Using a 4:2:2 Sampling Method

FIG. 45 illustrates one embodiment of a constant luminance encode for a six-primary color system. FIG. 46 illustrates one embodiment of a constant luminance decode for a six-primary color system. The process for constant luminance encode and decode are very similar. The main difference being that the management of E_Y6 is linear. The encode and decode processes stack into the standard serial data streams in the same way as is present in a non-constant luminance, six-primary color system. In one embodiment, the stacker design is the same as with the non-constant luminance system.

System 2 operation is using a sequential method of mapping to the standard transport instead of the method in System 1 where pixel data is combined to two color primaries in one data set as an 11-bit word. The advantage of System 1 is that there is no change to the standard transport. The advantage of System 2 is that full bit level video can be transported, but at double the normal data rate.

The difference between the systems is the use of two Y channels in System 2. Y_RGB and Y_CYM are used to define the luminance value for RGB as one group and CYM for the other.

FIG. 47 illustrates one example of 4:2:2 non-constant luminance encoding. Because the RGB and CYM components are mapped at different time intervals, there is no requirement for a stacking process and data is fed directly to the transport format. The development of the separate color difference components is identical to System 1.

The encoder for System 2 takes the formatted color components in the same way as System 1. Two matrices are used to build two luminance channels. Y_RGB contains the luminance value for the RGB color primaries. Y_CYM contains the luminance value for the CYM color primaries. A set of delays are used to sequence the proper channel for Y_RGB, Y_CMY, and the RBCY channels. Because the RGB and CYM components are mapped at different time intervals, there is no requirement for a stacking process, and data is fed directly to the transport format. The development of the separate color difference components is identical to System 1. The Encoder for System 2 takes the formatted color components in the same way as System 1. Two matrices are used to build two luminance channels: Y_RGB contains the luminance value for the RGB color primaries and Y_CMY contains the luminance value for the CMY color primaries. This sequences Y_RGB, CR, and CC channels into the even segments of the standardized transport and Y_CMY, CB, and CY into the odd numbered segments. Since there is no combining color primary channels, full bit levels can be used limited only by the design of the standardized transport method. In addition, for use in matrix driven displays, there is no change to the input processing and only the method of outputting the correct color is required if the filtering or emissive subpixel is also placed sequentially.

Timing for the sequence is calculated by the source format descriptor which then flags the start of video and sets the pixel timing.

FIG. 48 illustrates one embodiment of a non-constant luminance decoding system. Decoding uses timing synchronization from the format descriptor and start of video flags that are included in the payload ID, SDP, or EDID tables. This starts the pixel clock for each horizontal line of identify which set of components are routed to the proper part of the decoder. A pixel delay is used to realign the color primarily data of each subpixel. Y_RGB and Y_CMY are combined to assemble a new Y₆ component which is used to decode the CR, CB, CC, CY, and CM components into RGBCYM.

The constant luminance system is not different from the non-constant luminance system in regard to operation. The difference is that the luminance calculation is done as a linear function instead of including the OOTF. FIG. 49 illustrates one embodiment of a 4:2:2 constant luminance encoding system. FIG. 50 illustrates one embodiment of a 4:2:2 constant luminance decoding system.

Six-Primary Color System Using a 4:2:0 Sampling System

In one embodiment, the six-primary color system uses a 4:2:0 sampling system. The 4:2:0 format is widely used in H.262/MPEG-2, H.264/MPEG-4 Part 10 and VC-1 compression. The process defined in SMPTE RP2050-1 provides a direct method to convert from a 4:2:2 sample structure to a 4:2:0 structure. When a 4:2:0 video decoder and encoder are connected via a 4:2:2 serial interface, the 4:2:0 data is decoded and converted to 4:2:2 by up-sampling the color difference component. In the 4:2:0 video encoder, the 4:2:2 video data is converted to 4:2:0 video data by down-sampling the color difference component.

There typically exists a color difference mismatch between the 4:2:0 video data from the 4:2:0 video data to be encoded. Several stages of codec concatenation are common through the processing chain. As a result, color difference signal mismatch between 4:2:0 video data input to 4:2:0 video encoder and 4:2:0 video output from 4:2:0 video decoder is accumulated and the degradation becomes visible.

Filtering within a Six-Primary Color System Using a 4:2:0 Sampling Method

When a 4:2:0 video decoder and encoder are connected via a serial interface, 4:2:0 data is decoded and the data is converted to 4:2:2 by up-sampling the color difference component, and then the 4:2:2 video data is mapped onto a serial interface. In the 4:2:0 video encoder, the 4:2:2 video data from the serial interface is converted to 4:2:0 video data by down-sampling the color difference component. At least one set of filter coefficients exists for 4:2:0/4:2:2 up-sampling and 4:2:2/4:2:0 down-sampling. The at least one set of filter coefficients provide minimally degraded 4:2:0 color difference signals in concatenated operations.

Filter Coefficients in a Six-Primary Color System Using a 4:2:0 Sampling Method

FIG. 51 illustrates one embodiment of a raster encoding diagram of sample placements for a six-primary color 4:2:0 progressive scan system. Within this compression process, horizontal lines show the raster on a display matrix. Vertical lines depict drive columns. The intersection of these is a pixel calculation. Data around a particular pixel is used to calculate color and brightness of the subpixels. Each “X” shows placement timing of the E_Y6-INT sample. Red dots depict placement of the E′_CR-INT+E′_CC-INT sample. Blue triangles show placement of the E′_CB-INT+E′_CY-INT sample.

In one embodiment, the raster is an RGB raster. In another embodiment, the raster is a RGBCYM raster.

Six-Primary Color System Backwards Compatibility

By designing the color gamut within the saturation levels of standard formats and using inverse color primary positions, it is easy to resolve an RGB image with minimal processing. In one embodiment for six-primary encoding, image data is split across three color channels in a transport system. In one embodiment, the image data is read as six-primary data. In another embodiment, the image data is read as RGB data. By maintaining a standard white point, the axis of modulation for each channel is considered as values describing two colors (e.g., blue and yellow) for a six-primary system or as a single color (e.g., blue) for an RGB system. This is based on where black is referenced. In one embodiment of a six-primary color system, black is decoded at a mid-level value. In an RGB system, the same data stream is used, but black is referenced at bit zero, not a mid-level.

In one embodiment, the RGB values encoded in the 6P stream are based on ITU-R BT.709. In another embodiment, the RGB values encoded are based on SMPTE RP431. Advantageously, these two embodiments require almost no processing to recover values for legacy display.

Two decoding methods are proposed. The first is a preferred method that uses very limited processing, negating any issues with latency. The second is a more straightforward method using a set of matrices at the end of the signal path to conform the 6P image to RGB.

In one embodiment, the decoding is for a 4:4:4 system. In one embodiment, the assumption of black places the correct data with each channel. If the 6P decoder is in the signal path, 11-bit values for RGB are arranged above bit level 2048, while CYM level are arranged below bit level 2047 as 11-bit. However, if this same data set is sent to a display or process that is does not understand 6P processing, then that image data is assumed as black at 0 level as a full 12-bit word.

FIG. 52 illustrates one embodiment of the six-primary color unstack process in a 4:2:2 video system. Decoding starts by tapping image data prior to the unstacking process. The input to the 6P unstack will map as shown in FIG. 53. The output of the 6P decoder will map as shown in FIG. 54. This same data is sent uncorrected as the legacy RGB image data. The interpretation of the RGB decode will map as shown in FIG. 55.

Alternatively, the decoding is for a 4:2:2 system. This decode uses the same principles as the 4:4:4 decoder, but because a luminance channel is used instead of discrete color channels, the processing is modified. Legacy image data is still taken prior to unstack from the E′_CB-INT+E′_CY-INT and E′_CR-INT+E′_CC-INT channels as shown in FIG. 56.

FIG. 57 illustrates one embodiment of a non-constant luminance decoder with a legacy process. The dotted box marked (1) shows the process where a new component called E′_−Y is used to subtract the luminance levels that are present from the CYM channels from the E′_CB-INT+E′_CY-INT and E′_CR-INT+E′_CC-INT components as shown in box (2). The resulting output is now the R and B image components of the EOTF process. E′_−Y is also sent to the G matrix to convert the luminance and color difference components to a green output as shown in box (3). Thus, R′G′B′ is input to the EOTF process and output as G_RGB, R_RGB, and B_RGB. In another embodiment, the decoder is a legacy RGB decoder for non-constant luminance systems.

For a constant luminance system, the process is very similar with the exception that green is calculated as linear as shown in FIG. 58.

Six-Primary Color System Using a Matrix Output

In one embodiment, the six-primary color system outputs a legacy RGB image. This requires a matrix output to be built at the very end of the signal path. FIG. 59 illustrates one embodiment of a legacy RGB image output at the end of the signal path. The design logic of the C, M, and Y primaries is in that they are substantially equal in saturation and placed at substantially inverted hue angles compared to R, G, and B primaries, respectively. In one embodiment, substantially equal in saturation refers to a ±10% difference in saturation values for the C, M, and Y primaries in comparison to saturation values for the R, G, and B primaries, respectively. In addition, substantially equal in saturation covers additional percentage differences in saturation values falling within the ±10% difference range. For example, substantially equal in saturation further covers a ±7.5% difference in saturation values for the C, M, and Y primaries in comparison to the saturation values for the R, G, and B primaries, respectively; a ±5% difference in saturation values for the C, M, and Y primaries in comparison to the saturation values for the R, G, and B primaries, respectively; a ±2% difference in saturation values for the C, M, and Y primaries in comparison to the saturation values for the R, G, and B primaries, respectively; a ±1% difference in saturation values for the C, M, and Y primaries in comparison to the saturation values for the R, G, and B primaries, respectively; and/or a ±0.5% difference in saturation values for the C, M, and Y primaries in comparison to the saturation values for the R, G, and B primaries, respectively. In a preferred embodiment, the C, M, and Y primaries are equal in saturation to the R, G, and B primaries, respectively. For example, the cyan primary is equal in saturation to the red primary, the magenta primary is equal in saturation to the green primary, and the yellow primary is equal in saturation to the blue primary.

In an alternative embodiment, the saturation values of the C, M, and Y primaries are not required to be substantially equal to their corollary primary saturation value among the R, G, and B primaries, but are substantially equal in saturation to a primary other than their corollary R, G, or B primary value. For example, the C primary saturation value is not required to be substantially equal in saturation to the R primary saturation value, but rather is substantially equal in saturation to the G primary saturation value and/or the B primary saturation value. In one embodiment, two different color saturations are used, wherein the two different color saturations are based on standardized gamuts already in use.

In one embodiment, substantially inverted hue angles refers to a ±10% angle range from an inverted hue angle (e.g., 180 degrees). In addition, substantially inverted hue angles cover additional percentage differences within the ±10% angle range from an inverted hue angle. For example, substantially inverted hue angles further covers a ±7.5% angle range from an inverted hue angle, a ±5% angle range from an inverted hue angle, a ±2% angle range from an inverted hue angle, a ±1% angle range from an inverted hue angle, and/or a ±0.5% angle range from an inverted hue angle. In a preferred embodiment, the C, M, and Y primaries are placed at inverted hue angles (e.g., 180 degrees) compared to the R, G, and B primaries, respectively.

In one embodiment, the gamut is the ITU-R BT.709-6 gamut. In another embodiment, the gamut is the SMPTE RP431-2 gamut.

The unstack process includes output as six, 11-bit color channels that are separated and delivered to a decoder. To convert an image from a six-primary color system to an RGB image, at least two matrices are used. One matrix is a 3×3 matrix converting a six-primary color system image to XYZ values. A second matrix is a 3×3 matrix for converting from XYZ to the proper RGB color space. In one embodiment, XYZ values represent additive color space values, where XYZ matrices represent additive color space matrices. Additive color space refers to the concept of describing a color by stating the amounts of primaries that, when combined, create light of that color.

When a six-primary display is connected to the six-primary output, each channel will drive each color. When this same output is sent to an RGB display, the CYM channels are ignored and only the RGB channels are displayed. An element of operation is that both systems drive from the black area. At this point in the decoder, all are coded as bit level 0 being black and bit level 2047 being peak color luminance. This process can also be reversed in a situation where an RGB source can feed a six-primary display. The six-primary display would then have no information for the CYM channels and would display the input in a standard RGB gamut. FIG. 60 illustrates one embodiment of six-primary color output using a non-constant luminance decoder. FIG. 61 illustrates one embodiment of a legacy RGB process within a six-primary color system.

The design of this matrix is a modification of the CIE process to convert RGB to XYZ. First, u′v′ values are converted back to CIE 1931 xyz values using the following formulas:

$x=\frac{9u^{\prime }}{\left(6u^{\prime }-16v^{\prime }+12\right)}y=\frac{4v^{\prime }}{\left(6u^{\prime }-16v^{\prime }+12\right)}z=1-x-y$

Next, RGBCYM values are mapped to a matrix. The mapping is dependent upon the gamut standard being used. In one embodiment, the gamut is ITU-R BT.709-6. The mapping for RGBCYM values for an ITU-R BT.709-6 (6P-B) gamut are:

$\left[\left(\begin{array}{cccc}& x& y& z\\ R& 0.64& 0.33& 0.03\\ G& 0.3& 0.6& 0.1\\ B& 0.15& 0.06& 0.79\\ C& 0.439& 0.54& 0.021\\ Y& 0.165& 0.327& 0.509\\ M& 0.32& 0.126& 0.554\end{array}\right)\left(\begin{array}{c}R& G& B& C& Y& M\\ x& 0.640& 0.300& 0.150& 0.439& 0.165& 0.319\\ y& 0.330& 0.600& 0.060& 0.540& 0.327& 0.126\\ z& 0.030& 0.100& 0.790& 0.021& 0.509& 0.554\end{array}\right)\right]=\left(\begin{array}{ccc}0.519& 0.393& 0.140\\ 0.393& 0.460& 0.160\\ 0.140& 0.160& 0.650\end{array}\right)$

In one embodiment, the gamut is SMPTE RP431-2. The mapping for RGBCYM values for a SMPTE RP431-2 (6P-C) gamut are:

$\left(\begin{array}{cccc}& x& y& z\\ R& 0.68& 0.32& 0.\\ G& 0.264& 0.691& 0.045\\ B& 0.15& 0.06& 0.79\\ C& 0.45& 0.547& 0.026\\ Y& 0.163& 0.342& 0.496\\ M& 0.352& 0.142& 0.505\end{array}\right)\left(\begin{array}{c}R& G& B& C& Y& M\\ x& 0.680& 0.264& 0.150& 0.450& 0.163& 0.352\\ y& 0.320& 0.690& 0.060& 0.547& 0.342& 0.142\\ z& 0.000& 0.045& 0.790& 0.026& 0.496& 0.505\end{array}\right)]=\left(\begin{array}{ccc}0.565& 0.400& 0.121\\ 0.400& 0.549& 0.117\\ 0.121& 0.117& 0.650\end{array}\right)$

Following mapping the RGBCYM values to a matrix, a white point conversion occurs:

$X=\frac{x}{y}Y=1Z=1-x-y$

For a six-primary color system using an ITU-R BT.709-6 (6P-B) color gamut, the white point is D65:

$0.9504=\frac{0.3127}{0.3290}0.3584=1-0.3127-0.3290$

For a six-primary color system using a SMPTE RP431-2 (6P-C) color gamut, the white point is D60:

$0.9541=\frac{0.3218}{0.3372}0.3410=1-0.3218-0.3372$

Following the white point conversion, a calculation is required for RGB saturation values, S_R, S_G, and S_B. The results from the second operation are inverted and multiplied with the white point XYZ values. In one embodiment, the color gamut used is an ITU-R BT.709-6 color gamut. The values calculate as:

${\left[\begin{array}{c}{S}_R\\ S_G\\ S_B\end{array}\right]}^{\mathrm{ITU}-R\mathrm{BT}\text{.709}-6}=\left[\left(\begin{array}{ccc}5.445& -4.644& -0.0253\\ -4.644& 6.337& -0.563\\ -0.0253& -0.563& 1.682\end{array}\right)\left(\begin{array}{c}0.950\\ 1\\ 0.358\end{array}\right)\right]{\mathrm{Where}\left[\begin{array}{c}{S}_R\\ S_G\\ S_B\end{array}\right]}^{\mathrm{ITU}-R\mathrm{BT}\text{.709}-6}=\left[\begin{array}{c}0.522\\ 1.722\\ 0.015\end{array}\right]$

In one embodiment, the color gamut is a SMPTE RP431-2 color gamut. The values calculate as:

${\left[\begin{array}{c}{S}_R\\ S_G\\ S_B\end{array}\right]}^{\mathrm{SMPTE}\mathrm{RP}431-2}=\left[\left(\begin{array}{ccc}3.692& -2.649& -0.211\\ -2.649& 3.795& -0.189\\ -0.211& -0.189& 1.611\end{array}\right)\left(\begin{array}{c}0.954\\ 1\\ 0.341\end{array}\right)\right]{\mathrm{Where}\left[\begin{array}{c}{S}_R\\ S_G\\ S_B\end{array}\right]}^{\mathrm{SMPTE}\mathrm{RP}431-2}=\left[\begin{array}{c}0.802\\ 1.203\\ 0.159\end{array}\right]$

Next, a six-primary color-to-XYZ matrix must be calculated. For an embodiment where the color gamut is an ITU-R BT.709-6 color gamut, the calculation is as follows:

$\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]=\left[{\left(\begin{array}{ccc}0.519& 0.393& 0.140\\ 0.393& 0.460& 0.160\\ 0.140& 0.160& 0.650\end{array}\right)}^{\mathrm{ITU}-R\mathrm{BT}\text{.709}-6}{\left(\begin{array}{ccc}0.522& 1.722& 0.153\\ 0.522& 1.722& 0.153\\ 0.522& 1.722& 0.153\end{array}\right)}^{D65}\right]$ Wherein the resulting matrix is multiplied by the S_RS_GS_B matrix:

$\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]={\left[\begin{array}{ccc}0.271& 0.677& 0.002\\ 0.205& 0.792& 0.003\\ 0.073& 0.276& 0.010\end{array}\right]\left[\begin{array}{c}R\\ G\\ B\\ C\\ Y\\ M\end{array}\right]}^{\mathrm{ITU}-R\mathrm{BT}\text{.709}-6}$

For an embodiment where the color gamut is a SMPTE RP431-2 color gamut, the calculation is as follows:

$\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]=\left[{\left(\begin{array}{ccc}0.565& 0.401& 0.121\\ 0.401& 0.549& 0.117\\ 0.121& 0.117& 0.650\end{array}\right)}^{\mathrm{SMPTE}\mathrm{RP}431-2}{\left(\begin{array}{ccc}0.802& 1.203& 0.159\\ 0.802& 1.203& 0.159\\ 0.802& 1.203& 0.159\end{array}\right)}^{D60}\right]$ Wherein the resulting matrix is multiplied by the S_RS_GS_B matrix:

$\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]={\left[\begin{array}{ccc}0.453& 0.482& 0.019\\ 0.321& 0.660& 0.019\\ 0.097& 0.141& 0.103\end{array}\right]\left[\begin{array}{c}R\\ G\\ B\\ C\\ Y\\ M\end{array}\right]}^{\mathrm{SMPTE}\mathrm{RP}431-2}$

Finally, the XYZ matrix must converted to the correct standard color space. In an embodiment where the color gamut used is an ITU-R BT709.6 color gamut, the matrices are as follows:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}^{\mathrm{ITU}-R\mathrm{BT}709.6}=\left[\begin{array}{ccc}3.241& -1.537& -0.499\\ -0.969& 1.876& 0.042\\ 0.056& -0.204& 1.057\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]$

In an embodiment where the color gamut used is a SMPTE RP431-2 color gamut, the matrices are as follows:

${\left[\begin{array}{c}R\\ G\\ B\end{array}\right]}^{\mathrm{SMPTE}\mathrm{RP}431-2}=\left[\begin{array}{ccc}2.73& -1.018& -0.440\\ -0.795& 1.690& 0.023\\ 0.041& -0.088& 1.101\end{array}\right]\left[\begin{array}{c}X\\ Y\\ Z\end{array}\right]$

Packing a Six-Primary Color System into IC_TC_P

IC_TC_P (ITP) is a color representation format specified in the Rec. ITU-R BT.2100 standard that is used as a part of the color image pipeline in video and digital photography systems for high dynamic range (HDR) and wide color gamut (WCG) imagery. The I (intensity) component is a luma component that represents the brightness of the video. C_T and C_P are blue-yellow (“tritanopia”) and red-green (“protanopia”) chroma components. The format is derived from an associated RGB color space by a coordination transformation that includes two matrix transformations and an intermediate non-linear transfer function, known as a gamma pre-correction. The transformation produces three signals: I, C_T, and C_P. The ITP transformation can be used with RGB signals derived from either the perceptual quantizer (PQ) or hybrid log-gamma (HLG) nonlinearity functions. The PQ curve is described in ITU-R BT2100-2:2018, Table 4, which is incorporated herein by reference in its entirety.

FIG. 62 illustrates one embodiment of packing six-primary color system image data into an IC_TC_P (ITP) format. In one embodiment, RGB image data is converted to an XYZ matrix. The XYZ matrix is then converted to an LMS matrix. The LMS matrix is then sent to an optical electronic transfer function (OETF). The conversion process is represented below:

$\left[\begin{array}{c}L\\ M\\ S\end{array}\right]=\left[\left(\begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array}\right)\left(\begin{array}{ccc}0.359& 0.696& -0.036\\ -0.192& 1.100& 0.075\\ 0.007& 0.075& 0.843\end{array}\right)\right]\left[\begin{array}{c}R\\ G\\ B\end{array}\right]$ Output from the OETF is converted to ITP format. The resulting matrix is:

$\left(\begin{array}{ccc}0.5& 0.5& 0\\ 1.614& -3.323& 1.71\\ 4.378& -4.246& -0.135\end{array}\right)$

FIG. 63 illustrates one embodiment of a six-primary color system converting RGBCYM image data into XYZ image data for an ITP format (e.g., 6P-B, 6P-C). For a six-primary color system, this is modified by replacing the RGB to XYZ matrix with a process to convert RGBCYM to XYZ. This is the same method as described in the legacy RGB process. The new matrix is as follows for an ITU-R BT.709-6 (6P-B) color gamut:

$\left[\begin{array}{c}L\\ M\\ S\end{array}\right]=\left(\begin{array}{ccc}0.271& 0.677& 0.002\\ 0.205& 0.792& 0.003\\ 0.073& 0.277& 0.100\end{array}\right){\left(\begin{array}{ccc}0.359& 0.696& -0.036\\ -0.192& 1.100& 0.075\\ 0.007& 0.075& 0.843\end{array}\right)\left[\begin{array}{c}R\\ G\\ B\\ C\\ Y\\ M\end{array}\right]}^{\mathrm{ITU}-R\mathrm{BT}\text{.709}-6}$

RGBCYM data, based on an ITU-R BT.709-6 color gamut, is converted to an XYZ matrix. The resulting XYZ matrix is converted to an LMS matrix, which is sent to an OETF. Once processed by the OETF, the LMS matrix is converted to an ITP matrix. The resulting ITP matrix is as follows:

$\left(\begin{array}{ccc}0.5& 0.5& 0\\ 1.614& -3.323& 1.71\\ 4.378& -4.246& -0.135\end{array}\right)$

In another embodiment, the LMS matrix is sent to an Optical Optical Transfer Function (OOTF). In yet another embodiment, the LMS matrix is sent to a Transfer Function other than OOTF or OETF.

In another embodiment, the RGBCYM data is based on the SMPTE ST431-2 (6P-C) color gamut. The matrices for an embodiment using the SMPTE ST431-2 color gamut are as follows:

$\left[\begin{array}{c}L\\ M\\ S\end{array}\right]=\left(\begin{array}{ccc}0.453& 0.481& 0.019\\ 0.321& 0.660& 0.019\\ 0.097& 0.141& 0.103\end{array}\right){\left(\begin{array}{ccc}0.359& 0.696& -0.036\\ -0.192& 1.100& 0.075\\ 0.007& 0.075& 0.843\end{array}\right)\left[\begin{array}{c}R\\ G\\ B\\ C\\ Y\\ M\end{array}\right]}^{\mathrm{SMPTE}\mathrm{ST}431-2}$ The resulting ITP matrix is:

$\left(\begin{array}{ccc}0.5& 0.5& 0\\ 1.614& -3.323& 1.71\\ 4.378& -4.246& -0.135\end{array}\right)$

The decode process uses the standard ITP decode process, as the S_RS_GS_B cannot be easily inverted. This makes it difficult to recover the six RGBCYM components from the ITP encode. Therefore, the display is operable to use the standard ICtCp decode process as described in the standards and is limited to just RGB output.

Converting to a Five-Color Multi-Primary Display

In one embodiment, the system is operable to convert image data incorporating five primary colors. In one embodiment, the five primary colors include Red (R), Green (G), Blue (G), Cyan (C), and Yellow (Y), collectively referred to as RGBCY. In another embodiment, the five primary colors include Red (R), Green (G), Blue (B), Cyan (C), and Magenta (M), collectively referred to as RGBCM. In one embodiment, the five primary colors do not include Magenta (M).

In one embodiment, the five primary colors include Red (R), Green (G), Blue (B), Cyan (C), and Orange (O), collectively referred to as RGBCO. RGBCO primaries provide optimal spectral characteristics, transmittance characteristics, and makes use of a D65 white point. See, e.g., Moon-Cheol Kim et al., Wide Color Gamut Five Channel Multi-Primary for HDTV Application, Journal of Imaging Sci. & Tech. Vol. 49, No. 6, November/December 2005, at 594-604, which is hereby incorporated by reference in its entirety.

In one embodiment, a five-primary color model is expressed as F=M·C, where F is equal to a tristimulus color vector, F=(X, Y, Z)^T, and C is equal to a linear display control vector, C=(C1, C2, C3, C4, C5)^T. Thus, a conversion matrix for the five-primary color model is represented as

$M=\left(\begin{array}{ccccc}{X}_1& X_2& X_3& X_4& X_5\\ Y_1& Y_2& Y_3& Y_4& Y_5\\ Z_1& Z_2& Z_3& Z_4& Z_5\end{array}\right)$

Using the above equation and matrix, a gamut volume is calculated for a set of given control vectors on the gamut boundary. The control vectors are converted into CIELAB uniform color space. However, because matrix M is non-square, the matrix inversion requires splitting the color gamut into a specified number of pyramids, with the base of each pyramid representing an outer surface and where the control vectors are calculated using linear equation for each given XYZ triplet present within each pyramid. By separating regions into pyramids, the conversion process is normalized. In one embodiment, a decision tree is created in order to determine which set of primaries are best to define a specified color. In one embodiment, a specified color is defined by multiple sets of primaries. In order to locate each pyramid, 2D chromaticity look-up tables are used, with corresponding pyramid numbers for input chromaticity values in xy or u′v′. Typical methods using pyramids require 1000×1000 address ranges in order to properly search the boundaries of adjacent pyramids with look-up table memory. The system of the present invention uses a combination of parallel processing for adjacent pyramids and at least one algorithm for verifying solutions by checking constraint conditions. In one embodiment, the system uses a parallel computing algorithm. In one embodiment, the system uses a sequential algorithm. In another embodiment, the system uses a brightening image transformation algorithm. In another embodiment, the system uses a darkening image transformation algorithm. In another embodiment, the system uses an inverse sinusoidal contrast transformation algorithm. In another embodiment, the system uses a hyperbolic tangent contrast transformation algorithm. In yet another embodiment, the system uses a sine contrast transformation execution times algorithm. In yet another embodiment, the system uses a linear feature extraction algorithm. In yet another embodiment, the system uses a JPEG2000 encoding algorithm. In yet another embodiment, the system uses a parallelized arithmetic algorithm. In yet another embodiment, the system uses an algorithm other than those previously mentioned. In yet another embodiment, the system uses any combination of the aforementioned algorithms.

Mapping a Six-Primary Color System into Standardized Transport Formats

Each encode and/or decode system fits into existing video serial data streams that have already been established and standardized. This is key to industry acceptance. Encoder and/or decoder designs require little or no modification for a six-primary color system to map to these standard serial formats.

FIG. 64 illustrates one embodiment of a six-primary color system mapping to a SMPTE ST424 standard serial format. The SMPTE ST424/ST425 set of standards allow very high sampling systems to be passed through a single cable. This is done by using alternating data streams, each containing different components of the image. For use with a six-primary color system transport, image formats are limited to RGB due to the absence of a method to send a full bandwidth Y signal.

The process for mapping a six-primary color system to a SMPTE ST425 format is the same as mapping to a SMPTE ST424 format. To fit a six-primary color system into a SMPTE ST425/424 stream involves the following substitutions: G′_INT+M′_INT is placed in the Green data segments, R′_INT+C′_INT is placed in the Red data segments, and B′_INT+Y′_INT is placed into the Blue data segments. FIG. 65 illustrates one embodiment of an SMPTE 424 6P readout.

System 2 requires twice the data rate as System 1, so it is not compatible with SMPTE 424. However, it maps easily into SMPTE ST2082 using a similar mapping sequence. In one example, System 2 is used to have the same data speed defined for 8K imaging to show a 4K image.

In one embodiment, sub-image and data stream mapping occur as shown in SMPTE ST2082. An image is broken into four sub-images, and each sub-image is broken up into two data streams (e.g., sub-image 1 is broken up into data stream 1 and data stream 2). The data streams are put through a multiplexer and then sent to the interface as shown in FIG. 66.

FIG. 67 and FIG. 68 illustrate serial digital interfaces for a six-primary color system using the SMPTE ST2082 standard. In one embodiment, the six-primary color system data is RGBCYM data, which is mapped to the SMPTE ST2082 standard (FIG. 67). Data streams 1, 3, 5, and 7 follow the pattern shown for data stream 1. Data streams 2, 4, 6, and 8 follow the pattern shown for data stream 2. In one embodiment, the six-primary color system data is Y_RGB Y_CYM C_R C_B C_C C_Y data, which is mapped to the SMPTE ST2082 standard (FIG. 68). Data streams 1, 3, 5, and 7 follow the pattern shown for data stream 1. Data streams 2, 4, 6, and 8 follow the pattern shown for data stream 2.

In one embodiment, the standard serial format is SMPTE ST292. SMPTE ST292 is an older standard than ST424 and is a single wire format for 1.5 GB video, whereas ST424 is designed for up to 3 GB video. However, while ST292 can identify the payload ID of SMPTE ST352, it is constrained to only accepting an image identified by a hex value, 0 h. All other values are ignored. Due to the bandwidth and identifications limitations in ST292, a component video six-primary color system incorporates a full bit level luminance component. To fit a six-primary color system into a SMPTE ST292 stream involves the following substitutions: E′_Y6-INT is placed in the Y data segments, E′_Cb-INT+E′_Cy-INT is placed in the Cb data segments, and E′_Cr-INT+E′_Cc-INT is placed in the Cr data segments. In another embodiment, the standard serial format is SMPTE ST352.

SMPTE ST292 and ST424 Serial Digital Interface (SDI) formats include payload identification (ID) metadata to help the receiving device identify the proper image parameters. The tables for this need modification by adding at least one flag identifying that the image source is a six-primary color RGB image. Therefore, six-primary color system format additions need to be added. In one embodiment, the standard is the SMPTE ST352 standard.

FIG. 69 illustrates one embodiment of an SMPTE ST292 6P mapping. FIG. 70 illustrates one embodiment of an SMPTE ST292 6P readout.

FIG. 71 illustrates modifications to the SMPTE ST352 standards for a six-primary color system. Hex code “Bh” identifies a constant luminance source and flag “Fh” indicates the presence of a six-primary color system. In one embodiment, Fh is used in combination with at least one other identifier located in byte 3. In another embodiment, the Fh flag is set to 0 if the image data is formatted as System 1 and the Fh flag is set to 1 if the image data is formatted as System 2.

In another embodiment, the standard serial format is SMPTE ST2082. Where a six-primary color system requires more data, it may not always be compatible with SMPTE ST424. However, it maps easily into SMPTE ST2082 using the same mapping sequence. This usage would have the same data speed defined for 8K imaging in order to display a 4K image.

In another embodiment, the standard serial format is SMPTE ST2022. Mapping to ST2022 is similar to mapping to ST292 and ST242, but as an ETHERNET format. The output of the stacker is mapped to the media payload based on Real-time Transport Protocol (RTP) 3550, established by the Internet Engineering Task Force (IETF). RTP provides end-to-end network transport functions suitable for applications transmitting real-time data, including, but not limited to, audio, video, and/or simulation data, over multicast or unicast network services. The data transport is augmented by a control protocol (RTCP) to allow monitoring of the data delivery in a manner scalable to large multicast networks, and to provide control and identification functionality. There are no changes needed in the formatting or mapping of the bit packing described in SMPTE ST 2022-6: 2012 (HBRMT).

FIG. 72 illustrates one embodiment of a modification for a six-primary color system using the SMPTE ST2202 standard. For SMPTE ST2202-6:2012 (HBRMT), there are no changes needed in formatting or mapping of the bit packing. ST2022 relies on header information to correctly configure the media payload. Parameters for this are established within the payload header using the video source format fields including, but not limited to, MAP, FRAME, FRATE, and/or SAMPLE. MAP, FRAME, and FRATE remain as described in the standard. MAP is used to identify if the input is ST292 or ST425 (RGB or Y Cb Cr). SAMPLE is operable for modification to identify that the image is formatted as a six-primary color system image. In one embodiment, the image data is sent using flag “0 h” (unknown/unspecified).

In another embodiment, the standard is SMPTE ST2110. SMPTE ST2110 is a relatively new standard and defines moving video through an Internet system. The standard is based on development from the IETF and is described under RFC3550. Image data is described through “pgroup” construction. Each pgroup consists of an integer number of octets. In one embodiment, a sample definition is RGB or YCbCr and is described in metadata. In one embodiment, the metadata format uses a Session Description Protocol (SDP) format. Thus, pgroup construction is defined for 4:4:4, 4:2:2, and 4:2:0 sampling as 8-bit, 10-bit, 12-bit, and in some cases 16-bit and 16-bit floating point wording. In one embodiment, six-primary color image data is limited to a 10-bit depth. In another embodiment, six-primary color image data is limited to a 12-bit depth. Where more than one sample is used, it is described as a set. For example, 4:4:4 sampling for blue, as a non-linear RGB set, is described as C0′B, C1′B, C2′B, C3′B, and C4′B. The lowest number index being left most within the image. In another embodiment, the method of substitution is the same method used to map six-primary color content into the ST2110 standard.

In another embodiment, the standard is SMPTE ST2110. SMPTE ST2110-20 describes the construction for each pgroup. In one embodiment, six-primary color system content arrives for mapping as non-linear data for the SMPTE ST2110 standard. In another embodiment, six-primary color system content arrives for mapping as linear data for the SMPTE ST2110 standard.

FIG. 73 illustrates a table of 4:4:4 sampling for a six-primary color system for a 10-bit video system. For 4:4:4 10-bit video, 15 octets are used and cover 4 pixels.

FIG. 74 illustrates a table of 4:4:4 sampling for a six-primary color system for a 12-bit video system. For 4:4:4 12-bit video, 9 octets are used and cover 2 pixels before restarting the sequence.

Non-linear GRBMYC image data would arrive as: G′_INT+M′_INT, R′_INT+C′_INT, and B′_INT+Y′_INT. Component substitution would follow what has been described for SMPTE ST424, where G′_INT+M′_INT is placed in the Green data segments, R′_INT+C′_INT is placed in the Red data segments, and B′_INT+Y′_INT is placed in the Blue data segments. The sequence described in the standard is shown as R0′, G0′, B0′, R1′, G1′, B1′, etc.

FIG. 75 illustrates sequence substitutions for 10-bit and 12-bit video in 4:2:2 sampling systems in a Y Cb Cr Cc Cy color space. Components are delivered to a 4:2:2 pgroup including, but not limited to, E′_Y6-INT, E′_Cb-INT+E′_Cy-INT, and E′_Cr-INT+E′_Cc-INT. For 4:2:2 10-bit video, 5 octets are used and cover 2 pixels before restarting the sequence. For 4:2:2 12-bit video, 6 octets are used and cover 2 pixels before restarting the sequence. Component substitution follows what has been described for SMPTE ST292, where E′_Y6-INT is placed in the Y data segments, E′_Cb-INT+E′_Cy-INT is placed in the Cb data segments, and E′_Cr-INT+E′_Cc-INT is placed in the Cr data segments. The sequence described in the standard is shown as Cb0′, Y0′, Cr0′, Y1′, Cr1′, Y3′, Cb2′, Y4′, Cr2′, Y5′, etc. In another embodiment, the video data is represented at a bit level other than 10-bit or 12-bit. In another embodiment, the sampling system is a sampling system other than 4:2:2. In another embodiment, the standard is STMPE ST2110.

FIG. 76 illustrates sample placements of six-primary system components for a 4:2:2 sampling system image. This follows the substitutions illustrated in FIG. 75, using a 4:2:2 sampling system.

FIG. 77 illustrates sequence substitutions for 10-bit and 12-bit video in 4:2:0 sampling systems using a Y Cb Cr Cc Cy color space. Components are delivered to a pgroup including, but not limited to, E′_Y6-INT, E′_Cb-INT+E′_Cy-INT and E′_Cr-INT+E′_Cc-INT. For 4:2:0 10-bit video data, 15 octets are used and cover 8 pixels before restarting the sequence. For 4:2:0 12-bit video data, 9 octets are used and cover 4 pixels before restarting the sequence. Component substitution follows what is described in SMPTE ST292 where E′_Y6-INT is placed in the Y data segments, E′_Cb-INT+E′_Cy-INT is placed in the Cb data segments, and E′_Cr-INT+E′_Cc-INT is placed in the Cr data segments. The sequence described in the standard is shown as Y′00, Y′01, Y′, etc.

FIG. 78 illustrates sample placements of six-primary system components for a 4:2:0 sampling system image. This follows the substitutions illustrated in FIG. 77, using a 4:2:0 sampling system.

FIG. 79 illustrates modifications to SMPTE ST2110-20 for a 10-bit six-primary color system in 4:4:4 video. SMPTE ST2110-20 describes the construction of each “pgroup”. Normally, six-primary color system data and/or content would arrive for mapping as non-linear. However, with the present system there is no restriction on mapping data and/or content. For 4:4:4, 10-bit video, 15 octets are used and cover 4 pixels before restarting the sequence. Non-linear, six-primary color system image data would arrive as G′_INT, B′_INT, R′_INT, M′_INT, Y′_INT, and C′_INT. The sequence described in the standard is shown as R0′, G0′, B0′, R1′, G1′, B1′, etc.

FIG. 80 illustrates modifications to SMPTE ST2110-20 for a 12-bit six-primary color system in 4:4:4 video. For 4:4:4, 12-bit video, 9 octets are used and cover 2 pixels before restarting the sequence. Non-linear, six-primary color system image data would arrive as G′_INT, B′_INT, R′_INT, M′_INT, Y′_INT, and C′_INT. The sequence described in the standard is shown as R0′, G0′, B0′, R1′, G1′, B1′, etc.

FIG. 81 illustrates modifications to SMPTE ST2110-20 for a 10-bit six primary color system in 4:2:2 video. Components that are delivered to a SMPTE ST2110 pgroup include, but are not limited to, E′_Yrgb-INT, E′_Ycym-INT, E′_Cb-INT, E′_Cr-INT, E′_Cy-INT, and E′_Cc-INT. For 4:2:2, 10-bit video, 5 octets are used and cover 2 pixels before restarting the sequence. For 4:2:2:2, 12-bit video, 6 octets are used and cover 2 pixels before restarting the sequence. Component substitution follows what is described for SMPTE ST292, where E′_Yrgb-INT or E′_Ycym-INT are placed in the Y data segments, E′_Cr-INT or E′_Cc-INT are placed in the Cr data segments, and E′_Cb-INT or E′_Cy-INT are placed in the Cb data segments. The sequence described in the standard is shown as Cb′0, Y′0, Cr′0, Y′1, Cb′1, Y′2, Cr′1, Y′3, Cb′2, Y′4, Cr′2, etc.

FIG. 82 illustrates modifications to SMPTE ST2110-20 for a 12-bit six-primary color system in 4:2:0 video. Components that are delivered to a SMPTE ST2110 pgroup are the same as with the 4:2:2 method. For 4:2:0, 10-bit video, 15 octets are used and cover 8 pixels before restarting the sequence. For 4:2:0, 12-bit video, 9 octets are used and cover 4 pixels before restarting the sequence. Component substitution follows what is described for SMPTE ST292, where E′_Yrgb-INT or E′_Ycym-INT are placed in the Y data segments, E′_Cr-INT or E′_Cc-INT are placed in the Cr data segments, and E′_Cb-INT or E′_Cy-INT are placed in the Cb data segments. The sequence described in the standard is shown as Y′00, Y′01, Y′, etc.

Table 16 summarizes mapping to SMPTE ST2110 for 4:2:2:2:2 and 4:2:0:2:0 sampling for System 1 and Table 17 summaries mapping to SMPTE ST2110 for 4:4:4:4:4:4 sampling (linear and non-linear) for System 1.

TABLE 16
		Pgroup
Sampling	Bit Depth	Octets	Pixels	Y PbPr Sample Order	6P Sample Order
4:2:2:2:2	8	4	2	CB’, Y0’, CR’, Y1’
	10	5	2	CB’, Y0’, CR’, Y1’	CB’+ CY’, Y0’, CR’ + CC’, Y1’
	12	6	2	CB’, Y0’, CR’, Y1’	CB’+ CY’, Y0’, CR’ + CC’, Y1’
	16, 16f	8	2	C’B, Y’0, C’R, Y’1	CB’+ CY’, Y0’, CR’ + CC’, Y1’
4:2:0:2:0	8	6	4	Y’00, Y’01, Y’10, Y’11,
				CB’00, CR’00
	10	15	8	Y’00, Y’01, Y’10, Y’11,	Y’00, Y’01, Y’10, Y’11,CB’00 + Cy’00,
				CB’00, CR’00	CR’00 + CC’00
				Y’02, Y’03, Y’12, Y’13,	Y’02, Y’03, Y’l 2, Y’13, CB’01 + CY’01,
				CB’01, CR’01	CR’01 + CC’01
	12	9	4	Y’00, Y’01, Y’10, Y’11,	Y’00, Y’01, Y’10, Y’11, CB’00 + CR’00,
				CB’00, CR’00	CR’00 + CC’00

TABLE 17
	Bit	pgroup
Sampling	Depth	Octets	pixels	RGB Sample Order	6P Sample Order
4:4:4:4:4:4	8	3	1	R, G, B
Linear	10	15	4	R0, G0, B0, R1, G1, B1,	R + C0, G + M0, B + Y0,
				R2, G2, B2	R + C1, G + M1, B + Y1,
					R + C2, G + M2, B + Y2
	12	9	2	R0, G0, B0, R1, G1, B1	R + C0, G + M0, B + Y0,
					R + C1, G + M1, B + Y1
	16, 16f	6	1	R, G, B	R + C, G + M, B + Y
4:4:4:4:4:4	8	3	1	R’, G’, B’
Non-	10	15	4	R0’, G0’, B0’, R1’, G1’,	R’ + C’0, G’ + M’0,
				B1’, R2’, G2’, B2’	B’ + Y’0, R’ + C’1,
					G’ + M’1, B’ + Y’1,
					R’ + C’2, G’ + M’2, B’ + Y’2
Linear	12	9	2	R0’, G0’, B0’, R1’, G1’,	R’ + C’0, G’ + M’0,
				B1’	B’ + Y’0, R’ + C’1,
					G’ + M’1, B’ + Y’1
	16, 16f	6	1	R’, G’, B’	R’ + C’, G’ + M’, B’ + Y’

Table 18 summarizes mapping to SMPTE ST2110 for 4:2:2:2:2 sampling for System 2 and Table 19 summaries mapping to SMPTE ST2110 for 4:4:4:4:4:4 sampling (linear and non-linear) for System 2.

TABLE 18
	Bit	pgroup	Y PbPr Sample
Sampling	Depth	octets	pixels	Order	6P Sample Order
4:2:2:2:2	8	8	2	CB’, Y0’, CR’, Y1’	CB’, CY’, YRGB0’,CR’, CC’,
					YCMY0’ CB’, CY’, YRGB1’
	10	10	2	CB’, Y0’, CR’, Y1’	CB’, CY’, YRGB0’,CR’, CC’,
					YCMY0’ CB’, CY’, YRGB1’
	12	12	2	CB’, Y0’, CR’, Y1’	CB’, CY’, YRGB0’,CR’, CC’,
					YCMY0’ CB’, CY’, YRGB1’
	16, 16f	16	2	CB’, Y0’, CR’, Y1’	CB’, CY’, YRGB0’,CR’, CC’,
					YCMY0’ CB’, CY’, YRGB1’

TABLE 19
	Bit	pgroup
Sampling	Depth	octets	pixels	RGB Sample Order	6P Sample Order
4:4:4:4:4:4	8	3	1	R, G, B	R, C, G, M, B, Y
Linear	10	15	4	R0, G0, B0, R1, G1,	R0, C0, G0, M0, B0, Y0, R1, C1, G1, M1,
				B1, R2, G2, B2	B1,Y1, R2, C2, G2, M2, B2 + Y2
	12	9	2	R0, G0, B0, R1, G1,	R0, C0, G0, M0, B0,Y0,
				B1	R1, C1, G1, M1, B1, Y1
	16, 16f	6	1	R, G, B	R, C, G, M, B, Y
4:4:4:4:4:4	8	3	1	R’, G’, B’	R’, C’,G’, M’, B’, Y’
Non-Linear	10	15	4	R0’, G0’, B0’, R1’,	R0’, C0’, G0’, M0’, B0’, Y0’, R1, C1
				G1’, B1’, R2’	G1’, M1’, B1’, Y1’, R2’, C2’,
				G2’, B2’	G2’, M2’, B2’ + Y2’
	12	9	2	R0’, G0’, B0’, R1’,	R0’,C0’,G0’,M0’,B0’,Y0’,
				G1’, B2’	R1’, C1’, G1’, M1’, B1’, Y1’
	16, 16f	6	1	R’, G’, B’	R’, C’, G’, M’, B’, Y’

Session Description Protocol (SDP) Modification for a Six-Primary Color System

SDP is derived from IETF RFC 4566 which sets parameters including, but not limited to, bit depth and sampling parameters. In one embodiment, SDP parameters are contained within the RTP payload. In another embodiment, SDP parameters are contained within the media format and transport protocol. This payload information is transmitted as text. Therefore, modifications for the additional sampling identifiers requires the addition of new parameters for the sampling statement. SDP parameters include, but are not limited to, color channel data, image data, framerate data, a sampling standard, a flag indicator, an active picture size code, a timestamp, a clock frequency, a frame count, a scrambling indicator, and/or a video format indicator. For non-constant luminance imaging, the additional parameters include, but are not limited to, RGBCYM-4:4:4, YBRCY-4:2:2, and YBRCY-4:2:0. For constant luminance signals, the additional parameters include, but are not limited to, CLYBRCY-4:2:2 and CLYBRCY-4:2:0.

Additionally, differentiation is included with the colorimetry identifier in one embodiment. For example, 6PB1 defines 6P with a color gamut limited to ITU-R BT.709 formatted as System 1, 6PB2 defines 6P with a color gamut limited to ITU-R BT.709 formatted as System 2, 6PB3 defines 6P with a color gamut limited to ITU-R BT.709 formatted as System 3, 6PC1 defines 6P with a color gamut limited to SMPTE RP 431-2 formatted as System 1, 6PC2 defines 6P with a color gamut limited to SMPTE RP 431-2 formatted as System 2, 6PC3 defines 6P with a color gamut limited to SMPTE RP 431-2 formatted as System 3, 6PS1 defines 6P with a color gamut as Super 6P formatted as System 1, 6PS2 defines 6P with a color gamut as Super 6P formatted as System 2, and 6PS3 defines 6P with a color gamut as Super 6P formatted as System 3.

Colorimetry can also be defined between a six-primary color system using the ITU-R BT.709-6 standard and the SMPTE ST431-2 standard, or colorimetry can be left defined as is standard for the desired standard. For example, the SDP parameters for a 1920×1080 six-primary color system using the ITU-R BT.709-6 standard with a 10-bit signal as System 1 are as follows: m=video 30000 RTP/AVP 112, a=rtpmap:112 raw/90000, a=fmtp:112, sampling=YBRCY-4:2:2, width=1920, height=1080, exactframerate=30000/1001, depth=10, TCS=SDR, colorimetry=6PB1, PM=2110GPM, SSN=ST2110-20:2017.

In one embodiment, the six-primary color system is integrated with a Consumer Technology Association (CTA) 861-based system. CTA-861 establishes protocols, requirements, and recommendations for the utilization of uncompressed digital interfaces by consumer electronics devices including, but not limited to, digital televisions (DTVs), digital cable, satellite or terrestrial set-top boxes (STBs), and related peripheral devices including, but not limited to, DVD players and/or recorders, and other related Sources or Sinks.

These systems are provided as parallel systems so that video content is parsed across several line pairs. This enables each video component to have its own transition-minimized differential signaling (TMDS) path. TMDS is a technology for transmitting high-speed serial data and is used by the Digital Visual Interface (DVI) and High-Definition Multimedia Interface (HDMI) video interfaces, as well as other digital communication interfaces. TMDS is similar to low-voltage differential signaling (LVDS) in that it uses differential signaling to reduce electromagnetic interference (EMI), enabling faster signal transfers with increased accuracy. In addition, TMDS uses a twisted pair for noise reduction, rather than a coaxial cable that is conventional for carrying video signals. Similar to LVDS, data is transmitted serially over the data link. When transmitting video data, and using HDMI, three TMDS twisted pairs are used to transfer video data.

In such a system, each pixel packet is limited to 8 bits only. For bit depths higher than 8 bits, fragmented packs are used. This arrangement is no different than is already described in the current CTA-861 standard.

Based on CTA extension Version 3, identification of a six-primary color transmission would be performed by the sink device (e.g., the monitor). Adding recognition of the additional formats would be flagged in the CTA Data Block Extended Tag Codes (byte 3). Since codes 33 and above are reserved, any two bits could be used to identify that the format is RGB, RGBCYM, Y Cb Cr, or Y Cb Cr Cc Cy and/or identify System 1 or System 2. Should byte 3 define a six-primary sampling format, and where the block 5 extension identifies byte 1 as ITU-R BT.709, then logic assigns as 6P-B. However, should byte 4 bit 7 identify colorimetry as DCI-P3, the color gamut would be assigned as 6P-C.

In one embodiment, the system alters the AVI Infoframe Data to identify content. AVI Infoframe Data is shown in Table 10 of CTA 861-G. In one embodiment, Y2=1, Y1=0, and Y0=0 identifies content as 6P 4:2:0:2:0. In another embodiment, Y2=1, Y1=0, and Y0=1 identifies content as Y Cr Cb Cc Cy. In yet another embodiment, Y2=1, Y1=1, and Y0=0 identifies content as RGBCMY.

Byte 2 C1=1, C0=1 identifies extended colorimetry in Table 11 of CTA 861-G. Byte 3 EC2, EC1, EC0 identifies additional colorimetry extension valid in Table 13 of CTA 861-G. Table 14 of CTA 861-G reserves additional extensions. In one embodiment, ACE3=1, ACE2=0, ACE1=0, and ACE0=X identifies 6P-B. In one embodiment, ACE3=0, ACE2=1, ACE1=0, and ACE0=X identifies 6P-C. In one embodiment, ACE3=0, ACE2=0, ACE1=1, and ACE0=X identifies System 1. In one embodiment, ACE3=1, ACE2=1, ACE1=0, and ACE0=X identifies System 2.

FIG. 83 illustrates the current RGB sampling structure for 4:4:4 sampling video data transmission. For HDMI 4:4:4 sampling, video data is sent through three TMDS line pairs. FIG. 84 illustrates a six-primary color sampling structure, RGBCYM, using System 1 for 4:4:4 sampling video data transmission. In one embodiment, the six-primary color sampling structure complies with CTA 861-G, November 2016, Consumer Technology Association, which is incorporated herein by reference in its entirety. FIG. 85 illustrates an example of System 2 to RGBCYM 4:4:4 transmission. FIG. 86 illustrates current Y Cb Cr 4:2:2 sampling transmission as non-constant luminance. FIG. 87 illustrates a six-primary color system (System 1) using Y Cr Cb Cc Cy 4:2:2 sampling transmission as non-constant luminance. FIG. 88 illustrates an example of a System 2 to Y Cr Cb Cc Cy 4:2:2 Transmission as non-constant luminance. In one embodiment, the Y Cr Cb Cc Cy 4:2:2 sampling transmission complies with CTA 861-G, November 2016, Consumer Technology Association. FIG. 89 illustrates current Y Cb Cr 4:2:0 sampling transmission. FIG. 90 illustrates a six-primary color system (System 1) using Y Cr Cb Cc Cy 4:2:0 sampling transmission.

HDMI sampling systems include Extended Display Identification Data (EDID) metadata. EDID metadata describes the capabilities of a display device to a video source. The data format is defined by a standard published by the Video Electronics Standards Association (VESA). The EDID data structure includes, but is not limited to, manufacturer name and serial number, product type, phosphor or filter type, timings supported by the display, display size, luminance data, and/or pixel mapping data. The EDID data structure is modifiable and modification requires no additional hardware and/or tools.

EDID information is transmitted between the source device and the display through a display data channel (DDC), which is a collection of digital communication protocols created by VESA. With EDID providing the display information and DDC providing the link between the display and the source, the two accompanying standards enable an information exchange between the display and source.

In addition, VESA has assigned extensions for EDID. Such extensions include, but are not limited to, timing extensions (00), additional time data black (CEA EDID Timing Extension (02)), video timing block extensions (VTB-EXT (10)), EDID 2.0 extension (20), display information extension (DI-EXT (40)), localized string extension (LS-EXT (50)), microdisplay interface extension (MI-EXT (60)), display ID extension (70), display transfer characteristics data block (DTCDB (A7, AF, BF)), block map (FO), display device data block (DDDB (FF)), and/or extension defined by monitor manufacturer (FF).

In one embodiment, SDP parameters include data corresponding to a payload identification (ID) and/or EDID information.

Multi-Primary Color System Display

FIG. 91 illustrates a dual stack LCD projection system for a six-primary color system. In one embodiment, the display is comprised of a dual stack of projectors. This display uses two projectors stacked on top of one another or placed side by side. Each projector is similar, with the only difference being the color filters in each unit. Refresh and pixel timings are synchronized, enabling a mechanical alignment between the two units so that each pixel overlays the same position between projector units. In one embodiment, the two projectors are Liquid-Crystal Display (LCD) projectors. In another embodiment, the two projectors are Digital Light Processing (DLP) projectors. In yet another embodiment, the two projectors are Liquid-Crystal on Silicon (LCOS) projectors. In yet another embodiment, the two projectors are Light-Emitting Diode (LED) projectors.

In one embodiment, the display is comprised of a single projector. A single projector six-primary color system requires the addition of a second cross block assembly for the additional colors. One embodiment of a single projector (e.g., single LCD projector) is shown in FIG. 92. A single projector six-primary color system includes a cyan dichroic mirror, an orange dichroic mirror, a blue dichroic mirror, a red dichroic mirror, and two additional standard mirrors. In one embodiment, the single projector six-primary color system includes at least six mirrors. In another embodiment, the single projector six-primary color system includes at least two cross block assembly units.

FIG. 93 illustrates a six-primary color system using a single projector and reciprocal mirrors. In one embodiment, the display is comprised of a single projector unit working in combination with at first set of at least six reciprocal mirrors, a second set of at least six reciprocal mirrors, and at least six LCD units. Light from at least one light source emits towards the first set of at least six reciprocal mirrors. The first set of at least six reciprocal mirrors reflects light towards at least one of the at least six LCD units. The at least six LCD units include, but are not limited to, a Green LCD, a Yellow LCD, a Cyan, LCD, a Red LCD, a Magenta LCD, and/or a Blue LCD. Output from each of the at least six LCDs is received by the second set of at least six reciprocal mirrors. Output from the second set of at least six reciprocal mirrors is sent to the single projector unit. Image data output by the single projector unit is output as a six-primary color system. In another embodiment, there are more than two sets of reciprocal mirrors. In another embodiment, more than one projector is used.

In another embodiment, the display is comprised of a dual stack Digital Micromirror Device (DMD) projector system. FIG. 94 illustrates one embodiment of a dual stack DMD projector system. In this system, two projectors are stacked on top of one another. In one embodiment, the dual stack DMD projector system uses a spinning wheel filter. In another embodiment, the dual stack DMD projector system uses phosphor technology. In one embodiment, the filter systems are illuminated by a xenon lamp. In another embodiment, the filter system uses a blue laser illuminator system. Filter systems in one projector are RGB, while the second projector uses a CYM filter set. The wheels for each projector unit are synchronized using at least one of an input video sync or a projector to projector sync, and timed so that the inverted colors are output of each projector at the same time.

In one embodiment, the projectors are phosphor wheel systems. A yellow phosphor wheel spins in time with a DMD imager to output sequential RG. The second projector is designed the same, but uses a cyan phosphor wheel. The output from this projector becomes sequential BG. Combined, the output of both projectors is YRGGCB. Magenta is developed by synchronizing the yellow and cyan wheels to overlap the flashing DMD.

In another embodiment, the display is a single DMD projector solution. A single DMD device is coupled with an RGB diode light source system. In one embodiment, the DMD projector uses LED diodes. In one embodiment, the DMD projector includes CYM diodes. In another embodiment, the DMD projector creates CYM primaries using a double flashing technique. FIG. 95 illustrates one embodiment of a single DMD projector solution.

FIG. 96 illustrates one embodiment of a six-primary color system using a white OLED display. In yet another embodiment, the display is a white OLED monitor. Current emissive monitor and/or television designs use a white emissive OLED array covered by a color filter. Changes to this type of display only require a change to pixel indexing and new six color primary filters. Different color filter arrays are used, placing each subpixel in a position that provides the least light restrictions, color accuracy, and off axis display.

FIG. 97 illustrates one embodiment of an optical filter array for a white OLED display.

FIG. 98 illustrates one embodiment of a matrix of an LCD drive for a six-primary color system with a backlight illuminated LCD monitor. In yet another embodiment, the display is a backlight illuminated LCD display. The design of an LCD display involves adding the CYM subpixels. Drives for these subpixels are similar to the RGB matrix drives. With the advent of 8K LCD televisions, it is technically feasible to change the matrix drive and optical filter and have a 4K six-primary color TV.

FIG. 99 illustrates one embodiment of an optical filter array for a six-primary color system with a backlight illuminated LCD monitor. The optical filter array includes the additional CYM subpixels.

In yet another embodiment, the display is a direct emissive assembled display. The design for a direct emissive assembled display includes a matrix of color emitters grouped as a six-color system. Individual channel inputs drive each Quantum Dot (QD) element illuminator and/or micro LED element.

FIG. 100 illustrates an array for a Quantum Dot (QD) display device.

FIG. 101 illustrates one embodiment of an array for a six-primary color system for use with a direct emissive assembled display.

FIG. 102 illustrates one embodiment of a six-primary color system in an emissive display that does not incorporate color filtered subpixels. For LCD and WOLED displays, this can be modified for a six-primary color system by expanding the RGB or WRGB filter arrangement to an RGBCYM matrix. For WRGB systems, the white subpixel could be removed as the luminance of the three additional primaries will replace it. SDI video is input through an SDI decoder. In one embodiment, the SDI decoder outputs to a Y CrCbCcCy-RGBCYM converter. The converter outputs RGBCYM data, with the luminance component (Y) subtracted. RGBCYM data is then converted to RGB data. This RGB data is sent to a scale sync generation component, receives adjustments to image controls, contrast, brightness, chroma, and saturation, is sent to a color correction component, and output to the display panel as LVDS data. In another embodiment the SDI decoder outputs to an SDI Y-R switch component. The SDI Y-R switch component outputs RGBCYM data. The RGBCYM data is sent to a scale sync generation component, receives adjustments to image controls, contrast, brightness, chroma, and saturation, is sent to a color correction component, and output to a display panel as LVDS data.

FIG. 107 is a schematic diagram of an embodiment of the invention illustrating a computer system, generally described as 800, having a network 810, a plurality of computing devices 820, 830, 840, a server 850, and a database 870.

The server 850 is constructed, configured, and coupled to enable communication over a network 810 with a plurality of computing devices 820, 830, 840. The server 850 includes a processing unit 851 with an operating system 852. The operating system 852 enables the server 850 to communicate through network 810 with the remote, distributed user devices. Database 870 may house an operating system 872, memory 874, and programs 876.

In one embodiment of the invention, the system 800 includes a network 810 for distributed communication via a wireless communication antenna 812 and processing by at least one mobile communication computing device 830. Alternatively, wireless and wired communication and connectivity between devices and components described herein include wireless network communication such as WI-FI, WORLDWIDE INTEROPERABILITY FOR MICROWAVE ACCESS (WIMAX), Radio Frequency (RF) communication including RF identification (RFID), NEAR FIELD COMMUNICATION (NFC), BLUETOOTH including BLUETOOTH LOW ENERGY (BLE), ZIGBEE, Infrared (IR) communication, cellular communication, satellite communication, Universal Serial Bus (USB), Ethernet communications, communication via fiber-optic cables, coaxial cables, twisted pair cables, and/or any other type of wireless or wired communication. In another embodiment of the invention, the system 800 is a virtualized computing system capable of executing any or all aspects of software and/or application components presented herein on the computing devices 820, 830, 840. In certain aspects, the computer system 800 may be implemented using hardware or a combination of software and hardware, either in a dedicated computing device, or integrated into another entity, or distributed across multiple entities or computing devices.

By way of example, and not limitation, the computing devices 820, 830, 840 are intended to represent various forms of electronic devices including at least a processor and a memory, such as a server, blade server, mainframe, mobile phone, personal digital assistant (PDA), smartphone, desktop computer, notebook computer, tablet computer, workstation, laptop, and other similar computing devices. The components shown here, their connections and relationships, and their functions, are meant to be exemplary only, and are not meant to limit implementations of the invention described and/or claimed in the present application.

In one embodiment, the computing device 820 includes components such as a processor 860, a system memory 862 having a random access memory (RAM) 864 and a read-only memory (ROM) 866, and a system bus 868 that couples the memory 862 to the processor 860. In another embodiment, the computing device 830 may additionally include components such as a storage device 890 for storing the operating system 892 and one or more application programs 894, a network interface unit 896, and/or an input/output controller 898. Each of the components may be coupled to each other through at least one bus 868. The input/output controller 898 may receive and process input from, or provide output to, a number of other devices 899, including, but not limited to, alphanumeric input devices, mice, electronic styluses, display units, touch screens, signal generation devices (e.g., speakers), or printers.

By way of example, and not limitation, the processor 860 may be a general-purpose microprocessor (e.g., a central processing unit (CPU)), a graphics processing unit (GPU), a microcontroller, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA), a Programmable Logic Device (PLD), a controller, a state machine, gated or transistor logic, discrete hardware components, or any other suitable entity or combinations thereof that can perform calculations, process instructions for execution, and/or other manipulations of information.

In another implementation, shown as 840 in FIG. 107 multiple processors 860 and/or multiple buses 868 may be used, as appropriate, along with multiple memories 862 of multiple types (e.g., a combination of a DSP and a microprocessor, a plurality of microprocessors, one or more microprocessors in conjunction with a DSP core).

Also, multiple computing devices may be connected, with each device providing portions of the necessary operations (e.g., a server bank, a group of blade servers, or a multi-processor system). Alternatively, some steps or methods may be performed by circuitry that is specific to a given function.

According to various embodiments, the computer system 800 may operate in a networked environment using logical connections to local and/or remote computing devices 820, 830, 840 through a network 810. A computing device 830 may connect to a network 810 through a network interface unit 896 connected to a bus 868. Computing devices may communicate communication media through wired networks, direct-wired connections or wirelessly, such as acoustic, RF, or infrared, through an antenna 897 in communication with the network antenna 812 and the network interface unit 896, which may include digital signal processing circuitry when necessary. The network interface unit 896 may provide for communications under various modes or protocols.

In one or more exemplary aspects, the instructions may be implemented in hardware, software, firmware, or any combinations thereof. A computer readable medium may provide volatile or non-volatile storage for one or more sets of instructions, such as operating systems, data structures, program modules, applications, or other data embodying any one or more of the methodologies or functions described herein. The computer readable medium may include the memory 862, the processor 860, and/or the storage media 890 and may be a single medium or multiple media (e.g., a centralized or distributed computer system) that store the one or more sets of instructions 900. Non-transitory computer readable media includes all computer readable media, with the sole exception being a transitory, propagating signal per se. The instructions 900 may further be transmitted or received over the network 810 via the network interface unit 896 as communication media, which may include a modulated data signal such as a carrier wave or other transport mechanism and includes any deliver media. The term “modulated data signal” means a signal that has one or more of its characteristics changed or set in a manner as to encode information in the signal.

Storage devices 890 and memory 862 include, but are not limited to, volatile and non-volatile media such as cache, RAM, ROM, EPROM, EEPROM, FLASH memory, or other solid state memory technology, discs (e.g., digital versatile discs (DVD), HD-DVD, BLU-RAY, compact disc (CD), or CD-ROM) or other optical storage; magnetic cassettes, magnetic tape, magnetic disk storage, floppy disks, or other magnetic storage devices; or any other medium that can be used to store the computer readable instructions and which can be accessed by the computer system 800.

In one embodiment, the computer system 800 is within a cloud-based network. In one embodiment, the server 850 is a designated physical server for distributed computing devices 820, 830, and 840. In one embodiment, the server 850 is a cloud-based server platform. In one embodiment, the cloud-based server platform hosts serverless functions for distributed computing devices 820, 830, and 840.

In another embodiment, the computer system 800 is within an edge computing network. The server 850 is an edge server, and the database 870 is an edge database. The edge server 850 and the edge database 870 are part of an edge computing platform. In one embodiment, the edge server 850 and the edge database 870 are designated to distributed computing devices 820, 830, and 840. In one embodiment, the edge server 850 and the edge database 870 are not designated for computing devices 820, 830, and 840. The distributed computing devices 820, 830, and 840 are connected to an edge server in the edge computing network based on proximity, availability, latency, bandwidth, and/or other factors.

It is also contemplated that the computer system 800 may not include all of the components shown in FIG. 107 may include other components that are not explicitly shown in FIG. 107 or may utilize an architecture completely different than that shown in FIG. 107. The various illustrative logical blocks, modules, elements, circuits, and algorithms described in connection with the embodiments discussed herein may be implemented as electronic hardware, computer software, or combinations of both. To clearly illustrate the interchangeability of hardware and software, various illustrative components, blocks, modules, circuits, and steps have been described above generally in terms of their functionality. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the overall system. Skilled artisans may implement the described functionality in varying ways for each particular application (e.g., arranged in a different order or positioned in a different way), but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.

The above-mentioned examples are provided to serve the purpose of clarifying the aspects of the invention, and it will be apparent to one skilled in the art that they do not serve to limit the scope of the invention. By nature, this invention is highly adjustable, customizable and adaptable. The above-mentioned examples are just some of the many configurations that the mentioned components can take on. All modifications and improvements have been deleted herein for the sake of conciseness and readability but are properly within the scope of the present invention.

Claims

1. A system for encoding and decoding an image signal, comprising: an encoder, wherein the encoder includes at least one encoder processor, at least one encoder memory, at least one encoder input, and at least one encoder output; anda decoder, wherein the decoder includes at least one decoder processor, at least one decoder memory, at least one decoder input, and at least one decoder output;wherein the encoder and the decoder are in communication;wherein the at least one encoder input is image data related to the image signal;wherein the encoder is operable to process the at least one encoder input, thereby creating the at least one encoder output;wherein the at least one encoder output is xyY data, wherein the xyY data corresponds to a set of values in an International Commission on Illumination (CIE) xyY color space, wherein the xyY data includes data related to two colorimetric coordinates (x and y) and a luminance (Y);wherein a ½ gamma function is applied to the luminance (Y) to create a luma (Y′),wherein the at least one encoder output is transmitted to the decoder, thereby creating the at least one decoder input; andwherein the decoder is operable to process the at least one decoder input, thereby creating the at least one decoder output.

2. The system of claim 1, wherein the encoder further includes a watermark engine, and wherein the watermark engine is operable to modify the at least one encoder input to include a digital watermark.

3. The system of claim 1, wherein the decoder further includes a watermark detection engine and a watermark subtraction engine, wherein the watermark detection engine is operable to detect a digital watermark, and wherein the watermark subtraction engine is operable to remove the digital watermark.

4. The system of claim 1, wherein the encoder further includes an encoder flash card reader and/or the decoder further includes a decoder flash card reader.

5. The system of claim 1, wherein the decoder is in communication with at least one viewing device, wherein the at least one decoder output is transmitted to the at least one viewing device, and wherein the at least one viewing device is operable to display one or more of the at least one decoder output.

6. The system of claim 1, wherein the encoder and/or the decoder are operable to generate, insert, and/or recover metadata related to the image signal.

7. The system of claim 1, wherein the encoder further includes an encoder operations programming port and/or the decoder further includes a decoder operations programming port, wherein the encoder operations programming port is operable to provide updates to firmware and/or software on the encoder, and wherein the decoder operations programming port is operable to provide updates to firmware and/or software on the decoder.

8. The system of claim 1, wherein the encoder further includes an encoder equalizer, at least one encoder serial to parallel converter, at least one Ethernet port, a DeBayer engine, a linear converter, a scaler, at least one custom encoder look-up table, an RGB-to-XYZ converter, an XYZ-to-xyY converter, a sampling selector, a gamma function, and/or at least one encoder parallel to serial converter.

9. The system of claim 1, wherein the decoder further includes a decoder equalizer, at least one decoder serial to parallel converter, a sampling converter, at least one xyY-to-XYZ converter, a gamma library, an XYZ-to-RGB library, at least one custom decoder look-up table, and/or at least one decoder parallel to serial converter.

10. The system of claim 1, wherein the encoder further includes at least one encoder formatter, wherein the at least one encoder formatter is operable to provide the at least one encoder output formatted for serial digital interface (SDI), high-definition multimedia interface (HDMI), Ethernet, and/or fiber.

11. The system of claim 1, wherein the decoder further includes at least one decoder formatter, wherein the at least one decoder formatter is operable to provide the at least one decoder output formatted for serial digital interface (SDI), high-definition multimedia interface (HDMI), Ethernet, and/or fiber.

12. The system of claim 1, wherein the decoder is in communication with at least two viewing devices, and wherein the decoder is operable to send the at least one decoder output to the at least two viewing devices simultaneously.

13. The system of claim 1, further including at least one viewing device, wherein the at least one viewing device includes a plurality of pixels and a plurality of subpixels, and wherein the data related to the two colorimetric coordinates (x and y) and the luminance corresponding to a pixel of the plurality of pixels is used to calculate a color and a brightness of one or more of the plurality of subpixels.

14. The system of claim 1, wherein a display gamma is calculated using a desired final electo-optical transfer function (EOTF).

15. The system of claim 1, wherein creation of the luma (Y′) does not include use of a nonlinear function.

16. A system for encoding and decoding an image signal, comprising: an encoder, wherein the encoder includes at least one encoder processor, at least one encoder memory, at least one encoder input, a watermark engine, and at least one encoder output; anda decoder, wherein the decoder includes at least one decoder processor, at least one decoder memory, at least one decoder input, a watermark detection engine, a watermark subtraction engine, and at least one decoder output;wherein the encoder and the decoder are in communication;wherein the at least one encoder input is image data related to the image signal;wherein the encoder is operable to process the at least one encoder input and the watermark engine is operable to modify the at least one encoder input to include a digital watermark, thereby creating the at least one encoder output;wherein the at least one encoder output is xyY data, wherein the xyY data corresponds to a set of values in an International Commission on Illumination (CIE) xyY color space, wherein the xyY data includes two colorimetric coordinates (x and y) and a luminance (Y);wherein the at least one encoder output is transmitted to the decoder, thereby creating the at least one decoder input;wherein the decoder is operable to process the at least one decoder input, the watermark detection engine is operable to detect the digital watermark, and the watermark subtraction engine is operable to remove the digital watermark, thereby creating the at least one decoder output;wherein the digital watermark is outside of the ITU-R BT.2020 color gamut and is not visible and is not detectable when displayed on a viewing device with the ITU-R BT.2020 color gamut; andwherein the decoder requires the presence of the digital watermark in the processed image data sent from the encoder to provide the at least one decoder output.

17. The system of claim 16, wherein the encoder further includes a gamma function, wherein the encoder is operable to process the at least one encoder input using the gamma function.

18. A system for encoding and decoding an image signal, comprising: an encoder, wherein the encoder includes at least one encoder processor, at least one encoder memory, at least one encoder input, a gamma function, and at least one encoder output; anda decoder, wherein the decoder includes at least one decoder processor, at least one decoder memory, at least one decoder input, a gamma to linear converter, and at least one decoder output;wherein the encoder and the decoder are in communication;wherein the at least one encoder input is image data related to the image signal;wherein the encoder is operable to process the at least one encoder input using the gamma function, thereby creating the at least one encoder output;wherein the at least one encoder output is xyY data, wherein the xyY data corresponds to a set of values in an International Commission on Illumination (CIE) xyY color space, wherein the xyY data includes two colorimetric coordinates (x and y) and a luminance (Y);wherein the gamma function is applied to the luminance (Y) to create a luma (Y′);wherein the at least one encoder output is transmitted to the decoder, thereby creating the at least one decoder input;wherein the decoder is operable to process the at least one decoder input and remove the gamma function using the gamma to linear converter, thereby creating the at least one decoder output.

19. The system of claim 18, wherein the encoder further includes a watermark engine, and wherein the watermark engine is operable to modify the at least one encoder input to include a digital watermark.

20. The system of claim 18, wherein the decoder further includes a watermark detection engine and a watermark subtraction engine, wherein the watermark detection engine is operable to detect a digital watermark, and wherein the watermark subtraction engine is operable to remove the digital watermark.