The present invention relates generally to high-resolution displays.
Displays are widely used to present information to viewers. In general, more information can be presented more clearly with displays having greater resolution. Moreover, displays with greater resolution are often more pleasing to viewers.
A variety of techniques have been proposed for presenting lower-resolution imagery on a higher-resolution display, for example using inter-pixel interpolation to increase the number of pixels in the image to match the number of pixels in the higher-resolution display. Other techniques, for example as taught in U.S. Pat. No. 8,179,401 use dither patterns for sequentially displaying groups of pixels, particularly for addressing motion artifacts in color sequential displays, but does not actually improve the apparent resolution of the display.
U.S. Pat. No. 6,574,032 discusses the use of a spatial light modulator to move the apparent location of light emitted by pixels. The spatial light modulator effectively enlarges the apparent pixel size to improve the fill factor. However, this approach does not actually improve the apparent resolution of the display.
U.S. Pat. No. 6,552,740 describes a printer using a spatial light modulator and proposes to duplicate pixel data by imaging the same data at multiple sites. This method can be used to create multiple overlapped images for the purpose of minimizing effects of pixel site defects in the spatial light modulator. Dithering is also proposed as a method for increasing the effective image resolution by printing a first image with the spatial light modulator in a first position, printing a second image with the spatial light modulator in a second position, and so on. This method can be used to increase image resolution by a multiple of two or four, depending on the dither pattern. However, this approach requires moving a relatively large spatial light modulator and requires a backlight.
There is a need, therefore, for devices, systems and methods for improving the apparent resolution of displays.
In one aspect, the present invention is directed to a high-resolution display, comprising: a display substrate; an array of light-emitting display pixels disposed on the display substrate; at least one actuator for physically moving the display substrate and the array of light-emitting display pixels to different physical locations in at least one dimension in a direction parallel to a surface of the display substrate; a controller for controlling the light-emitting operation of the display pixels and for controlling a spatial location of the display pixels; and wherein the controller controls the at least one actuator to interpolate the spatial location of the display pixels at successive times and controls the light-emitting operation of the display pixels to display a different subset of image pixels in an image at each successive time, wherein a total number of display pixels in the array of light-emitting display pixels is less than and evenly divides a total number of image pixels in the image in at least one dimension (e.g., wherein the number of image pixels is an integral multiple greater than one of the number of display pixels in at least one dimension).
In certain embodiments, the display pixels are color pixels comprising two or more light-emitting sub-pixels and the controller controls the sub-pixels to emit light of different colors. In certain embodiments, each display pixel is a single-color display pixel and adjacent display pixels emit different single-colors of light.
In certain embodiments, each spatial location of the display pixels that the controller controls the at least one actuator to move the display substrate to at a successive time of the successive times corresponds to a relative location of image pixels in the image displayed by the display pixels at the successive time.
In certain embodiments, a total number of spatial locations the controller controls the at least one actuator to move to is the same as the total number of image pixels in the image.
In certain embodiments, the spatial locations are interpolated in one dimension. In certain embodiments, the spatial locations are interpolated in two directions. In certain embodiments, the two directions are two orthogonal directions.
In certain embodiments, the spatial locations at successive times correspond to adjacent image pixels in the image.
In certain embodiments, the controller controls the at least one actuator to move continuously along a dither pattern.
In certain embodiments, each display pixel is separated from a neighboring pixel by a pixel separation distance and each of the at least one actuator has a range of motion for moving the display substrate that is at least equal to the pixel separation distance (e.g., at least equal to twice the pixel separation distance).
In certain embodiments, the display comprises an actuator for physically moving the display substrate and the array of light-emitting display pixels in a direction orthogonal to a surface of the display substrate on which the array of light-emitting display pixels are disposed.
In certain embodiments, the display substrate is substantially transparent and the high-resolution display comprises at least one additional display substrate each comprising an array of light-emitting display pixels disposed thereon and at least one actuator for physically moving the additional display substrate and the array of light-emitting display pixels disposed thereon to different spatial locations at least one dimension parallel to a surface of the display substrate, wherein the display substrate and the at least one additional display substrate form a stack of display substrates.
In certain embodiments, each display pixel is separated from a neighboring display pixel by a pixel separation distance and each of the at least one actuator has a range of motion for moving the display substrate of at least one half (e.g., at least two thirds or at least three quarters) of the pixel separation distance.
In certain embodiments, each display pixel is separated from a neighboring pixel by a pixel separation distance, wherein the display pixels are color pixels comprising two or more light-emitting sub-pixels, and the two or more light-emitting sub-pixels in a color pixel are separated by a distance that is less than or equal to one quarter of the pixel separation distance.
In certain embodiments, the light-emitting pixels comprise inorganic micro-light-emitting diodes comprising at least one of a length, a width, and a thickness that is less than or equal to twenty microns (e.g., less than or equal to ten microns, five microns, two microns, or one micron).
In certain embodiments, each sub-pixel comprises at least one micro-transfer printed micro-light-emitting diode comprising a fractured or separated tether.
In certain embodiments, each light-emitting display pixel in the array of light-emitting display pixels comprises an active-matrix pixel controller.
In certain embodiments, the at least one actuator is (i) one or more piezo actuators disposed to move the display substrate in one dimension; (ii) two or more piezo actuators disposed to move the display substrate in two dimensions (e.g., two orthogonal dimensions); or (iii) three or more piezo actuators disposed to move the display substrate in three dimensions (e.g., three orthogonal dimensions).
In certain embodiments, the display comprises an optical structure disposed over the array of display pixels such that light emitted by the display pixels is optically processed by the optical structure, wherein the at least one actuator is for moving the display substrate relative to the optical structure.
In certain embodiments, the at least one actuator moves the display substrate in at least one of (i) at least a portion of a straight line segment, a curved line segment, a circle, a circular line segment, a sinusoidal line segment, a sine wave, and (ii) a resonant mechanical mode in one or both of a horizontal plane parallel and a vertical plane orthogonal to a surface of the display substrate on which the array of light-emitting display pixels are disposed.
In certain embodiments, the display comprises a head set, wherein at least the display substrate, the array of light-emitting display pixels, and the at least one actuator are mounted to the head set.
In another aspect, the present invention is directed to a method of displaying images on a high-resolution display using spatial dithering, wherein the high-resolution display comprises a display substrate, an array of light-emitting display pixels disposed on the display substrate, at least one actuator for physically moving the display substrate and the array of light-emitting display pixels to different physical locations in at least one dimension in a direction parallel to a surface of the display substrate, and a controller for controlling the light-emitting operation of the display pixels and for controlling a spatial location of the display pixels and the method comprises the steps of: (a) emitting light from the array of display pixels while the display pixels are in an initial spatial location, wherein the emitted light corresponds to a subset of image pixels of an image and a total number of display pixels in the array of light-emitting display pixels is less than and evenly divides a total number of image pixels in the image in at least one dimension (e.g., wherein the number of image pixels is an integral multiple greater than one of the number of display pixels in at least one dimension); (b) controlling, by the controller, movement of one or more of the at least one actuator to move the display substrate such that the array of display pixels are interpolated to a different spatial location along a dither pattern; (c) emitting light from the array of display pixels while the array is in the different spatial location along the dither pattern, wherein the light emitted from the array of display pixels while in the different spatial location corresponds to a different subset of image pixels in the image than the subset of image pixels in the; and (d) repeating step (b) and step (c) until light has been emitted from the array of display pixels in each spatial location, thereby displaying the image.
In certain embodiments, the dither pattern is a 2×2 pattern, a 3×3 pattern, a 4×4 pattern, or a 5×5 pattern. In certain embodiments, spatial locations are interpolated along the dither pattern in one dimension. In certain embodiments, spatial locations are interpolated along the dither pattern in two directions. In certain embodiments, the two directions are two orthogonal directions.
In certain embodiments, each pair of successive spatial locations interpolated along the dither pattern corresponds to adjacent subsets of image pixels in the image.
In certain embodiments, at least one pair of successive spatial locations interpolated along the dither pattern corresponds to non-adjacent subsets of image pixels in the image (e.g., wherein one of the pair of successive spatial locations is the initial spatial location).
In certain embodiments, the array of display pixels are interpolated to successive spatial locations along the dither pattern by interpolating along at least a portion of a straight line segment, a curved line segment, a circle, a circular line segment, a sinusoidal line segment, or a sine wave.
In certain embodiments, the method comprises loading a second image to be displayed while moving, in response to the controller actuating the at least one actuator, the array of display pixels to the initial spatial position from a non-adjacent spatial location.
In certain embodiments, the high-resolution display comprises an orthogonal actuator for physically moving the display substrate and the array of light-emitting display pixels in a direction orthogonal to a surface of the display substrate on which the array of light-emitting display pixels are disposed, and the method comprises: controlling, by the controller, movement of the orthogonal actuator to move the display substrate such that the array of display pixels are interpolated to an orthogonal spatial location along the dither pattern, wherein the orthogonal spatial location is a spatial location that lies above or below a plane of the initial spatial location.
Some embodiments of the present invention provide a high-resolution display suitable for small, light-weight display systems at a relatively low cost and in a robust structure.
The foregoing and other objects, aspects, features, and advantages of the present disclosure will become more apparent and better understood by referring to the following description taken in conjunction with the accompanying drawings, in which:
The features and advantages of the present disclosure will become more apparent from the detailed description set forth below when taken in conjunction with the drawings, in which like reference characters identify corresponding elements throughout. In the drawings, like reference numbers generally indicate identical, functionally similar, and/or structurally similar elements. The figures are not drawn to scale since the variation in size of various elements in the Figures is too great to permit depiction to scale.
Referring to
The total number of display pixels 20 in the array of light-emitting display pixels is less than and evenly divides the total number of image pixels in the image in at least one dimension. That is, the total number of image pixels in images displayed on the display is an integral multiple of the total number of display pixels 20 in at least one dimension and, in some embodiments, in two orthogonal directions. For example, a display substrate 10 can include a 640×480 array of display pixels 20 and an image can include a 1280×960 array of image pixels so that the image has twice as many image pixels as the display substrate 10 has display pixels 20 in each of two dimensions and the image has four times as many image pixels as the display substrate 10 has display pixels 20.
One or more actuators 40 are disposed to physically move the display substrate 10 and light-emitting display pixels 20 in one or two dimensions in a direction parallel to a surface of the display substrate 10. For example, as shown in
A display controller 30 controls the light-emitting operation of the display pixels 20 and controls the physical location of the display pixels 20 in space by controlling the one or more actuators 40. A display controller 30 can be, for example, an integrated circuit that is electrically connected to the display pixels 20 with wires 22 and that electrically controls the display pixels 20 to emit light and electrically controls the actuator 40 to move the display substrate 10. In some embodiments, a display controller 30 comprises two or more sub-controllers, for example one sub-controller to control light emission and one sub-controller to control actuator motion (e.g., wherein each sub-controller is an integrated circuit). Sub-controllers of a display controller 30 can be spatially separate. A display controller 30 controls an actuator 40 to spatially interpolate the spatial location of display pixels 20 (e.g., along a dither pattern, as described subsequently) at successive times and controls light-emitting operation of the display pixels 20 to display a different subset of the image pixels at each successive time.
In a simple example, a display substrate 10 includes a 640×480 array of display pixels 20 and an image includes a 1280×960 array of image pixels so that the image has twice as many image pixels as the display substrate 10 has display pixels 20 in each of two dimensions.
Referring to
Referring to
Referring to
Referring to
In a determining step 408, a determination is made as to whether each spatial location in the dither pattern has been interpolated for the image. If not, then the method repeats the moving step 404 and the emitting step 406 (e.g., multiple times). For example, in some embodiments using a 2×2 dither pattern, a moving step 404 and emitting step 406 are performed three times for each image (e.g., frame of a video). If each spatial location has been interpolated, then a new image is loaded in a loading step 410. In some embodiments, a new image is loaded into the display 99 (e.g., into a controller 30 of the display 99) as the one or more actuators 40 move the array of display pixels 20 back to an initial spatial location. In some embodiments, a new image is loaded after display pixels 20 return to an initial spatial position.
In order to avoid perceptible flicker in a display, it is necessary to display the image pixel subsets at a rate greater than, for example 30 frames per second, the frame rate of the commercial analog NTSC television standard. In some embodiments of the present invention, a high-resolution display 99 is a relatively small display, for example having a diagonal size of a few centimeters, that can be disposed in a head-mounted display. However, users viewing near-to-eye head-mounted displays have a high expectation for display resolution and image quality. In certain embodiments, micro-transfer printed micro-LEDs 50 having a size, for example, of ten or 20 microns in a dimension are used in a high-resolution micro-display.
For example, in some embodiments, a high-resolution display 99 has a pixel separation of 50 microns for a native resolution of 20 pixels per millimeter. In some embodiments, a high-resolution display 99 has a pixel separation of 25 microns and an effective resolution of 40 pixels per millimeter in both row and column directions. If such a display is used with a 4×4 dither pattern to display an image with four times as many image pixels as display pixels 20 on the display substrate 10 in each dimension, the entire image can be displayed in 16 time periods with an effective resolution of 80 pixels per millimeter, an extremely high resolution.
In some embodiments of the present invention, as illustrated in
In some embodiments, it is not only necessary to provide data at a rate sufficient to avoid flicker, it is necessary to move a display substrate 10 to a number of positions to display the data at a corresponding rate. For example, a display using a 4×4 dither pattern moves a display substrate to 16 locations to display a single image (e.g., frame of a video). In some embodiments, an actuator 40 moves a display substrate 10 a distance up to the pixel separation distance D, for example up to 50 microns. Commercially available piezoelectric actuators 40 can move distances of a millimeter without difficulty at a rate of 350 mm per second (i.e., one micron in 2.86 microseconds). For example, a high-resolution display 99 with a 50-micron pixel separation distance D using a commercially available piezoelectric actuator capable of 350 mm per second movement and a 4×4 dither pattern requires a maximum movement in each dimension of movement (e.g., x- and y-dimensions) of 37.5 microns, which takes 107 microseconds (i.e., can occur at a rate of 9324 movements per second) using. Sixteen movements (e.g., one to each position of the 4×4 pattern) would therefore require at most about 1712 microseconds and yield a frame rate limited by the piezoelectric actuators 40 of about 584 frames per second. Thus, a piezoelectric actuator 40 can enable useful frame rates. Micro-LED displays having pixel separation distances D less than 100 microns have been built and in accordance with some embodiments using a 4×4 spatial dither pattern can operate at 292 frames per second. Thus, some embodiments of the present invention provide a useful high-resolution display 99.
In some embodiments, display pixels 20 are color pixels having two or more light-emitting sub-pixels and a display controller 30 controls the sub-pixels to emit light of different colors. Referring to
To ensure that image pixels are displayed at correct locations in a high-resolution display 99 in accordance with some embodiments of the present invention, the location of display pixels 20 at a time can correspond to the relative location of the image pixels in the image displayed by the display pixels 20. That is, the locations moved to by the display pixels 20 in the display 99 correspond to discrete locations of image pixels in an image being displayed. Therefore, in some embodiments, the total number of display pixel spatial locations is the same as the number of image pixels in an image being displayed (e.g., as illustrated in
In some embodiments, and as illustrated in the figures, spatial locations are interpolated in two dimensions (e.g., using a two-dimensional dither pattern). In some embodiments, spatial locations are interpolated in only one dimension (e.g., using a one-dimensional dither pattern).
Image pixels in a dither pattern can be displayed in any order (e.g., an arbitrary order). In some embodiments, the number of display substrate 10 movements are reduced by displaying image pixels adjacent in one dimension at successive times. For example, with reference to
Five different exemplary dither patterns are illustrated in
In the second exemplary dither pattern, nine-location dither pattern B, display pixels 20 on a display substrate 10 are moved from an upper-left spatial location in the horizontal direction to an upper right spatial location and then down to a middle row of spatial locations. The display pixels 20 then move back to the first column, then down to the bottom row and across to the right side of the 3×3 array of spatial locations, and then back to the original spatial location. Spatial locations at successive times are adjacent except for the return to the original spatial location.
In the third exemplary dither pattern, nine-location dither pattern C, display pixels 20 on a display substrate 10 are moved from an upper-left spatial location in the horizontal direction to an upper right spatial location and then down the right-side column of spatial locations to the bottom row of spatial locations. The display pixels 20 then move back to the first column, then up to the middle row, over to the middle column, and then diagonally back to the original spatial location. In this exemplary 3×3 dither pattern, spatial locations at successive times are all adjacent except for the return to the original spatial location.
In the fourth exemplary dither pattern, sixteen-location dither pattern D, display pixels 20 on a display substrate 10 are moved from an upper-left spatial location in the horizontal direction to an upper right spatial location and then down the right-side column of spatial locations to the bottom row of spatial locations. The display pixels 20 then move back one column, then up to the second row, over another column, and then back to the bottom row of spatial locations. The display pixels 20 then move back to the first column and then to the original spatial location. In this exemplary 4×4 dithered pattern, spatial locations at successive times are all adjacent.
In the fifth exemplary dither pattern, twenty-five-location dither pattern E, display pixels 20 on a display substrate 10 are moved from an upper-left spatial location in the horizontal direction to an upper right spatial location and then down the right-side column of spatial locations to the bottom row of spatial locations. The display pixels 20 then move left one column, up to the second row, left another column, down to the bottom row, and then back and forth up to the original spatial location with alternating row and column movements. In this exemplary 5×5 dither pattern, spatial locations at successive times are all adjacent except for the return to the original spatial location.
The dither patterns of
In some embodiments of the present invention, and as illustrated in
Referring to
In some embodiments of the present invention, spatial locations between single-color display pixels 20 can also be interpolated in one or two dimensions (e.g., in accordance with
Referring to
In some embodiments, if actuators 40 are controlled by a display controller 30 to operate out of phase, a surface of a display substrate 10 can be oriented in different directions (tilted). In some embodiments, if display pixels 20 comprise light-emitting lasers, for example laser diodes, then light can be emitted in different directions, for example providing different images to different viewers or to the different eyes of a single viewer.
In some embodiments of the present invention, piezo actuators move a display substrate in a resonant mechanical mode in one or both of a horizontal plane parallel to or a vertical plane orthogonal to a surface of the display substrate on which an array of light-emitting display pixels are disposed. Resonant mechanical motion at resonant frequencies of a display substrate 10 can enable a reduced power and a higher frame rate of display substrate 20 motion. Furthermore, in some embodiments, a display substrate 10 is tilted by operating actuators 40 out of phase or by providing actuators 40 at only some of the sides or edges of a display substrate 10, the display substrate itself can vibrate, bending in response to actuator 40 mechanical impulse. Vibration can be mechanically resonant and can cause display pixels 20 to emit light in different directions over time, reducing brightness in one direction while increasing the volume of space into which light is emitted by the display pixels 20.
Referring to
Referring to
Referring to
In some embodiments, an actuator 40 never fully stops in a specific position but continues moving as image pixels are displayed. This will blur the displayed pixels but for such short times and distances that the effect is not noticeable.
In some embodiments, using a 2×2 dither pattern, an actuator 40 has a range of motion for moving a display substrate 10 of at least one half of a pixel separation distance D in size. In some embodiments, using a 3×3 dither pattern, an actuator 40 has a range of motion for moving a display substrate 10 of at least two thirds of a pixel separation distance D in size. In some embodiments, using a 4×4 dither pattern, an actuator 40 has a range of motion for moving a display substrate 10 of at least three quarters of a pixel separation distance D or at least the pixel separation distance D in size. In some embodiments, an actuator 40 moves a display substrate 10 a distance equal to a pixel separation distance D or a distance twice the pixel separation distance D (for example if three different single-color display pixels 20 are used).
In some embodiments, in which display pixels 20 include multiple sub-pixels, light-emitting sub-pixels are separated by a distance P that is less than or equal to one quarter of the separation distance. In some embodiments, this helps to avoid blur and ensure that sub-pixels are not moved to a location that overlaps a different sub-pixel in a different display pixel 20.
In some embodiments, as shown in
Micro-LEDs 50 used in high-resolution displays 99 can comprise semiconductor structures such as silicon, or semiconductor structures that are compound semiconductor structures, for example GaN. Different micro-LEDs 50 that emit different colors of light can be made using different semiconductors, such as different compound semiconductors. Micro-LEDs 50 can be inorganic LEDs and can include dielectric materials, for example silicon dioxide or nitride to protect the micro-LEDs 50 and provide tethers 52 (e.g., that can be fractured) for use in transfer printing (e.g., micro-transfer printing). Micro-LEDs 50 having various structures can be made using, for example, doped or undoped semiconductor materials and can be made using photolithographic techniques. A display pixel 20 can comprise one or more inorganic LEDs (iLED) such as micro-LEDs 50. In some embodiments, solid-state lasers (e.g., diode lasers such as micro diode lasers) are used as light emitters in a display pixel 20. It is understood that where reference is made to an LED in a display pixel 20, a comparably sized diode laser can be used in place of the LED or micro-LED. Micro-LEDs 50 can be relatively small, for example in embodiments each micro-LED 50 has at least one of a width from 2 to 5 μm, 5 to 10 μm, 10 to 20 μm, or 20 to 50 μm, a length from 2 to 5 μm, 5 to 10 μm, 10 to 20 μm, or 20 to 50 μm, and a height from 2 to 5 μm, 4 to 10 μm, 10 to 20 μm, or 20 to 50 μm. In some embodiments, micro-LEDs 50 are formed in substrates or on supports separate, distinct, and independent from a display substrate 10.
According to some embodiments of the present invention, display pixels 20 incorporate micro-elements, such as micro-inorganic-light-emitting diodes and micro-controllers (e.g., pixel controllers 24 as shown in
Methods of forming micro-transfer printable structures are described, for example, in the paper AMOLED Displays using Transfer-Printed Integrated Circuits (Journal of the Society for Information Display, 2011, DOI #10.1889/JSID19.4.335, 1071-0922/11/1904-0335, pages 335-341) and U.S. Pat. No. 8,889,485, referenced above. For a discussion of micro-transfer printing techniques see, U.S. Pat. Nos. 8,722,458, 7,622,367 and 8,506,867, the disclosure of each of which is hereby incorporated by reference in its entirety. Micro-transfer printing using compound micro-assembly structures and methods can also be used with the present invention, for example, as described in U.S. patent application Ser. No. 14/822,868, filed Aug. 10, 2015, entitled Compound Micro-Assembly Strategies and Devices, which is hereby incorporated by reference in its entirety. In some embodiments, a high-resolution display 99 (e.g., a display substrate 10 thereof) is a compound micro-assembled device. In some embodiments, display pixels 20 are micro-transfer printed onto a display substrate 10 [e.g., wherein the printed display pixels 20 comprise broken (e.g., fractured) tethers resulting from the micro-transfer printing process]. In some embodiments, light emitters such as micro-LEDs or laser diodes are micro-transfer printed onto a display substrate 10 [e.g., wherein the printed light emitters comprise broken (e.g., fractured) tethers resulting from the micro-transfer printing process]. In some embodiments, micro-controllers used in active matrix control of a pixel are micro-transfer printed onto a display substrate 10 [e.g., wherein printed micro-controllers comprise broken (e.g., fractured) tethers resulting from the micro-transfer printing process]. In some embodiments, components such as light emitters and, optionally, micro-controllers are micro-transfer printed onto an intermediate substrate in order to form a display pixel 20, and the display pixel 20 is then micro-transfer printed onto a display substrate. Additional details useful in some embodiments are described in U.S. patent application Ser. No. 14/743,981, filed Jun. 18, 2015, entitled Micro Assembled LED Displays and Lighting Elements, the disclosure of which is hereby incorporated by reference in its entirety.
As is understood by those skilled in the art, the terms “over”, “under”, “above”, “below”, “beneath”, and “on” are relative terms and can be interchanged in reference to different orientations of the layers, elements, and substrates included in the present invention. For example, a first layer on a second layer, in some embodiments means a first layer directly on and in contact with a second layer. In other embodiments, a first layer on a second layer can include another layer there between. Additionally, “on” can mean “on” or “in.”
Having described certain embodiments, it will now become apparent to one of skill in the art that other embodiments incorporating the concepts of the disclosure may be used. Therefore, the invention should not be limited to the described embodiments, but rather should be limited only by the spirit and scope of the following claims.
Throughout the description, where apparatus and systems are described as having, including, or comprising specific components, or where processes and methods are described as having, including, or comprising specific steps, it is contemplated that, additionally, there are apparatus, and systems of the disclosed technology that consist essentially of, or consist of, the recited components, and that there are processes and methods according to the disclosed technology that consist essentially of, or consist of, the recited processing steps.
It should be understood that the order of steps or order for performing certain action is immaterial so long as the disclosed technology remains operable. Moreover, two or more steps or actions in some circumstances can be conducted simultaneously. The invention has been described in detail with particular reference to certain embodiments thereof, but it will be understood that variations and modifications can be effected within the spirit and scope of the invention.
This application claims the benefit of U.S. Provisional Patent Application No. 62/420,529, filed Nov. 10, 2016, entitled “Spatially Dithered High-Resolution Display”, the disclosure of which is incorporated by reference herein in its entirety.
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