Not applicable.
Not applicable.
1. Field of Invention
This invention relates to the field of display devices, particularly active display devices, formed by small light emitting elements (pixels), the aggregate of which forms a display image, including characters, and in particular to the displays which are organized in pixels which are typically arranged in rows and columns over the surface of the display area, sometimes as a checkerboard (x-y arrangement or chess-board). The invention discloses a method and a system to forestall the formation of continuous lines of light elements, often distinguishable in the image, which are visually disturbing because the true image is continuous with no streaks across it.
2. Discussion of Prior Art
For better understanding of the description that follows we want to clearly define some terms used in what follows. Artifact: as used here and in technology, the term means an unwanted, and usually undesirable and deleterious change on the result produced as a consequence of the particular method used to measure or to detect something. In this sense the term is used mostly by researchers in laboratories and departs from the ordinary English dictionary meaning of it. Variously spelled as “artifact” and “artefact”.
Checkerboard arrangement: a horizontal-vertical arrangement of squares, as the ones on a checkerboard or chess board or tic-tac-toe grouping of squares. Used here to indicate an equivalent arrangement of pixels (q.v.), also called here x-y arrangement or a matrix type arrangement. If the notation x-y is used, usually x—lies along the horizontal direction (or rows) and y—lies along the vertical direction (or columns). Cf With 2-D hexagonal close-packed arrangement (2Dhcp), with pseudo hexagonal close-packed arrangement and with pseudo-checkerboard arrangement.
2-D Hexagonal close-packed arrangement (2Dhcp): On a surface described by a standard x-y Cartesian coordinate system, the 2Dhcp is a geometrical distribution of equal circular elements on a surface such that subsets of the equal elements are arranged on horizontal lines characterized by the same y-coordinate, and each horizontal line is occupying such a position that the x-coordinate of each of its elements is at the average horizontal (x) coordinate as the coordinates of the elements to its right and left on the lines just above and below it. The 2dhcp arrangement packs the maximum number of circles on any given surface. Cf Checkerboard arrangement and pseudo hexagonal close-packed arrangement and pseudo checkerboard arrangement.
Line of pixels: We arbitrarily define a line of pixels as a straight line passing by a plurality of light emitting device pixels within the centers of the pixels plus or minus 5% (5 percent) of the radius of the pixels.
Neighborhood of a pixel: We arbitrarily define here the neighborhood of a light emitting device pixel as a circle around the center of the light emitting device pixel with radius equal to 5% (5/100) of the distance between the two closest of the light emitting device pixels of the set.
Pixel (also light emitting device pixel): An elementary light emitter which is small enough that it is hardly distinguishable from its neighbor pixels from the intended viewing distance. A pixel may be a combination of several individual light emitters of different colors, as red-green-blue (RGB), in which case it is the group that is considered a pixel, instead of an individual light emitter. Also used for an elementary light detector, as a the individual light detectors in a digital camera. Associated with Pixelized: the quality of a image or display which is made from pixels.
Position of pixel: We call the position of each pixel as the point where is located the geometric center of the single or multiple light emitting devices corresponding to the pixel.
Pseudo checkerboard arrangement: An arrangement of light emitting device pixels which includes one or more deviations from the checkerboard arrangement. Variations may include two rows (or lines) following an hexagonal close-packed arrangement, two rows (or lines) at a distance larger than the minimum distance characteristic of the checkerboard arrangement, or other partial departure from the true checkerboard arrangement. Such internal departures from the ideal contribute to forestall line continuations from one module to the neighboring module(s). Cf hexagonal close-packed arrangement, pseudo hexagonal close-packed arrangement and with checkerboard arrangement.
Pseudo hexagonal close-packed arrangement: An arrangement of light emitting device pixels which includes one or more deviations from the hexagonal close-packed arrangement. Variations may include two rows (or lines) following a checkerboard arrangement, two rows (or lines at a distance larger than the minimum distance characteristic of the hexagonal close-packed arrangement, or other partial departure from the true hexagonal close-packed arrangement. Such internal departures from the ideal contribute to forestall line continuations from one module to the neighboring module(s). Cf Hexagonal close-packed arrangement, with checkerboard arrangement and pseudo checkerboard arrangement.
Radius of the pixels: We arbitrarily define the radius of a pixel as the smallest distance between a pixel and any of its neighbors.
The field of pixelized displays has been characterized by displays which consisted of light elements (pixels) usually arranged in repeating rows and columns, as a matrix (or x-y, or checkerboard). The rows and columns are usually evenly spaced, but sometimes the horizontal (x) separation is not the same as the vertical (y) separation. This choice of evenly spaced horizontally and vertically arranged pixels occurred because it is less expensive and easier to manufacture such a type of display on such an organized array than a display with randomly positioned pixels, as are, for example, the pixels on a pointillist painting by Georges Seurat, in which the individual dots were randomly arranged, besides being of variable size. The economic advantage of smaller price of manufacture comes at the price of decreased image quality—after all, there was a good reason, a very good reason indeed, why Seurat and the other pointillist painters never used colored dots on evenly spaced rows and columns as current manufactured lighted displays do. But alas, theirs was a work of art, while pixelized light emitting displays are work of money! Still, one is tempted to improve the quality of displays made for money—how much better life would be if billboards displayed works of art instead of advertisements for products that are not even needed. It is difficult to improve on Seurat's paintings, but it is easy to improve on the poorly conceived work of money—though the inventors can't help other than to wonder if it is worth to do this, to improve the visual quality of advertising boards.
The light emitting surface is typically subdivided in modules that are designed for easy industrial production, typically of rectangular or square shape. These modules may typically have dimensions of the order of a foot (30 cm), for example, 20 cm by 40 cm.
Isaac Newton was the first to notice that an appropriate mixture of three colors is capable of creating the visual impression on humans of all the colors, which he demonstrated with his Newton color wheel, a fact that today is easy to predict once it is know that the human eye (and many other mammals as well) has three types of different cone shaped detectors capable of responding to three different colors—actually three different maximum responses at three different colors, which overlap. For lighted advertising displays, designed to prod people to buy objects that they do not need, an appropriate combination of each of these colors at a continuously varying light intensity, is capable of creating a suitable variety of colored dots, the aggregate of which produces an image when viewed from and beyond a certain distance, which depends on the size of the pixels used for the display.
As examples of the decreased image quality we can cite:
1. if a particular feature falls on a line that also happens to be thin and horizontal, the display procedure could consider the lighted points to fall in between the existing pixels and ignore the line, which would then not be shown, or could display it using all pixels above the actual line and all pixels below the actual line, therefore increasing the line width, or could display it at a horizontal line just under the correct position, all options creating a deformed image.
2. same, mutatis mutandis, for a vertical line,
3. if a particular feature falls on a line which is at a small angle with the horizontal, given the impossibility of displaying points (pixels) at arbitrary vertical positions, the display would have to light a small horizontal segment followed by another small horizontal segment slightly higher, etc., etc., which causes a disturbing image of a stairway,
4. same, mutatis mutandis, for an off-vertical line.
The last two effects are disturbing because our brains are trained to detect the stair-case feature out of the background. It would be advantageous to have a display system that were not characterized by these artifacts.
Accordingly, it is an object of the present invention to improve on the quality of the image displayed on a public announcer, as a street advertising board, or a highway announcer or the like.
It is another object of the present invention to decrease the artifacts created by light emitters located at repetitive arrangements on the surface of the announcing surface, as checkerboard (x-y) arrangements, or other geometric arrangement.
It is a further object of the present invention to forestall the artificial visual impression of lines across the image, which are not part of the intended image but appear on the display because all the light emitters are arranged on linear geometric arrangements.
It is yet another object of the present invention to forestall the existence of spatial frequencies of light emitters, which cause the phenomenon known as Nyquist frequency folding, which results in the introduction of features in the image which are not part of the actual image, in effect changing the displayed image.
Accordingly, it is an object of the present invention to decrease the artifacts introduced in images produced by light emitters regularly organized in rows and columns. particularly the artificially produced visible continuous lines of light, particularly along the horizontal and vertical directions which are common in current types of lighted displays
If one or more of the cited objectives is not achieved in a particular case, any one of the remaining objectives should be considered enough for the patent disclosure to stand, as these objectives are independent of each other.
This invention discloses a method and system to forestall the formation of lines along certain directions, usually horizontal and vertical directions, on a pixelized image display, as there exists in street advertising boards and indoor/outdoor announcement boards, as in sports stadiums and arenas, airport and train station announcing boards, computer monitors and TV displays, and other displays characterized by pixelized “dots” which are generally arranged along rows and columns. Of these, the street advertising boards are the most conspicuous example of the offending characteristic, being the ones where the lines are most visible. Indoor information display boards, as in airport and train stations, have smaller pixels, and therefore the lines are less obvious than the lines on public advertisement billboards, and then computers and TV displays are nowadays produced with so small pixels that they are hardly perceptible though they can also be improved.
The lines across the image that are characteristic of current devices have also another disadvantage, which is the introduction of image features which are not part of the intended image, via the mechanism of Nyquist frequency folding.
a. A small section of a large display composed of the hexagonally shaped module of our invention with some of the pixel distributions disclosed in our invention. The actual size ratio of pixel to hexagonal module size is exaggerated to conform to USPTO requirements and to better display the features explained. A typical actual hexagonal module would be 20 cm each side, each pixel 8 mm center-to-center separation, with a total of 50 pixels from corner to corner along the longest dimension and 44 pixels along any direction perpendicular to any pair of parallel sides—these being typical dimensions only, not intended to limit the description and the invention. Inside the hexagonally shaped modules, h1 and v1 contain pixels arranged in the hexagonal-close-packed arrangement, while h2, h3, v2 and v3 contain pixels arranged in a distribution that departs slightly from the hexagonal-close-packed arrangement, which we call pseudo-hexagonal-close-packed arrangement. The pseudo-hexagonal-close-packed arrangement may differ from the hexagonal-close-packed distribution on a single row or column, causing that all other row or columns are likewise displaced, or it may differ from the hexagonal-close-packed distribution on a few rows or columns.
b. Same as Figure
a. A hexagonal-close-packed arrangement of pixels. Note that the pixels in each row is half a separation in the horizontal direction between the pixels in the row above and below it.
b. A checkerboard arrangement of pixels. Note that the pixels in each row is exactly below and above the pixels in the row above and below it.
Our invention is a method and a means to forestall the introduction of lines in pixelized displays, lines which are not part of the intended image. Such lines are introduced via three different mechanisms: (1) the actual linear arrangement of pixels (light elements) which make the image (see
Lines are artificially introduced in the image produced by a pixelized display because the light emitters (pixels) are usually arranged in lines (rows and columns), as an ordered x-y array, or checkerboard array, or chess board array, which in turn is used because this arrangement is easier to manufacture and also because it lends itself better to a control by a micro computer, micro-controller and the like. The artificially introduced perception of lines is due to the lack of light emitters outside of the checkerboard matrix-like array—only light along the lines defined by the existence of the light emitters. Given that current display technology has to resort to the use of individual light emitters (pixels), a better image can be produced if the pixels are not arranged in an ordered x-y display. As an example, Seurat, the best exponent of the painting school known as pointillism, who created paintings with dots of varying colors and sizes distributed on the canvas, did not arrange the dots in his paintings on any array or other regular distribution, but rather his dots were randomly placed, besides being of random sizes too. A comparison between a Seurat painting and a current art outdoor display will bring out one aspect of the differences between our invention and the existing art, and the reader is encouraged to spend some time observing both and thinking about the differences between them and the consequences for the visual impact on the observer. It is of note that some less expensive printing methods also use small dots to print an image in colors, a method often used by newspapers. Yet, newspapers that do so, do make the dots of varying sizes arranged on a non-linear distribution, as Seurat did, not as orderly arranged dots as the outdoor displays do.
a and 3b display the main embodiment of our invention, which is a method and a device to prevent the formation of lines in images created by small individual light emitters, and the prevention of the appearance at low frequencies of repetitive features which in the intended image appear at higher frequencies, due to Nyquist folding. It is to be noted that lines across an image gives the sensation of an unnatural and disturbing image, because the brain detection and interpretation mechanism in human eyes expects no lines. The lines usually originate from two sources: (1) the horizontal and vertical lines of light emitters in current art displays (see dots in
The main embodiment discloses a device generally similar to the existing displays as described above: a vertically oriented display designed for street announcements, typically measuring 20 meters horizontally by 5 meters vertically, which is placed in a location easily visible from most of the streets in the neighborhood, usually at the height of a second floor. The street announcer of my invention has a front or first surface, on which there is a large number of small light emitters, typically of three colors (red-green-blue, RGB), which can be computer controlled to be off or on at a substantially continuum range of light intensity, up to the maximum possible for the particular emitter. Parallel to and behind the front surface, there is a back or second surface, with appropriate fasteners to secure the announcing board to a supporting structure anchored on a building or on the ground, that is of sufficient strength to keep the structure on a vertical position, and which is also capable of supporting the power cables and other wires carrying computer controls, data and other signals to control the light emitters. The back surface is also provided with appropriately designed fasteners on which light emitting modules to be described in the sequel can be attached, the aggregate of which constitute the front or first surface. For the main embodiment, which is large, the whole lighted surface is generally made up from modular smaller units, which in the current devices are either square- or rectangular-shaped. Our invention discloses a different shape for the modules, though, hexagonal shape. Hexagonal shaped modules forestall the appearance of continuous darker lines on the images, which appear at the borders of the modules, and which, for square or rectangular shapes are continuous across the whole surface, horizontally (see 110h
Since this is an important point we repeat it: contrary to the current devices, which builds the light emitting surface with rectangular modules, our invention discloses a new shape for the module: hexagonal modules. An hexagonal module forestalls the continuing darker line created by the module frames, which is quite pronounced in current art when the field is an even illumination and color across a large surface. Comparison between
Before continuing with the description of the main embodiment, it is worth to bring to the attention of the reader that cost considerations dictate that the displays should be made with modular subunits, and moreover, that within each module, the pixels should be arranged on some regular arrangement. Irregular arrangements of the pixels within each module are also possible and covered by our invention disclosure, but they suffer from creating a larger burden to the controlling electronics and to the necessary programming to control the display, and are likely to be avoided in actual displays. Moreover, it is worth to observe
As a preparation for the disclosure of the invention the reader is invited to look at
Observing
Moreover, the hexagonal modules can be made arbitrarily small, which in turn causes that the small linear segments inside them are accordingly smaller too. Of course that a compromise must be reached with the module size, because smaller modules cause an increase in the cost of erecting them.
For better effect, more than six different light arrangements within each module can be created, with the further breaking of continuous lines from one module to the next one. As visual observation of
Each hexagonal module disclosed by my invention should function as a unit, with a standard wire harness to receive power from an appropriate power supply, and computer control from the external computer, which controls the image on the whole display, or first surface. In the main embodiment of our invention, the control of the light emitting elements within each hexagonal module is partly made by control electronics that is included in each module, which includes an 8051 microcontroller. Other microcontrollers are possible, as the PIC 12C508A, the PIC 18F8720 microcontrollers, or the TMS320C2000 digital signal processor, to name just a few. This division of tasks with the main external microcomputer, which receives the full image in software and is responsible, using appropriate software, to control the whole display, is one of the options, not a restriction on our invention, which may also be implemented with one single controlling unit in control of all pixels on the whole display surface.
Observing
One intended use of the invention is the outdoor display used mostly for commercial advertisements with its lower edge usually at a height of a 2nd or 3rd floor, total typical height from one floor (3 m=9 ft) to 2 floors (6 m=18 ft.).
Another intended use of the display disclosed in my invention is the large outdoor displays used in some sports stadiums and arenas, some of which being 12 m high (35 ft) as in large soccer, football or baseball open arenas.
Another intended use of the display disclosed in my invention is for passengers information on arrivals and departures boards in train stations and airports.
Another intended use of the display disclosed in my invention is for convention halls.
Another intended use of the display disclosed in my invention is for the slide displays that are often used to guide a speaker during a conference, where the speaker projects a power-point presentation. This application would require a much smaller illuminated area, typically 7 to 10 feet horizontal by 4 to 6 feet high.
Another intended use of the display disclosed in my invention is for computer monitors and home TVs.
Operation of the Invention
A micro-computer is normally required to operate my invention, though it can be implemented with hardware logic too, particularly if the displayed image is fixed or changes within a small set of patterns, as a bus display, which continuously displays the bus number and a fixed number of stop stations, date and time of the day. The main embodiment uses distributed computing, a technical term which means that not all computing is performed at the controlling microcomputer, but rather that this controlling microcomputer sends general information regarding the image to be displayed to other less powerful microcomputers, called microcontrollers, in this case associated with each of the hexagonal modules, one microcontroller for each hexagonal light module, which then take care of the details of the light emitted by each pixel in its control. This division of control is not necessary for the invention, which can also work with the microcomputer in total control of all the pixels or with microcontrollers controlling more than one light module.
The main embodiment of our invention makes use of a binary addressing system to select which pixels are on and a binary number to control at which brightness each pixel is set. The main embodiment also uses local microcontrollers associated with each module to control the pixels in them, according to instructions originating from a microcomputer which is in charge of the whole display and which continuously updates each microcontroller according to a pre-loaded program. The wires and cables carrying the digital information from the microcomputer to the microcontrollers and the power wires and cables that carry the power to each light emitting element, as an LED, pass at the back surface of the display then to each module, as required. Other possibilities are acceptable, as the microcomputer directly controlling each pixel, or other path for the cables, which can run inside the supporting structure instead of behind it, of on the sides of it, etc, all such variations being acceptable without changing the nature of our invention.
Each pixel is then selected to emit at a particular time varying intensity, in such a way that the aggregate of the light emitted by them forms an image or letters, or both, as required.
The main embodiment of the invention make use of a computer or similar device, with which a desired figure or drawing, or text, or geometrical shape, etc. may be transferred to the electronic controlling system for display on the device. The computer may, in turn, be controlled via a Graphical Use Interface similar to the interfaces used in ordinary computer systems, with drop-down modules for “file”, “edit”, etc., particularly designed for the device.
An alternative embodiment uses the same LED arrangements as the main embodiment does, that is, hexagonally-close-packed arrangement, pseudo hexagonally-close-packed arrangement, checkerboard arrangement, etc., but keeps the same square or rectangular frame as prior art. In this alternative embodiment the lines created by the frames are still visible, but the pixel lines from square to square are no longer visible. This alternative embodiment is a smaller modification on current art when compared with the main embodiment. This alternative embodiment may be chosen for compatibility with existing displays.
Another alternative embodiment uses the hexagonal modules but the same checker-board light emitting elements as prior displays. This alternative embodiment forestalls the line continuation from one module to the next along one direction but allows line continuation on a direction perpendicular to the direction along which the lines are frustrated. This happens because of the arrangement of the hexagonal modules displace the internal lines along the direction which is parallel to the hexagon sides but does not displace the internal lines along the direction which is perpendicular to the hexagon sides. Given the continuation of line of pixels from side-to-side, or from top-to-bottom is the main offensive characteristic, such an alternative embodiment would offer partial improvement, along one direction only, but it would still be an improvement over current devices (“current art” as the lawyers like to say).
An alternative embodiment uses light emitting elements at fixed random positioning on each module. This embodiment maximizes the break of line arrangement on the displaying surface.
Another alternative embodiment of our invention is the implementation of the local displacement of small segment of light emitting elements distributed on the LCD monitors used with computers or with TV screens. In this case the total surface is not divided in modules, but it is monolithically manufactured as a single unit, so this alternative embodiment makes use of one part only of the method and means disclosed for the outdoor and indoor displays disclosed in the main embodiment. It is to be noted that current LCD monitor displays are made with such small pixels that they hardly cause any disturbing sensation on the viewer, but still a small improvement can be made on the image, or else the pixels can be made larger (thereby decreasing the production cost) offering still an acceptable image if the larger pixels are distributed as disclosed in this invention, frustrating the line continuation across the screen.
Another alternative embodiment of our invention is to organize the modules as either squares or rectangles and having the pixels inside each module organized in a checker-board arrangement, as they are in current displays, therefore maintaining the existing manufacturing line of production and adding no extra cost to them, but displacing adjacent columns and adjacent rows across the display by some fixed amount, which is a fraction of the distance between pixels. Such an arrangement would forestall that any line or column continue along the lines and columns of the adjacent modules to the sides or up and down. The fixed fraction that measures the horizontal and vertical displacements of the modules may vary from one column to the next and from one row to the next, further scrambling the line continuation. Such arrangement may be complemented with linear light arrangements that would fill-in the voids SLv and SLh as seem in
For the use of the technology disclosed in this invention it is not necessary that the display is organized in modules, it being possible and within the scope of the invention that the full display area is made in a unit. This is actually always the case for small displays, as in the stripe-like displays on some buses, on displays indicating directions on buildings visited by newcomers, as in museums, government buildings, on some advertisements on window displays, and more. The size of the displays form a continuum, and even if the larger displays are easier to manufacture with modules they work perfectly well when constructed as a single unit.
There are many possible variations of the main embodiment or of the alternative embodiments, which are intended to be covered by this invention. For example,
Four of the six hexagonal modules disclosed in the main embodiment can be positioned in three rotational possible orientations, each of which has different characteristics: the main orientation, rotated 60 dgs counterclockwise and rotated 120 dgs counterclockwise. The next rotation, 180 dgs counterclockwise repeats the original one, etc., so there are only three distinguishable rotations. Each of these rotations applied to h2, h3, v2 and v3, produce another pixel arrangement with respect to the main supporting structure which is different than the disclosed in
The light emitters may be laser diodes.
The light emitters may have its beam reflected by a mirror with controllable motion, under the command of a microcomputer or of a microcontroller, which is programmed in such a way as to point the light to the proximal extremity of a fiber optical bundle, the distal extremity of which are perpendicular to the first surface described above, on which images are created.
The light emitters within each module may be organized in an arrangement which is the same as all others, but horizontally and/or vertically displaced by a fraction of the distance between each pixel. For example, the lower row may be ⅓ of the pixel separation lower with respect to the supporting module frame than the average, causing that all other pixels, at a fixed distance from it, are also lower by the same amount. This would preclude that a next neighbor module, to the left or to the right, would create a continuous line. Instead of ⅓ the displacement can be ¼, ⅜, or some other fraction. The same principle applies to the most left column, displaced ⅕ or any other reasonable fraction to the right, causing that all other pixels are so displaced with respect to the average displacement, again disrupting the existence of vertical lines across the whole surface.
The main embodiment uses LEDs as light emitters, which is not a restriction of my invention, other types of light emitters being possible without changing the invention, including optical fibers for outdoor and indoor displays, including projectors, or for personal computer monitors and TVs. The main embodiment uses light emitters in the colors red, green and blue (RGB), with which all colors are created as an appropriate mixture of these colors. Other combinations used in current art and possible for our invention are 2R-1G-1B (two reds, one green, one blue), or RYGB (red-yellow-green-blue) or RGB and one white, to mention just a few that are in current use, other combinations being possible as know to persons with skills or knowledge in the field of image displays. The controlling computer has also command and control of the appropriate hardware to control the current passing through each LED, which in turn determines their brightness. The main embodiment discloses hexagonal blocks with sides equal to 20 cm, which are populated by the LEDs. The hexagonal modules are constructed with appropriate hardware to fasten them to the supporting structure behind it, and to receive the wires for electric power and other controlling electronics, which are standard. The hexagons fill in all the display space on the display board.
The main embodiment of my invention discloses modules of an appropriate shape and size, which, for the main embodiment are hexagons with sides equal to 20 cm. The main embodiment discloses six types of hexagons, which differs from each other by the distribution of the arrangement of the light emitters inside in each. There are other variations on the distribution of light emitting modules inside each module which are possible including totally random positions.
The main embodiment of my invention uses hexagonally shaped standard blocks which are populated with a plurality of individually controlled light emitters. These hexagonally shaped standard blocks can be arranged next to each other, supported by an appropriate structure behind them. The light emitters are arranged inside the standard hexagons in one of a plurality of pre-determined arrangements, which, in the main embodiment, consist of six pre-determined arrangements, as shown in
a and 3b display six regular, simple arrangements that lend to easy regular labeling and control by a microcomputer, yet they partly break the monotonous grid pattern characterized by the x-y arrangements used by prior art. In reality, the disclosed light emitting pixel arrangement is virtually as spatially organized as current light displays are, while going a long way to break the human perception of unnatural spatial organization, which disturbs human observers of the display. Each of the six pixel arrangements used and shown in
The six types of pixel organization inside each regular hexagonal pixel block is different from the others. All hexagonal blocks are of the same size, so they are capable of filling a 2-D (two dimensional) surface. This is a generally known property of the hexagons, which is one of the few regular 2-D figures that can fill all 2-D space. The differences between the six hexagons is the LED distribution over their surfaces. Close attention to the dot pattern over their surface will discern three types of hexagons with vertically arranged arrays (type v1, type v2 and type v3), and three types of hexagons with horizontally arranged arrays (type h1, type h2 and type h3), see
The pixels in each of the three types of regular hexagonal pixel blocks is arranged in a different line: horizontal, along 60 dgs with the horizontal and along 120 dgs with the horizontal. The next on this sequence would be horizontal backwards, which is also horizontal, then 240 dgs with the horizontal, which is the same as 60 dgs (backwards to it), then 300 dgs with the horizontal, which is the same as 120 dgs.
Hexagons are not the only figure which completely fills the 2-D space, the others being the equilateral triangle, the square, and the rectangle. Any of these shapes can be used for the modules. It is also possible to use modules that differ from these, as pentagons, heptagons, etc. Though these do not completely fill a 2-D space, smaller triangles could be used to fill in the open spaces between the modules. Though such an arrangement would probably be more costly than the main embodiment, it is still feasible and it offers another option for the objective of interrupting the line of light emitters.
It is also simple to use the natural scrambling inherent to the hexagonally shaped modules, as shown in
Not applicable
This application is a utility patent application based on two previously filed U.S. Provisional Patent Application Ser. No. 61/899,147 filed on 2013 Nov. 1, and 61/910,096 filed on 2013 Nov. 28, both for the same inventors as this current regular patent application, the priority and benefit of which is now claimed under 35 U.S.C. par. 119(c) and incorporated to this text by reference in its entirety, in particular its claims, description and figures.
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20150124008 A1 | May 2015 | US |
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61899147 | Nov 2013 | US | |
61910096 | Nov 2013 | US |