Examples of different pixel geometries in flat panel displays, and their sub-pixel placements. (a) RGB vertical stripe display, (b) RGB delta, (c) VPX (with three subpixels/pixels), and (d) VPW (with four subpixels/pixels). [9]

Examples of different pixel geometries in flat panel displays, and their sub-pixel placements. (a) RGB vertical stripe display, (b) RGB delta, (c) VPX (with three subpixels/pixels), and (d) VPW (with four subpixels/pixels). [9]

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Resolution in a projected display is traditionally defined by the number of pixels in the projector's spatial light modulator (SLM). In recent years, different techniques that increase the resolution on the screen above the number of SLM pixels have gained popularity. In one such technique, called pixel‐shifting or shifted‐superimposition, the disp...

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... other displays may have different pixel geometry, for instance flat panels with subpixel rendering where colors are adjacent to one another and arranged in a specific pattern. Even though each pixel in Figure 2 [9] is made up of a red, green and blue sub-pixel, those colored subpixels may be individually controlled to form different pixel pairs to increase the apparent resolution when needed. ...

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... In the usual RGB coloring scheme, a pixel may be built up by three components (subpixels) according to the three basic colors. Fig. 4 shows three usual solutions for the square grid [10] for arrangement of the subpixels associated to colors red, green and blue, respectively. When hexagonal imaging is used, the three components could be three tiles, rhombuses of our grid, see Fig. 4 , right. ...
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In this paper, we investigate digital geometry on the rhombille tiling, D(6,3,6,3), that is the dual of the semi-regular tiling called hexadeltille T(6,3,6,3) tiling and also known as trihexagonal tiling. In fact, this tiling can be seen as an oblique mesh of the cubic grid giving practical importance to this specific grid both in image processing and graphics. The properties of the coordinate systems used to address the tiles are playing crucial roles in the simplicity of various algorithms and mathematical formulae of digital geometry that allow to work on the grid in image processing, image analysis and computer graphics, thus we present a symmetric coordinate system. This coordinate system has a strong relation to topological/combinatorial coordinate system of the cubic grid. It is an interesting fact that greedy shortest path algorithm may not be used on this grid, despite to this, we present algorithm to provide a minimal-length path between each pair of tiles, where paths are defined as sequences of neighbor tiles (those are considered to be neighbors which share a side). We also prove closed formula for computing the digital, i.e., path-based distance, the length (the number of steps) of a/the shortest path(s). Some example pictures on this grid are also presented, as well as its possible application as pixel geometry for color images and videos on the hexagonal grid.