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The no-three-in-line problem in discrete geometry asks how many points can be placed in the grid so that no three points lie on the same line. The problem concerns lines of all slopes, not only those aligned with the grid. It was introduced by Henry Dudeney in 1900. Brass, Moser, and Pach call it "one of the oldest and most extensively studied ...
6-connected pixels are neighbors to every pixel that touches one of their corners (which includes pixels that touch one of their edges) in a hexagonal grid or stretcher bond rectangular grid. There are several ways to map hexagonal tiles to integer pixel coordinates.
HVGA (Half-size VGA) screens have 480 × 320 pixels (3:2 aspect ratio), 480 × 360 pixels (4:3 aspect ratio), 480 × 272 (≈16:9 aspect ratio), or 640 × 240 pixels (8:3 aspect ratio). [citation needed] The former is used by a variety of PDA devices, starting with the Sony CLIÉ PEG-NR70 in 2002, [81] and standalone PDAs by Palm. The latter ...
Although not an official name, this term is now used to refer to 1152×864, which is the largest 4:3 array yielding less than a binary megapixel (2^20, 1048576 pixels, 1048 decimal kilopixels), thus allowing the greatest "normal" resolution at common colour depths with a standard amount of video memory (128 kB, 512 kB, 1 MB, 2 MB, etc.).
In computer graphics and digital photography, a raster graphic represents a two-dimensional picture as a rectangular matrix or grid of pixels, viewable via a computer display, paper, or other display medium. A raster image is technically characterized by the width and height of the image in pixels and by the number of bits per pixel. [1]
Formulas for the Web Mercator are fundamentally the same as for the standard spherical Mercator, but before applying zoom, the "world coordinates" are adjusted such that the upper left corner is (0, 0) and the lower right corner is ( , ): [7] = ⌊ (+) ⌋ = ⌊ ( [ (+)]) ⌋ where is the longitude in radians and is geodetic latitude in radians.
Another alternative hierarchical grid is the Quadrilateralized Spherical Cube. The 12 "base resolution pixels" of H=4, K=3 HEALPix projection may be thought of as the facets of a rhombic dodecahedron. The H=6 HEALPix has similarities to another alternative grid based on the icosahedron. [12]
A conformal map acting on a rectangular grid. Note that the orthogonality of the curved grid is retained. While vector operations and physical laws are normally easiest to derive in Cartesian coordinates, non-Cartesian orthogonal coordinates are often used instead for the solution of various problems, especially boundary value problems, such as those arising in field theories of quantum ...
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