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In its simplest implementation for linear cases such as lines, the DDA algorithm interpolates values in interval by computing for each x i the equations x i = x i−1 + 1, y i = y i−1 + m, where m is the slope of the line. This slope can be expressed in DDA as follows:
Single color line drawing algorithms involve drawing lines in a single foreground color onto a background. They are well-suited for usage with monochromatic displays. The starting point and end point of the desired line are usually given in integer coordinates, so that they lie directly on the points considered by the algorithm.
The algorithm consists of drawing pairs of pixels straddling the line, each coloured according to its distance from the line. Pixels at the line ends are handled separately. Lines less than one pixel long are handled as a special case. An extension to the algorithm for circle drawing was presented by Xiaolin Wu in the book Graphics Gems II ...
Bresenham's line algorithm is a line drawing algorithm that determines the points of an n-dimensional raster that should be selected in order to form a close approximation to a straight line between two points.
Bresenham's line algorithm; Bump mapping; Calligraphic projection; Cel shading; Channel (digital image) Checkerboard rendering; Circular thresholding; Clip coordinates; Clipmap; Clipping (computer graphics) Clipping path; Collision detection; Color depth; Color gradient; Color space; Colour banding; Color bleeding (computer graphics) Color ...
Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...
However, nonplanar graphs frequently arise in applications, so graph drawing algorithms must generally allow for edge crossings. [10] The area of a drawing is the size of its smallest bounding box, relative to the closest distance between any two vertices. Drawings with smaller area are generally preferable to those with larger area, because ...
The Ramer–Douglas–Peucker algorithm, also known as the Douglas–Peucker algorithm and iterative end-point fit algorithm, is an algorithm that decimates a curve composed of line segments to a similar curve with fewer points. It was one of the earliest successful algorithms developed for cartographic generalization. It produces the most ...