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Bresenham's line algorithm is named after Jack Elton Bresenham who developed it in 1962 at IBM. In 2001 Bresenham wrote: [1] I was working in the computation lab at IBM's San Jose development lab. A Calcomp plotter had been attached to an IBM 1401 via the 1407 typewriter console. [The algorithm] was in production use by summer 1962, possibly a ...
The Gupta-Sproull algorithm is based on Bresenham's line algorithm but adds antialiasing. An optimized variant of the Gupta-Sproull algorithm can be written in pseudocode as follows: DrawLine(x1, x2, y1, y2) { x = x1; y = y1; dx = x2 − x1; dy = y2 − y1; d = 2 * dy − dx; // discriminator
Bresenham's line algorithm, developed in 1962, is his most well-known innovation. It determines which points on a 2-dimensional raster should be plotted in order to form a straight line between two given points, and is commonly used to draw lines on a computer screen. It is one of the earliest algorithms discovered in the field of computer ...
As of Apr 12, 2017 the slope is still claimed to be negative when y1 > y0 (and x1>x0). This occurred in the 3rd paragraph of the Method section. The offending line was:"...(the line has a negative slope whose absolute value is less than 1)." I am correcting it.
Similar calculations are carried out to determine pixel positions along a line with negative slope. Thus, if the absolute value of the slope is less than 1, we set dx=1 if x s t a r t < x e n d {\displaystyle x_{\rm {start}}<x_{\rm {end}}} i.e. the starting extreme point is at the left.
A circle of radius 23 drawn by the Bresenham algorithm. In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It is a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]
Linear interpolation on a data set (red points) consists of pieces of linear interpolants (blue lines). Linear interpolation on a set of data points (x 0, y 0), (x 1, y 1), ..., (x n, y n) is defined as piecewise linear, resulting from the concatenation of linear segment interpolants between each pair of data points.
An extension to the algorithm for circle drawing was presented by Xiaolin Wu in the book Graphics Gems II. Just as the line drawing algorithm is a replacement for Bresenham's line drawing algorithm, the circle drawing algorithm is a replacement for Bresenham's circle drawing algorithm.