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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's a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]
The Bresenham Line-Drawing Algorithm by Colin Flanagan; National Institute of Standards and Technology page on Bresenham's algorithm; Calcomp 563 Incremental Plotter Information; Bresenham Algorithm in several programming languages; The Beauty of Bresenham's Algorithm – A simple implementation to plot lines, circles, ellipses and Bézier curves
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.
Two rasterized lines. The colored pixels are shown as circles. Above: monochrome screening; below: Gupta-Sproull anti-aliasing; the ideal line is considered here as a surface. In computer graphics, a line drawing algorithm is an algorithm for approximating a line segment on discrete graphical media, such as pixel-based displays and printers.
Much more compact way of drawing grid: 16:56, 13 September 2009: 282 × 282 (21 KB) ... Midpoint circle algorithm (also known as Bresenham's circle algorithm).
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The midpoint circle algorithm shares some similarities to his line algorithm and is known as Bresenham's circle algorithm. [3] [4] Ph.D., Stanford University, 1964; MSIE, Stanford University, 1960; BSEE, University of New Mexico, 1959