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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 is a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]
It is one of the earliest algorithms discovered in the field of computer graphics. 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
Bresenham's line algorithm is a line drawing algorithm that determines the ... 10.1145/359423.359432. – also Technical Report 1964 Jan-27 -11- Circle Algorithm TR ...
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.
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. On such media, line drawing requires an approximation (in nontrivial cases).
English: An illustration of two octants of the w:Midpoint circle algorithm (also known as Bresenham's circle algorithm). Vector version of public domain image w:File:Bresenham_circle3.png on English Wikipedia.
When a circular arc is to be drawn into a raster image, the preferred method is some variation of Bresenham's circle algorithm. Evaluation at the special parameter values 0 and 1 trivially yields p 0 and p 1 , respectively; and bisection, evaluation at 1 / 2 , simplifies to ( p 0 + p 1 )/2 , normalized.
The first corner detection algorithm based on the AST is FAST (features from accelerated segment test). [29] Although can in principle take any value, FAST uses only a value of 3 (corresponding to a circle of 16 pixels circumference), and tests show that the best results are achieved with being 9.