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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]
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.
The algorithm selects one point p randomly and uniformly from P, and recursively finds the minimal circle containing P – {p}, i.e. all of the other points in P except p. If the returned circle also encloses p, it is the minimal circle for the whole of P and is returned. Otherwise, point p must lie on the boundary of the result circle.
An extension to the original algorithm called the midpoint circle algorithm may be used for drawing circles. While algorithms such as Wu's algorithm are also frequently used in modern computer graphics because they can support antialiasing , Bresenham's line algorithm is still important because of its speed and simplicity.
Midpoint_circle_algorithm,_radius_23.png (589 × 589 pixels, file size: 3 KB, MIME type: image/png) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
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
Thalidomide victim, right; Sen. Kefauver and President-elect Kennedy, 1960 Associated Press and Joun Rous/Associated Press. A key provision of the new law made it a crime for drug companies to promote drugs to doctors for patients with illnesses for which the drug, according to its FDA-approved label, was not intended and approved for use.
Midpoint circle algorithm: an algorithm used to determine the points needed for drawing a circle; Ramer–Douglas–Peucker algorithm: Given a 'curve' composed of line segments to find a curve not too dissimilar but that has fewer points; Shading. Gouraud shading: an algorithm to simulate the differing effects of light and colour across the ...