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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 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.
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
Here's how to distinguish "sundowning"—agitation or confusion later in the day in dementia patients—from typical aging, from doctors who treat older adults.
Some of Atkinson's noteworthy contributions to the field of computing include Macintosh QuickDraw and Lisa LisaGraf (Atkinson independently discovered the midpoint circle algorithm for fast drawing of circles by using the sum of consecutive odd numbers), [2] Marching ants, the double-click, Menu bar, the selection lasso, MacPaint , HyperCard ...
Police say a TikTok video post has led to the capture of a Florida man who was on the run for more than three years after he allegedly lured his estranged girlfriend to a cemetery where he killed her.
A burglar broke into an Upper West Side apartment and stole a safe containing nearly $400,000 in cash and jewelry early Thursday, cops said.