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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.
The algorithm described on this page does not sound like the midpoint circle drawing algorithm, and in fact there is barely any element of "midpoint" in the algorithm! A good description of what I think is the correct midpoint circle drawing algorithm (in its more general form for ellipses) is given in this paper:
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
Turkey Cheese Ball. Even if you're not serving turkey this Thanksgiving doesn't mean you can't get in on the theme. Enter: this adorable cheeseball.We used carrots, pecans, pretzels, and bell ...
Raskin invited Atkinson to visit him at Apple Computer; Steve Jobs persuaded him to join the company immediately as employee No. 51, and Atkinson never finished his PhD. [3] [4] Atkinson was the principal designer and developer of the graphical user interface (GUI) of the Apple Lisa and, later, one of the first thirty members of the original Apple Macintosh development team, [5] and was the ...
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.