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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]
Bresenham's line algorithm, developed in 1962, is his most well-known innovation. It determines which points on a 2-dimensional raster should be plotted in order to form a straight line between two given points, and is commonly used to draw lines on a computer screen.
"The Bresenham Line-Drawing Algorithm", by Colin Flanagan; Abrash, Michael (1997). Michael Abrash's graphics programming black book. Albany, NY: Coriolis. pp. 654–678. ISBN 978-1-57610-174-2. A very optimized version of the algorithm in C and assembly for use in video games with complete details of its inner workings; Zingl, Alois (2016) [2012].
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.
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Wu's algorithm is comparatively fast, but is still slower than Bresenham's algorithm. The algorithm consists of drawing pairs of pixels straddling the line, each coloured according to its distance from the line. Pixels at the line ends are handled separately. Lines less than one pixel long are handled as a special case. An extension to the ...
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 ...
I'd like to note that these line drawing algorithms posted by PrisonerOfPain and the Bresenham's line algorithm discussed in the article will not even work for some lines going right down. Here is an example, line start at [1,1] and ends at [3, 25] the line is going right down(in the raster coordinate system), as you will see you'll loop only 2 ...