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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 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 algorithm for circle drawing was presented by Xiaolin Wu in the book Graphics Gems II ...
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 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.
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). Basic algorithms rasterize lines in one color.
Algorithms used in Computer graphics. See also Category:Computer graphics data structures . Wikimedia Commons has media related to Computer graphic algorithms .
DirecTV is calling off its planned acquisition of rival Dish after the offer was rejected by bond holders at that company. The deal was reliant on Dish bond holders agreeing to trade in the debt ...
A NURBS curve. (See also: the animated creation of a NURBS spline.) A NURBS surface. Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing curves and surfaces.