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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]
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.
Algorithms used in Computer graphics. See also Category:Computer graphics data structures . Wikimedia Commons has media related to Computer graphic algorithms .
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.
In pseudocode, this algorithm would look as follows. The algorithm does not use complex numbers and manually simulates complex-number operations using two real numbers, for those who do not have a complex data type. The program may be simplified if the programming language includes complex-data-type operations.
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: Jerry R. Van Aken: An Efficient Ellipse-Drawing Algorithm. IEEE Computer Graphics and Applications 4(9): 24-35 (1984) Note that use of the midpoint is an essential part of the method.
In geometry, the Steiner inellipse, [1] midpoint inellipse, or midpoint ellipse of a triangle is the unique ellipse inscribed in the triangle and tangent to the sides at their midpoints. It is an example of an inellipse .
There are several fast and simple bounding sphere construction algorithms with a high practical value in real-time computer graphics applications. [ 1 ] In statistics and operations research , the objects are typically points, and generally the sphere of interest is the minimal bounding sphere , that is, the sphere with minimal radius among all ...