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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]
Algorithms used in Computer graphics. See also Category:Computer graphics data structures . Wikimedia Commons has media related to Computer graphic algorithms .
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.
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 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.
Graphics represented as a rectangular grid of pixels. Rasterization Converting vector graphics to raster graphics. This terms also denotes a common method of rendering 3D models in real time. Ray casting Rendering by casting non-recursive rays from the camera into the scene. 2D ray casting is a 2.5D rendering method. Ray marching
Java Card addresses this hardware fragmentation and specificities while retaining code portability brought forward by Java. Java Card is the tiniest of Java platforms targeted for embedded devices. Java Card gives the user the ability to program the devices and make them application specific.
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 ...