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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]
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.
The Bresenham Line-Drawing Algorithm by Colin Flanagan; National Institute of Standards and Technology page on Bresenham's algorithm; Calcomp 563 Incremental Plotter Information; Bresenham Algorithm in several programming languages; The Beauty of Bresenham’s Algorithm — A simple implementation to plot lines, circles, ellipses and Bézier curves
Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...
Fitting of a noisy curve by an asymmetrical peak model, with an iterative process (Gauss–Newton algorithm with variable damping factor α).Curve fitting [1] [2] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [3] possibly subject to constraints.
The Rytz’s axis construction is a basic method of descriptive geometry to find the axes, the semi-major axis and semi-minor axis and the vertices of an ellipse, starting from two conjugated half-diameters. If the center and the semi axis of an ellipse are determined the ellipse can be drawn using an ellipsograph or by hand (see ellipse).
Here is a test to check whether a particular program is continuous: Construct the orthocenter of triangle and three midpoints (say A', B' C' ) between vertices and orthocenter. Construct a circumcircle of A'B'C' . This is the nine-point circle, it intersects each side of the original triangle at two points: the base of altitude and midpoint ...
pyecm, a python implementation of ECM. Distributed computing project yoyo@Home Subproject ECM is a program for Elliptic Curve Factorization which is used to find factors for different kinds of numbers. Lenstra Elliptic Curve Factorization algorithm source code Simple C and GMP Elliptic Curve Factorization Algorithm source code.