Determines the points needed for rasterizing a circle
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]
^Donald Hearn; M. Pauline Baker (1994). Computer graphics. Prentice-Hall. ISBN 978-0-13-161530-4.
^Pitteway, M.L.V., "Algorithm for Drawing Ellipses or Hyperbolae with a Digital Plotter", Computer J., 10(3) November 1967, pp 282–289
computer graphics, the midpointcirclealgorithm is an algorithm used to determine the points needed for rasterizing a circle. It's a generalization of...
Bresenham's line algorithm is an example of an algorithm used to rasterize lines. Algorithms such as Midpointcirclealgorithm are used to render circle onto a...
line algorithm: algorithm for line antialiasing. Midpointcirclealgorithm: an algorithm used to determine the points needed for drawing a circle Ramer–Douglas–Peucker...
earliest algorithms discovered in the field of computer graphics. The midpointcirclealgorithm shares some similarities to his line algorithm and is known...
circle has the following property: The midpoints of parallel chords lie on a diameter. An affine transformation preserves parallelism and midpoints of...
LisaGraf Atkinson independently discovered the midpointcirclealgorithm for fast drawing of circles by using the sum of consecutive odd numbers. Marching...
vertices and then consists of two main operations. The midpoint of a segment with non-empty diametral circles is inserted into the triangulation. The circumcenter...
open-source project Smallest Enclosing Circle Problem – describes several algorithms for enclosing a point set, including Megiddo's linear-time algorithm...
the curve is more likely to fall near the midpoint (it's even guaranteed to exactly run through the midpoint on a first degree polynomial). Low-order polynomials...
These programs use a variety of algorithms to determine the color of individual pixels efficiently. The simplest algorithm for generating a representation...
Construct the point M as the midpoint of O and B. Draw a circle centered at M through the point A. This is the Carlyle circle for x2 + x − 1 = 0. Mark its...
Nagel point of the triangle. A cleaver of a triangle is a segment from the midpoint of a side of a triangle to the opposite side such that the perimeter is...
and any segment connecting the circle's center (the midpoint of a diameter) to a point on the circle is called a radius. In an ellipse, the longest chord...
to the next step of the algorithm by calculating the midpoint of the interval, determining whether the square of the midpoint is greater than or less...
encapsulating linear multistep and Runge-Kutta methods Bulirsch–Stoer algorithm — combines the midpoint method with Richardson extrapolation to attain arbitrary order...
centroid and the midpoint of the opposite side. The midpoints of the three sides and the feet of the three altitudes all lie on a single circle, the triangle's...
In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral. The term numerical...
include: Constructing the perpendicular bisector from a segment Finding the midpoint of a segment. Drawing a perpendicular line from a point to a line. Bisecting...
following nine points are concyclic on what is called the nine-point circle: the midpoints of the three edges, the feet of the three altitudes, and the points...
graph minimum spanning tree algorithm such as the Prim–Dijkstra–Jarník algorithm or Borůvka's algorithm on it. These algorithms can be made to take time...
opaque set for the circle has length at least π {\displaystyle \pi } and at most 4.7998 {\displaystyle 4.7998} . Several published algorithms claiming to find...