computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It is a generalization...

algorithm, and one of the earliest algorithms developed in the field of computer graphics. An extension to the original algorithm called the midpoint...

LisaGraf (Atkinson independently discovered the midpoint circle algorithm for fast drawing of circles by using the sum of consecutive odd numbers), marching...

line algorithm is an example of an algorithm used to rasterize lines. Algorithms such as the midpoint circle algorithm are used to render circles onto...

antialiasing. Midpoint circle algorithm: an algorithm used to determine the points needed for drawing a circle Ramer–Douglas–Peucker algorithm: Given a 'curve'...

earliest algorithms discovered in the field of computer graphics. The midpoint circle algorithm shares some similarities to his line algorithm and is known...

algorithm for the minimum covering circle problem that runs in expected time O ( n ) {\displaystyle O(n)} , based on a linear programming algorithm of...

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...

Gragg–Bulirsch–Stoer (GBS) algorithm because of the importance of a result about the error function of the modified midpoint method, due to William B....

He developed the Bresenham's line algorithm, his most well-known invention in 1962, and the midpoint circle algorithm. He retired from 27 years of service...

system. The midpoints of the three sides and the feet of the three altitudes all lie on a single circle, the triangle's nine-point circle. The remaining...

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...

open-source project Smallest Enclosing Circle Problem – describes several algorithms for enclosing a point set, including Megiddo's linear-time algorithm...

The midpoint of the geodesic is φ = −7.07°, λ = −159.31°, α = −57.45°. A straight line drawn on a gnomonic chart is a portion of a great circle. When...

circle – Circle associated with a quadratic equation Circumscribed circle (circumcircle) Midpoint-stretching polygon Coaxal circles – Circles in two perpendicular...

the circles. Find the midpoint, M, of segment BD. Draw lines AM and CM (both in light green), connecting the segment midpoint with each of the circle centers...

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...

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...

seen in a 5 cm diameter circle of the area under pressure. The test was once part of the World Health Organization (WHO) algorithm for diagnosis of dengue...

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...

curve" feature of charts in Microsoft Excel also uses this algorithm. Because arcs of circles and ellipses cannot be exactly represented by Bézier curves...

An inversion centered at p transforms A and B into concentric circles. The midpoint of the two limiting points is the point where the radical axis of...

encapsulating linear multistep and Runge-Kutta methods Bulirsch–Stoer algorithm — combines the midpoint method with Richardson extrapolation to attain arbitrary order...

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...

These programs use a variety of algorithms to determine the color of individual pixels efficiently. The simplest algorithm for generating a representation...

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...

circle has the following property: The midpoints of parallel chords lie on a diameter. An affine transformation preserves parallelism and midpoints of...

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...

In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral. The term numerical...

number of pixels. To color any such pixel, let c {\displaystyle c} be the midpoint of that pixel. Iterate the critical point 0 under f c {\displaystyle f_{c}}...