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  2. Digital differential analyzer (graphics algorithm) - Wikipedia

    en.wikipedia.org/wiki/Digital_differential...

    In its simplest implementation for linear cases such as lines, the DDA algorithm interpolates values in interval by computing for each x i the equations x i = x i−1 + 1, y i = y i−1 + m, where m is the slope of the line. This slope can be expressed in DDA as follows:

  3. Line drawing algorithm - Wikipedia

    en.wikipedia.org/wiki/Line_drawing_algorithm

    Single color line drawing algorithms involve drawing lines in a single foreground color onto a background. They are well-suited for usage with monochromatic displays. The starting point and end point of the desired line are usually given in integer coordinates, so that they lie directly on the points considered by the algorithm.

  4. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    The GNU Scientific Library (or GSL) is a software library for numerical computations in applied mathematics and science. The GSL is written in C and wrappers are available for other programming languages. The GSL is part of the GNU Project and is distributed under the GNU General Public License.

  5. Digital differential analyzer - Wikipedia

    en.wikipedia.org/wiki/Digital_Differential_Analyzer

    A digital differential analyzer (DDA), also sometimes called a digital integrating computer, [1] is a digital implementation of a differential analyzer. The integrators in a DDA are implemented as accumulators , with the numeric result converted back to a pulse rate by the overflow of the accumulator.

  6. Xiaolin Wu's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Xiaolin_Wu's_line_algorithm

    The algorithm consists of drawing pairs of pixels straddling the line, each coloured according to its distance from the line. Pixels at the line ends are handled separately. Lines less than one pixel long are handled as a special case. An extension to the algorithm for circle drawing was presented by Xiaolin Wu in the book Graphics Gems II ...

  7. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    "The Bresenham Line-Drawing Algorithm", by Colin Flanagan; Abrash, Michael (1997). Michael Abrash's graphics programming black book. Albany, NY: Coriolis. pp. 654–678. ISBN 978-1-57610-174-2. A very optimized version of the algorithm in C and assembly for use in video games with complete details of its inner workings; Zingl, Alois (2016) [2012].

  8. Midpoint circle algorithm - Wikipedia

    en.wikipedia.org/wiki/Midpoint_circle_algorithm

    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]

  9. Force-directed graph drawing - Wikipedia

    en.wikipedia.org/wiki/Force-directed_graph_drawing

    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 ...