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plot::delaunay

Compute the Delaunay triangulation of a set of points

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

plot::delaunay(L)

Description

plot::delaunay computes the Delaunay triangulation of a list of points in arbitrary dimension.

The Delaunay triangulation of a list of points is a triangulation of their convex hull such that for each edge of the triangulation, there is a circle containing the two endpoints of this edge but no other point of the list.

Environment Interactions

Although plot::delaunay accepts and returns floating-point values, the actual computations take place in hardware floating-points and are therefore not affected by the value of DIGITS.

Examples

Example 1

Delaunay triangulation does not introduce new points:

n0 := 10:
l := [[Re, Im](exp(float(2*I*PI*n)/n0)) $ n = 1.. n0]:
d := plot::delaunay(l):
plot(plot::PointList2d(l, PointSize=3),
     plot::Polygon2d(t, Closed) $ t in d)

Parameters

L

A list of points, which are given as lists of real values

Return Values

List of simplices in the dimension of the points in L, given as lists of lists of floating-point values.

Algorithms

plot::delaunay uses qhull from the Geometry Center of the University of Minnesota, see www.qhull.org.

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