TriangleDelaunay

TriangleDelaunay[points]

generates a Delaunay triangulation for a 2D point set.

Details and Options

To use TriangleDelauney, you first need to load it using Needs["TriangleLink`"].
TriangleDelauney returns a list of points and triangles.
TriangleDelauney finds a triangulation that connects all points.
At least 3 points need to be given.
Points must not be colinear.

To use TriangleLink, it must first be loaded:

Wolfram Language code: Needs["TriangleLink`"]

This creates some 3D data:

Wolfram Language code: data2D = RandomReal[{0, 1}, {100, 2}];

You can compute the Delaunay triangulation of the data with TriangleDelaunay:

Wolfram Language code: {pts, triangle} = TriangleDelaunay[data2D];

Wolfram Language code: Graphics[ {EdgeForm[LightDarkSwitched[Black, White]], FaceForm[], GraphicsComplex[pts, Polygon[triangle]]}]

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