TetGenLink`
TetGenLink`

TetGenDelaunay

TetGenDelaunay[points]

generates a Delaunay tetrahedralization for a 3D point set.

Details and Options

  • To use TetGenDelaunay, you first need to load it using Needs["TetGenLink`"].
  • TetGenDelaunay returns a list of points and tetrahedra.
  • TetGenDelaunay will find a tetrahedralization that connects all points.

Examples

Basic Examples  (2)

To use TetGenLink it must first be loaded:

This creates some 3D data:

You can compute the Delaunay tetrahedralization of the data with TetGenDelaunay:

The result is a list of points and tetrahedra. The list of tetrahedra is a list of four integers that refer to the coordinate positions. To visualize the tetrahedra as a wireframe, you can use a supporting function:

To use TetGenLink it must first be loaded:

Load geometry data:

To compute the Delaunay tetrahedralization of the data, use TetGenDelaunay:

Note that the points returned need not be the same as the original input data:

Duplicate coordinates are deleted:

Wolfram Research (2010), TetGenDelaunay, Wolfram Language function, https://reference.wolfram.com/language/TetGenLink/ref/TetGenDelaunay.html.

Text

Wolfram Research (2010), TetGenDelaunay, Wolfram Language function, https://reference.wolfram.com/language/TetGenLink/ref/TetGenDelaunay.html.

CMS

Wolfram Language. 2010. "TetGenDelaunay." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/TetGenLink/ref/TetGenDelaunay.html.

APA

Wolfram Language. (2010). TetGenDelaunay. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/TetGenLink/ref/TetGenDelaunay.html

BibTeX

@misc{reference.wolfram_2025_tetgendelaunay, author="Wolfram Research", title="{TetGenDelaunay}", year="2010", howpublished="\url{https://reference.wolfram.com/language/TetGenLink/ref/TetGenDelaunay.html}", note=[Accessed: 01-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_tetgendelaunay, organization={Wolfram Research}, title={TetGenDelaunay}, year={2010}, url={https://reference.wolfram.com/language/TetGenLink/ref/TetGenDelaunay.html}, note=[Accessed: 01-July-2025 ]}