Triangulation of simple 3D shapes with well-centered tetrahedra

Evan VanderZee, Anil N. Hirani, Damrong Guoy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A completely well-centered tetrahedral mesh is a triangulation of a three dimensional domain in which every tetrahedron and every triangle contains its circum center in its interior. Such meshes have applications in scientific computing and other fields. We show how to triangulate simple domains using completely well-centered tetrahedra. The domains we consider here are space, infinite slab, infinite rectangular prism, cube, and regular tetrahedron. We also demonstrate single tetrahedra with various combinations of the properties of dihedral acuteness, 2-well-centeredness, and 3-well-centeredness.

Original languageEnglish (US)
Title of host publicationProceedings of the 17th International Meshing Roundtable, IMR 2008
PublisherKluwer Academic Publishers
Pages19-35
Number of pages17
ISBN (Print)9783540879206
DOIs
StatePublished - Jan 1 2008
Event17th International Meshing Roundtable, IMR 2008 - Pittsburgh, PA, United States
Duration: Oct 12 2008Oct 15 2008

Publication series

NameProceedings of the 17th International Meshing Roundtable, IMR 2008

Other

Other17th International Meshing Roundtable, IMR 2008
CountryUnited States
CityPittsburgh, PA
Period10/12/0810/15/08

ASJC Scopus subject areas

  • Engineering (miscellaneous)

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  • Cite this

    VanderZee, E., Hirani, A. N., & Guoy, D. (2008). Triangulation of simple 3D shapes with well-centered tetrahedra. In Proceedings of the 17th International Meshing Roundtable, IMR 2008 (pp. 19-35). (Proceedings of the 17th International Meshing Roundtable, IMR 2008). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-540-87921-3_2