Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra

Details Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra

2008-06-13

arxiv.org/abs/0806.2332v2

Computer Science

Computational Geometry

Accepted at the conference "17th International Meshing Roundtable", Pittsburgh, Pennsylvania, October 12-15, 2008. Will appear

Scientific paper

A completely well-centered tetrahedral mesh is a triangulation of a three dimensional domain in which every tetrahedron and every triangle contains its circumcenter 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.

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