2008

Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra

VanderZee, Evan, Hirani, Anil N., Guoy, Damrong

Understand

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.

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