University of Illinois Urbana-Champaign

Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra

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

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Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra.pdf

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https://hdl.handle.net/2142/11460

Description

Title
Triangulation of Simple 3D Shapes with Well-Centered Tetrahedra
Author(s)
  • VanderZee, Evan
  • Hirani, Anil N.
  • Guoy, Damrong
Issue Date
2008-06
Keyword(s)
numerical analysis
Date of Ingest
2009-04-22T21:47:49Z
Abstract
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.
Type of Resource
text
Genre of Resource
Technical Report
Permalink
http://hdl.handle.net/2142/11460
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