Relationship Between Tetrahedron Shape Measures

BIT, Vol 34, pp.268-287, 1994

MESHING
RESEARCH
CORNER

Department of Computing Science, University of Alberta, Edmonton. AB, Canada T6G 2H)

Abstract
Tetrahedron shape measures are used for evaluating the quality of tetrahedra in finite element meshes. Three shape measures, the minimum solid angle, the radius ratio, and the mean ratio, are discussed in this paper. A new formula for the computation of a solid angle of tetrahedron is derived. For different shape measures..