Analysis of triangle quality measures

Authors:
Philippe P. Pébay;Timothy J. Baker
Affiliations:
Mechanical and Aerospace Engineering Department, E-Quad, Princeton University, New Jersey;Mechanical and Aerospace Engineering Department, E-Quad, Princeton University, New Jersey
Venue:
Mathematics of Computation
Year:
2003

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Abstract

Several of the more commonly used triangle quality measures are analyzed and compared. Proofs are provided to verify that they do exhibit the expected extremal properties. The asymptotic behavior of these measures is investigated and a number of useful results are derived. It is shown that some of the quality measures are equivalent, in the sense of displaying the same extremal and asymptotic behavior, and that it is therefore possible to achieve a concise classification of triangle quality measures.