Analysis of triangle quality measures

被引：51

作者：

Pébay, PP ^{[1
]}

Baker, TJ ^{[1
]}

机构：

[1] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA

来源：

MATHEMATICS OF COMPUTATION | 2003年 / 72卷 / 244期

关键词：

triangulation; surface triangulation; triangle quality; mesh quality;

D O I：

10.1090/S0025-5718-03-01485-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1817 / 1839

页数：23

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