Analysis of triangle quality measures |
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| Authors: | Philippe P Pé bay Timothy J Baker |
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| Institution: | Mechanical and Aerospace Engineering Department, E-Quad, Princeton University, New Jersey 08544 ; Mechanical and Aerospace Engineering Department, E-Quad, Princeton University, New Jersey 08544 |
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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. |
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| Keywords: | Triangulation surface triangulation triangle quality mesh quality |
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