There are simple and robust refinements (almost) as good as Delaunay

Alberto Márquez, Auxiliadora Moreno-González, Ángel Plaza and José P. Suárez

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 106, issue C, 84-94

Abstract: A new edge-based partition for triangle meshes is presented, the Seven Triangle Quasi-Delaunay partition (7T-QD). The proposed partition joins together ideas of the Seven Triangle Longest-Edge partition (7T-LE), and the classical criteria for constructing Delaunay meshes. The new partition performs similarly compared to the Delaunay triangulation (7T-D) with the benefit of being more robust and with a cheaper cost in computation. It will be proved that in most of the cases the 7T-QD is equal to the 7T-D. In addition, numerical tests will show that the difference on the minimum angle obtained by the 7T-QD and by the 7T-D is negligible.

Keywords: Longest-edge; Edge-refinement; Delaunay (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:106:y:2014:i:c:p:84-94

DOI: 10.1016/j.matcom.2012.06.001

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