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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Algorithms for Delaunay Triangulation
verfasst von : Øyvind Hjelle, Morten Dæhlen
Erschienen in: Triangulations and Applications
Verlag: Springer Berlin Heidelberg
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Several algorithms have been developed for Delaunay triangulation based on the definitions and the theory of the previous chapter. The popularity of the Delaunay triangulation is twofold. It yields “good shaped” triangles (in the plane) and the theory, mainly based on its dual, the Voronoi diagram, is well established. Other types of triangulation, such as triangulations that are optimal in the sense of the MinMax angle criterion, are difficult to compute in reasonable time from a large number of points. In fact, the Delaunay swapping criteria, which were shown to be equivalent in Section 3.6, are the only known criteria that can be used in Lawson’s local optimization procedure (LOP) to guarantee a globally optimal triangulation.