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COMPGEOM
2005
ACM

Star splaying: an algorithm for repairing delaunay triangulations and convex hulls

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Star splaying: an algorithm for repairing delaunay triangulations and convex hulls
Star splaying is a general-dimensional algorithm that takes as input a triangulation or an approximation of a convex hull, and produces the Delaunay triangulation, weighted Delaunay triangulation, or convex hull of the vertices in the input. If the input is “nearly Delaunay” or “nearly convex” in a certain sense quantified herein, and it is sparse (i.e. each input vertex adjoins only a constant number of edges), star splaying runs in time linear in the number of vertices. Thus, star splaying can be a fast first step in repairing a high-quality finite element mesh that has lost the Delaunay property after its vertices have moved in response to simulated physical forces. Star splaying is akin to Lawson’s edge flip algorithm for converting a triangulation to a Delaunay triangulation, but it works in any dimensionality. Categories and Subject Descriptors: F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical Algorithms and Problems General Terms: Algorithms, Th...
Jonathan Richard Shewchuk
Added 13 Oct 2010
Updated 13 Oct 2010
Type Conference
Year 2005
Where COMPGEOM
Authors Jonathan Richard Shewchuk
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