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Research and Algorithm of Constrained Delaunay Triangulation

Hai-Sheng Li

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Abstract

The prerequisites for the legal existence of boundary edge and bound ary patch in Delaunay triangulation，which is put forward in reference [1]，has been proved by exploiting the concept of Voronoi diagram and neighborhood in t hi s paper. The algorithm of constrained Delaunay triangulation is also designed an d implemented. The result further extends the theoretical basis of constrain ed D elaunay triangulation.

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What this paper is about

The prerequisites for the legal existence of boundary edge and bound ary patch in Delaunay triangulation，which is put forward in reference [1]，has been proved by exploiting the concept of Voronoi diagram and neighborhood in t hi s paper. The algorithm of constrained Delaunay triangulation is also designed an d implemented. The result further extends the theoretical basis of constrain ed D elaunay triangulation.

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Available abstract

The prerequisites for the legal existence of boundary edge and bound ary patch in Delaunay triangulation，which is put forward in reference [1]，has been proved by exploiting the concept of Voronoi diagram and neighborhood in t hi s paper. The algorithm of constrained Delaunay triangulation is also designed an d implemented. The result further extends the theoretical basis of constrain ed D elaunay triangulation.

Key concepts: Delaunay triangulation, Bowyer–Watson algorithm, Constrained Delaunay triangulation, Pitteway triangulation, Voronoi diagram, Computer science, Surface triangulation, Point set triangulation

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