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Computing Delaunay triangulations for comet-shaped polygons



Javier Bernal


In this paper, we present two triangulation algorithms which combined produce an algorithm for computing Delaunay triangulations for comet-shaped polygons. The first algorithm constructs in linear time a triangulation for a comet-shaped polygon. The second algorithm constructs a Delaunay triangulation for a polygon from any triangulation for the polygon. The algorithms can be used for deleting vertices in a Delaunay triangulation and for computing constrained Delaunay triangulations.
NIST Interagency/Internal Report (NISTIR) - 4716
Report Number


algorithm, comet-shaped polygon, computational complexity, computational geometry, constrained Delaunay triangulation, Voronoi diagram


Bernal, J. (1991), Computing Delaunay triangulations for comet-shaped polygons, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD, [online], (Accessed July 17, 2024)


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Created November 1, 1991, Updated November 10, 2018