On Hamiltonian Triangulations in Simple Polygons (Extended Abstract)

作者: Giri Narasimhan

DOI: 10.1007/3-540-63307-3_71

关键词: Simple polygonRendering (computer graphics)Point set triangulationCombinatoricsDual graphVisibility graphPitteway triangulationHamiltonian pathHamiltonian (quantum mechanics)Mathematics

摘要: An n-vertex simple polygon P is said to have a Hamiltonian Triangulation if it has triangulation whose dual graph contains path. Such triangulations are useful in fast rendering engines Computer Graphics. We give new characterization of polygons with triangulations. and use devise O(n log n)-time algorithms recognize such polygons.

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