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Generalized Higher-Order Voronoi Diagrams on Polyhedral Surfaces

We present an algorithm for computing exact shortest paths, and consequently distances, from a generalized source (point, segment, polygonal chain or polygonal region) on a possibly non-convex polyhedral surface in which polygonal chain or polygon obstacles are allowed. We also present algorithms for computing discrete Voronoi diagrams of a set of generalized sites (points, segments, polygonal chains or polygons) on a polyhedral surface with obstacles. To obtain the discrete Voronoi diagrams our algorithms, exploiting hardware graphics capabilities, compute shortest path distances defined by the sites

© 4th International Symposium on Voronoi Diagrams in Science and Engineering : 2007 : ISVD ’07, 2007, p. 74-83

IEEE

Author: Fort, Marta
Sellarès i Chiva, Joan Antoni
Date: 2007
Abstract: We present an algorithm for computing exact shortest paths, and consequently distances, from a generalized source (point, segment, polygonal chain or polygonal region) on a possibly non-convex polyhedral surface in which polygonal chain or polygon obstacles are allowed. We also present algorithms for computing discrete Voronoi diagrams of a set of generalized sites (points, segments, polygonal chains or polygons) on a polyhedral surface with obstacles. To obtain the discrete Voronoi diagrams our algorithms, exploiting hardware graphics capabilities, compute shortest path distances defined by the sites
Format: application/pdf
Citation: Fort, M., i Sellares, J.A. (2007). Generalized Higher-Order Voronoi Diagrams on Polyhedral Surfaces. 4th International Symposium on Voronoi Diagrams in Science and Engineering : 2007 : ISVD ’07, 74 - 83. Recuperat 29 setembre 2010, a http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4276107
ISBN: 0-7695-2869-4
Document access: http://hdl.handle.net/10256/3061
Language: eng
Publisher: IEEE
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1109/ISVD.2007.24
Articles publicats (D-IMA)
Is part of: © 4th International Symposium on Voronoi Diagrams in Science and Engineering : 2007 : ISVD ’07, 2007, p. 74-83
Rights: Tots els drets reservats
Subject: Algorismes computacionals
Grafs, Teoria de
Geometria computacional
Poliedres
Voronoi, Polígons de
Computer algorithms
Computational geometry
Graph theory
Polyhedra
Voronoi diagrams
Title: Generalized Higher-Order Voronoi Diagrams on Polyhedral Surfaces
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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