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Generalized Higher-Order Voronoi Diagrams on Polyhedral Surfaces

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2 Author(s)
Marta Fort ; Univ. de Girona, Girona ; J. Antoni Sellares

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.

Published in:

Voronoi Diagrams in Science and Engineering, 2007. ISVD '07. 4th International Symposium on

Date of Conference:

9-11 July 2007