Computing Distance Functions from Generalized Sources on Weighted Polyhedral Surfaces

We present algorithms for computing approximate distance functions and shortest paths from a generalized source (point, segment, polygonal chain or polygonal region) on a weighted non-convex polyhedral surface in which obstacles (represented by polygonal chains or polygons) are allowed. We also desc...

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Detalles Bibliográficos
Autores: Fort, Marta, Sellarès i Chiva, Joan Antoni
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/3060
Acceso en línea:http://hdl.handle.net/10256/3060
Access Level:acceso abierto
Palabra clave:Algorismes computacionals
Geometria computacional
Voronoi, Polígons de
Computer algorithms
Poliedres
Computer geometry
Voronoi diagrams
Polyhedra
Descripción
Sumario:We present algorithms for computing approximate distance functions and shortest paths from a generalized source (point, segment, polygonal chain or polygonal region) on a weighted non-convex polyhedral surface in which obstacles (represented by polygonal chains or polygons) are allowed. We also describe an algorithm for discretizing, by using graphics hardware capabilities, distance functions. Finally, we present algorithms for computing discrete k-order Voronoi diagrams