Diagrames de Voronoi i grafs de Delaunay de distancies amb pesos i de distàncies el·líptiques

This work studies the feasibility of a constrained Delaunay triangulation of a set of points on the plane including directionality pointed by the ellipses associated to the points. Generalizations of the Voronoi diagram close to the object of study are presened, the weighted Voronoi diagrams, and th...

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Detalhes bibliográficos
Autor: Vigo Anglada, Marc|||0000-0001-7412-0425
Formato: informe técnico
Fecha de publicación:1999
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:catalán
OAI Identifier:oai:upcommons.upc.edu:2117/84901
Acesso em linha:https://hdl.handle.net/2117/84901
Access Level:acceso abierto
Palavra-chave:Diagrames de Voronoi
Grafs de Delaunay
Àrees temàtiques de la UPC::Informàtica::Infografia
Descrição
Resumo:This work studies the feasibility of a constrained Delaunay triangulation of a set of points on the plane including directionality pointed by the ellipses associated to the points. Generalizations of the Voronoi diagram close to the object of study are presened, the weighted Voronoi diagrams, and the resulting Delaunay triangulations are shown. The height diagram is also described and the properties of the Voronoi diagram and the Delaunay graph with elliptical distances are studied. Finally, several futur work lines are proposed to develop an algorithm which obtains a generalized Delaunay triangulation with the desired features.