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» Graph Voronoi Regions for Interfacing Planar Graphs
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ESA
2003
Springer
118views Algorithms» more  ESA 2003»
13 years 10 months ago
The Voronoi Diagram of Planar Convex Objects
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
Menelaos I. Karavelas, Mariette Yvinec
IROS
2009
IEEE
129views Robotics» more  IROS 2009»
13 years 11 months ago
Topological maps based on graphs of planar regions
Eduardo Montijano, Carlos Sagüés
DAGSTUHL
2007
13 years 6 months ago
Weighted Voronoi Region Algorithms for Political Districting
Automated political districting shares with electronic voting the aim of preventing electoral manipulation and pursuing an impartial electoral mechanism. Political districting can...
Bruno Simeone, Federica Ricca, Andrea Scozzari
COMGEO
2004
ACM
13 years 4 months ago
The weighted farthest color Voronoi diagram on trees and graphs
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
DCG
2010
171views more  DCG 2010»
13 years 5 months ago
Bregman Voronoi Diagrams
The Voronoi diagram of a point set is a fundamental geometric structure that partitions the space into elementary regions of influence defining a discrete proximity graph and dual...
Jean-Daniel Boissonnat, Frank Nielsen, Richard Noc...