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» The graph Voronoi diagram with applications
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GMP
2010
IEEE
214views Solid Modeling» more  GMP 2010»
13 years 10 months ago
Efficient Computation of 3D Clipped Voronoi Diagram
The Voronoi diagram is a fundamental geometry structure widely used in various fields, especially in computer graphics and geometry computing. For a set of points in a compact 3D d...
Dong-Ming Yan, Wenping Wang, Bruno Lévy, Ya...
CAD
2006
Springer
13 years 6 months ago
Region-expansion for the Voronoi diagram of 3D spheres
Given a set of spheres in 3D, constructing its Voronoi diagram in Euclidean distance metric is not easy at all even though many mathematical properties of its structure are known....
Donguk Kim, Deok-Soo Kim
WADS
2001
Springer
105views Algorithms» more  WADS 2001»
13 years 10 months ago
Voronoi Diagrams for Moving Disks and Applications
In this paper we discuss the kinetic maintenance of the Euclidean Voronoi diagram and its dual, the Delaunay triangulation, for a set of moving disks. The most important aspect in ...
Menelaos I. Karavelas
DCG
2010
171views more  DCG 2010»
13 years 6 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...
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 6 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou