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TCS
2008
13 years 7 months ago
Anisotropic diagrams: Labelle Shewchuk approach revisited
F. Labelle and J. Shewchuk [3] have proposed a discrete definition of anisotropic Voronoi diagrams. These diagrams are parametrized by a metric field. Under mild hypotheses on the...
Jean-Daniel Boissonnat, Camille Wormser, Mariette ...
ICRA
2000
IEEE
180views Robotics» more  ICRA 2000»
13 years 12 months ago
Interactive Motion Planning Using Hardware-Accelerated Computation of Generalized Voronoi Diagrams
We present techniques for fast motion planning by using discrete approximations of generalized Voronoi diagrams, computed with graphics hardware. Approaches based on this diagram ...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 7 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
CCCG
2008
13 years 9 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
COMPGEOM
2003
ACM
14 years 24 days ago
Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation
We introduce anisotropic Voronoi diagrams, a generalization of multiplicatively weighted Voronoi diagrams suitable for generating guaranteed-quality meshes of domains in which lon...
François Labelle, Jonathan Richard Shewchuk