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ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
14 years 11 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
15 years 1 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
15 years 5 months 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
DCG
2010
171views more  DCG 2010»
14 years 11 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...
FCS
2006
15 years 1 months ago
A Theoretical Study of Parallel Voronoi Diagram
In this paper, we concentrate on the problem of computing a Voronoi diagram using Hypercube model of computation. The main contribution of this work is the O(log3 n) parallel algor...
Rashid Muhammad