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» On the Construction of Abstract Voronoi Diagrams
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ICPP
2006
IEEE
14 years 1 months ago
A Coarse Grained Parallel Algorithm for Hausdorff Voronoi Diagrams
We present the first parallel algorithm for building a Hausdorff Voronoi diagram (HVD). Our algorithm is targeted towards cluster computing architectures and computes the Hausdor...
Frank K. H. A. Dehne, Anil Maheshwari, Ryan Taylor
ICDE
2010
IEEE
874views Database» more  ICDE 2010»
14 years 7 months ago
UV-Diagram: A Voronoi Diagram for Uncertain Data
The Voronoi diagram is an important technique for answering nearest-neighbor queries for spatial databases. In this paper, we study how the Voronoi diagram can be used on uncertain...
Reynold Cheng, Xike Xie, Man Lung Yiu, Jinchuan Ch...
CAD
2006
Springer
13 years 7 months ago
A sweepline algorithm for Euclidean Voronoi diagram of circles
Presented in this paper is a sweepline algorithm to compute the Voronoi diagram of a set of circles in a two-dimensional Euclidean space. The radii of the circles are non-negative...
Li Jin, Donguk Kim, Lisen Mu, Deok-Soo Kim, Shi-Mi...
CGF
2004
127views more  CGF 2004»
13 years 7 months ago
Approximated Centroidal Voronoi Diagrams for Uniform Polygonal Mesh Coarsening
We present a novel clustering algorithm for polygonal meshes which approximates a Centroidal Voronoi Diagram construction. The clustering provides an efficient way to construct un...
Sébastien Valette, Jean-Marc Chassery
COMPGEOM
2000
ACM
13 years 11 months ago
Delaunay triangulations and Voronoi diagrams for Riemannian manifolds
For a sufficiently dense set of points in any closed Riemannian manifold, we prove that a unique Delannay triangulation exists. This triangulation has the same properties as in Eu...
Greg Leibon, David Letscher