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ISVD
2007
IEEE
13 years 11 months ago
Computing the 3D Voronoi Diagram Robustly: An Easy Explanation
Many algorithms exist for computing the 3D Voronoi diagram, but in most cases they assume that the input is in general position. Because of the many degeneracies that arise in 3D ...
Hugo Ledoux
CAD
2006
Springer
13 years 4 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
TVCG
2008
125views more  TVCG 2008»
13 years 4 months ago
Generic Remeshing of 3D Triangular Meshes with Metric-Dependent Discrete Voronoi Diagrams
In this paper, we propose a generic framework for 3D surface remeshing. Based on a metric-driven Discrete Voronoi Diagram construction, our output is an optimized 3D triangular mes...
Sébastien Valette, Jean-Marc Chassery, R&ea...
ICIP
2003
IEEE
13 years 10 months ago
K-Voronoi diagrams computing in arbitrary domains
We propose a novel algorithm to compute Voronoi diagrams of order k in arbitrary 2D and 3D domains. The algorithm is based on a fast ordered propagation distance transformation ca...
Rubén Cárdenes, Simon K. Warfield, A...
SODA
2004
ACM
111views Algorithms» more  SODA 2004»
13 years 6 months ago
Almost-Delaunay simplices: nearest neighbor relations for imprecise points
Delaunay tessellations and Voronoi diagrams capture proximity relationships among sets of points in any dimension. When point coordinates are not known exactly, as in the case of ...
Deepak Bandyopadhyay, Jack Snoeyink