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COMPGEOM
1994
ACM
13 years 11 months ago
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
Pankaj K. Agarwal, Mark de Berg, Jirí Matou...
CCCG
2006
13 years 9 months ago
(Approximate) Conic Nearest Neighbors and the induced Voronoi Diagram
For a given point set in Euclidean space we consider the problem of finding (approximate) nearest neighbors of a query point but restricting only to points that lie within a fixed...
Stefan Funke, Theocharis Malamatos, Domagoj Matije...
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
CCCG
2001
13 years 9 months ago
Line voronoi diagram based interpolation and application to digital terrain modelling
Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. In an earlier paper, we have ...
Francois Anton, Darka Mioc, Christopher M. Gold
TVCG
2008
125views more  TVCG 2008»
13 years 7 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...