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» Space-efficient approximate Voronoi diagrams
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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
STOC
2002
ACM
119views Algorithms» more  STOC 2002»
14 years 8 months ago
Space-efficient approximate Voronoi diagrams
Given a set S of n points in IRd , a (t, )-approximate Voronoi diagram (AVD) is a partition of space into constant complexity cells, where each cell c is associated with t represe...
Sunil Arya, Theocharis Malamatos, David M. Mount
COMGEO
2007
ACM
13 years 7 months ago
Delaunay triangulations approximate anchor hulls
Recent results establish that a subset of the Voronoi diagram of a point set that is sampled from the smooth boundary of a shape approximates the medial axis. The corresponding qu...
Tamal K. Dey, Joachim Giesen, Samrat Goswami