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COMGEO
2004
ACM
13 years 7 months ago
The weighted farthest color Voronoi diagram on trees and graphs
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
IJON
2010
119views more  IJON 2010»
13 years 4 months ago
V-Proportion: A method based on the Voronoi diagram to study spatial relations in neuronal mosaics of the retina
The visual system plays a predominant role in the human perception. Although all components of the eye are important to perceive visual information, the retina is a fundamental pa...
Óscar Martínez Mozos, Jose Angel Bol...
CDC
2010
IEEE
108views Control Systems» more  CDC 2010»
13 years 2 months ago
Optimal pursuit of moving targets using dynamic Voronoi diagrams
We consider Voronoi-like partitions for a team of moving targets distributed in the plane, such that each set in this partition is uniquely associated with a particular moving targ...
Efstathios Bakolas, Panagiotis Tsiotras
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
ICDM
2008
IEEE
185views Data Mining» more  ICDM 2008»
14 years 2 months ago
Clustering Uncertain Data Using Voronoi Diagrams
We study the problem of clustering uncertain objects whose locations are described by probability density functions (pdf). We show that the UK-means algorithm, which generalises t...
Ben Kao, Sau Dan Lee, David W. Cheung, Wai-Shing H...