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» On the Construction of Abstract Voronoi Diagrams
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TCS
2008
13 years 7 months ago
Anisotropic diagrams: Labelle Shewchuk approach revisited
F. Labelle and J. Shewchuk [3] have proposed a discrete definition of anisotropic Voronoi diagrams. These diagrams are parametrized by a metric field. Under mild hypotheses on the...
Jean-Daniel Boissonnat, Camille Wormser, Mariette ...
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 7 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou
PAMI
2011
12 years 10 months ago
Construction of Iso-Contours, Bisectors, and Voronoi Diagrams on Triangulated Surfaces
—In the research of computer vision and machine perception, three-dimensional objects are usually represented by 2-manifold triangular meshes M. In this paper, we present practic...
Yong-Jin Liu, Zhanqing Chen, Kai Tang
TCOS
2010
13 years 5 months ago
Constructing Two-Dimensional Voronoi Diagrams via Divide-and-Conquer of Envelopes in Space
We present a general framework for computing two-dimensional Voronoi diagrams of different classes of sites under various distance functions. Most diagrams mentioned in the paper ...
Ophir Setter, Micha Sharir, Dan Halperin
AMC
2005
117views more  AMC 2005»
13 years 7 months ago
Teleonomic entropy: measuring the phase-space of end-directed systems
We introduce a novel way of measuring the entropy of a set of values undergoing changes. Such a measure becomes useful when analyzing the temporal development of an algorithm desi...
Alexander Pudmenzky