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» The graph Voronoi diagram with applications
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COMPGEOM
1993
ACM
13 years 11 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas
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
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 ...
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