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PAMI
2011
12 years 8 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
CAD
2006
Springer
13 years 5 months ago
Region-expansion for the Voronoi diagram of 3D spheres
Given a set of spheres in 3D, constructing its Voronoi diagram in Euclidean distance metric is not easy at all even though many mathematical properties of its structure are known....
Donguk Kim, Deok-Soo Kim
WADS
2009
Springer
317views Algorithms» more  WADS 2009»
13 years 12 months ago
Shortest Path Problems on a Polyhedral Surface
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
Atlas F. Cook, Carola Wenk
FCS
2006
13 years 6 months ago
A Theoretical Study of Parallel Voronoi Diagram
In this paper, we concentrate on the problem of computing a Voronoi diagram using Hypercube model of computation. The main contribution of this work is the O(log3 n) parallel algor...
Rashid Muhammad
WADS
2001
Springer
105views Algorithms» more  WADS 2001»
13 years 9 months ago
Voronoi Diagrams for Moving Disks and Applications
In this paper we discuss the kinetic maintenance of the Euclidean Voronoi diagram and its dual, the Delaunay triangulation, for a set of moving disks. The most important aspect in ...
Menelaos I. Karavelas