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» The graph Voronoi diagram with applications
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CCCG
2008
13 years 6 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
ICRA
2000
IEEE
180views Robotics» more  ICRA 2000»
13 years 9 months ago
Interactive Motion Planning Using Hardware-Accelerated Computation of Generalized Voronoi Diagrams
We present techniques for fast motion planning by using discrete approximations of generalized Voronoi diagrams, computed with graphics hardware. Approaches based on this diagram ...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
CAD
2005
Springer
13 years 5 months ago
Euclidean Voronoi diagram of 3D balls and its computation via tracing edges
Despite its important applications in various disciplines in science and engineering, the Euclidean Voronoi diagram for spheres, also known as an additively weighted Voronoi diagr...
Deok-Soo Kim, Youngsong Cho, Donguk Kim
COMPGEOM
2005
ACM
13 years 7 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin