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» Space-efficient approximate Voronoi diagrams
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WSCG
2003
163views more  WSCG 2003»
13 years 6 months ago
Constructing Approximate Voronoi Diagrams from Digital Images of Generalized Polygons and Circular Objects
In this paper we present the geometrical construction of an approximate generalized Voronoi diagram for generalized polygons and circular objects based on their minimum geometrica...
W. L. Roque, D. Doering
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...
COMPGEOM
2000
ACM
13 years 9 months ago
Fast computation of generalized Voronoi diagrams using graphics hardware
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
JGTOOLS
2006
199views more  JGTOOLS 2006»
13 years 5 months ago
Fast Approximation of High-Order Voronoi Diagrams and Distance Transforms on the GPU
We present a graphics hardware implementation of the tangent-plane algorithm for computing the kth-order Voronoi diagram of a set of point sites in image space. Correct and effici...
Ian Fischer, Craig Gotsman
CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 9 months ago
Orphan-Free Anisotropic Voronoi Diagrams
We describe conditions under which an appropriately-defined anisotropic Voronoi diagram of a set of sites in Euclidean space is guaranteed to be composed of connected cells in an...
Guillermo D. Cañas, Steven J. Gortler