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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
CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 11 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
MFCS
1994
Springer
13 years 11 months ago
"The Big Sweep": On the Power of the Wavefront Approach to Voronoi Diagrams
We show that the wavefront approach to Voronoi diagrams (a deterministic line sweep algorithm that does not use geometric transform) can be generalized to distance measures more g...
Frank K. H. A. Dehne, Rolf Klein
JGTOOLS
2006
199views more  JGTOOLS 2006»
13 years 7 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