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COMPGEOM
1987
ACM
13 years 8 months ago
Simplified Voronoi Diagrams
We are interested in Voronoi diagrams as a tool in robot path planning, where the search for a path in an r-dimensional space may be simplified to a search on an (r- l)-dimensional...
John F. Canny, Bruce Randall Donald
CGF
2004
127views more  CGF 2004»
13 years 5 months ago
Approximated Centroidal Voronoi Diagrams for Uniform Polygonal Mesh Coarsening
We present a novel clustering algorithm for polygonal meshes which approximates a Centroidal Voronoi Diagram construction. The clustering provides an efficient way to construct un...
Sébastien Valette, Jean-Marc Chassery
CGVR
2006
13 years 6 months ago
A Bipolar Model for Region Simplification
In this paper we introduce an algorithm for simplifying a 2D discrete region. This algorithm is based on a bipolar model of regions. Given a discrete region, we cut its Voronoi di...
Yuqing Song, Jie Shen, David Yoon
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
WADS
2009
Springer
267views Algorithms» more  WADS 2009»
13 years 10 months ago
Computing the Implicit Voronoi Diagram in Triple Precision
In a paper that considered arithmetic precision as a limited resource in the design and analysis of algorithms, Liotta, Preparata and Tamassia defined an “implicit Voronoi diagr...
David L. Millman, Jack Snoeyink