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» Computing Rational Bisectors
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SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
CGA
1999
13 years 4 months ago
Computing Rational Bisectors
Gershon Elber, Myung-Soo Kim
SMI
2006
IEEE
141views Image Analysis» more  SMI 2006»
13 years 10 months ago
Degree Reduction for NURBS Symbolic Computation on Curves
Symbolic computation of NURBS plays an important role in many areas of NURBS-based geometric computation and design. However, any nontrivial symbolic computation, especially when ...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen
COMPGEOM
1997
ACM
13 years 8 months ago
The Area Bisectors of a Polygon and Force Equilibria in Programmable Vector Fields
We consider the family of area bisectors of a polygon possibly with holes in the plane. We say that two bisectors of a polygon P are combinatorially distinct if they induce di e...
Karl-Friedrich Böhringer, Bruce Randall Donal...
SMA
2005
ACM
133views Solid Modeling» more  SMA 2005»
13 years 10 months ago
Precise Voronoi cell extraction of free-form rational planar closed curves
We present an algorithm for generating the Voronoi cells for a set of rational C1 -continuous planar closed curves, which is precise up to machine precision. Initially, bisectors ...
Iddo Hanniel, Ramanathan Muthuganapathy, Gershon E...