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» The Bisector Surface of Rational Space Curves
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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
TOG
1998
129views more  TOG 1998»
13 years 4 months ago
The Bisector Surface of Rational Space Curves
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
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...
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 4 months ago
A predictor-corrector-type technique for the approximate parameterization of intersection curves
Abstract We describe a method to approximate a segment of the intersection curve of two implicitly defined surfaces by a rational parametric curve. Starting from an initial soluti...
Bert Jüttler, Pavel Chalmovianský