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» Rational Pythagorean-hodograph space curves
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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...
TOG
1998
129views more  TOG 1998»
13 years 4 months ago
The Bisector Surface of Rational Space Curves
Gershon Elber, Myung-Soo Kim
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 5 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
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
CAGD
2004
121views more  CAGD 2004»
13 years 4 months ago
A conjecture on tangent intersections of surface patches
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
Thomas W. Sederberg, Jianmin Zheng, Xiaowen Song