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AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 6 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 6 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 6 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
PG
2007
IEEE
14 years 26 days ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
TCS
2008
13 years 6 months ago
Curves and surfaces represented by polynomial support functions
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsett...
Zbynek Sír, Jens Gravesen, Bert Jüttle...