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» Real Parametrization of Algebraic Curves
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91
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AISC
1998
Springer
15 years 2 months ago
Real Parametrization of Algebraic Curves
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....
J. Rafael Sendra, Franz Winkler
105
Voted
GC
2011
Springer
14 years 1 months ago
A Note on the Complexity of Real Algebraic Hypersurfaces
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
Michael Kerber, Michael Sagraloff
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
14 years 10 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
114
Voted
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
14 years 10 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
75
Voted
AAECC
2007
Springer
74views Algorithms» more  AAECC 2007»
14 years 10 months ago
Parametrization of algebraic curves defined by sparse equations
Tobias Beck, Josef Schicho