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94
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AAECC
2007
Springer
74views Algorithms» more  AAECC 2007»
15 years 1 months ago
Parametrization of algebraic curves defined by sparse equations
Tobias Beck, Josef Schicho
CAGD
2010
118views more  CAGD 2010»
15 years 1 months ago
Topology of 2D and 3D rational curves
In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the p...
Juan Gerardo Alcázar, Gema María D&i...
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
15 years 1 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
ICASSP
2011
IEEE
14 years 4 months ago
Sampling on locally defined principal manifolds
We start with a locally defined principal curve definition for a given probability density function (pdf) and define a pairwise manifold score based on local derivatives of the...
Erhan Bas, Deniz Erdogmus
77
Voted
ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
15 years 6 months ago
Rational general solutions of algebraic ordinary differential equations
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
Ruyong Feng, Xiao-Shan Gao