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AAECC
2007
Springer
74views Algorithms» more  AAECC 2007»
13 years 5 months ago
Parametrization of algebraic curves defined by sparse equations
Tobias Beck, Josef Schicho
CAGD
2010
118views more  CAGD 2010»
13 years 5 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»
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
ICASSP
2011
IEEE
12 years 9 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
ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
13 years 10 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