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» Curves with rational chord-length parametrization
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AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 8 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
CAGD
2008
82views more  CAGD 2008»
13 years 8 months ago
Curves with rational chord-length parametrization
J. Sánchez-Reyes, L. Fernández-Jambr...
SAC
2010
ACM
14 years 1 months ago
Haptic manipulation of rational parametric planar cubics using shape constraints
In this paper, we show how to deform a planar rational cubic based on a local interpolation constraint while retaining the qualitative shape of the curve. An impedance-type, paral...
Christoph Fünfzig, Philippe Thomin, Gudrun Al...
CAGD
2006
73views more  CAGD 2006»
13 years 8 months ago
Rational surfaces with linear normals and their convolutions with rational surfaces
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors are dual to graphs bivariate polynomials (or rational functions). We discuss th...
Maria Lucia Sampoli, Martin Peternell, Bert Jü...
ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
14 years 1 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