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» Curves with rational chord-length parametrization
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CAGD
2006
75views more  CAGD 2006»
13 years 4 months ago
Rational quadratic circles are parametrized by chord length
We show that the chord length parameter assignment is exact for circle segments in standard rational quadratic form.
Gerald E. Farin
CAGD
1998
99views more  CAGD 1998»
13 years 4 months ago
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
Martin Peternell, Helmut Pottmann
MICS
2010
107views more  MICS 2010»
13 years 3 months ago
The Newton Polygon of a Rational Plane Curve
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret...
Carlos D'Andrea, Martín Sombra
JCST
2008
90views more  JCST 2008»
13 years 4 months ago
Proper Reparametrization of Rational Ruled Surface
In this paper, we present a proper reparametrization algorithm for rational ruled surfaces. That is, for an improper rational parametrization of a ruled surface, we construct a pro...
Jia Li, Liyong Shen, Xiao-Shan Gao
AISC
1998
Springer
13 years 8 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