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» Curves with rational chord-length parametrization
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IEEECGIV
2008
IEEE
13 years 11 months ago
An Approach to the Feature-Based Comparisons for the Rational Curves
In image processing, the curve comparisons can be achieved by extracting the curve information from the bitmapped images. The revealed curves are represented in the forms of the s...
Chanon Aphirukmatakun, Natasha Dejdumrong
ISSAC
2001
Springer
129views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Computation of the degree of rational maps between curves
The degree of a rational map measures how often the map covers the image variety. In particular, when the rational map is a parametrization, the degree measures how often the para...
J. Rafael Sendra, Franz Winkler
JSC
2008
126views more  JSC 2008»
13 years 3 months ago
Computing singular points of plane rational curves
We compute the singular points of a plane rational curve, parametrically given, using the implicitization matrix derived from the -basis of the curve. It is shown that singularity...
Falai Chen, Wenping Wang, Yang Liu
CAGD
2006
94views more  CAGD 2006»
13 years 5 months ago
High order approximation of rational curves by polynomial curves
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lowe...
Michael S. Floater
ISSAC
2000
Springer
101views Mathematics» more  ISSAC 2000»
13 years 8 months ago
Symbolic parametrization of pipe and canal surfaces
A canal surface S, generated by a parametrized curve m(t), in R3 is the envelope of the set of spheres with radius r(t) centered at m(t). This concept generalizes the classical of...
Günter Landsmann, Josef Schicho, Franz Winkle...