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» Curves with rational chord-length parametrization
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CAGD
2010
118views more  CAGD 2010»
13 years 8 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...
CAGD
2004
141views more  CAGD 2004»
13 years 8 months ago
Almost rotation-minimizing rational parametrization of canal surfaces
Almost rotation minimizing parametrization of the canal surface is given. The basic building block of our approach is the curve approximation scheme that enables us to construct a...
Hyeong In Choi, Song-Hwa Kwon, Nam-Sook Wee
AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 8 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
CAGD
2004
136views more  CAGD 2004»
13 years 8 months ago
Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
JZUSC
2010
129views more  JZUSC 2010»
13 years 7 months ago
Representing conics by low degree rational DP curves
: A DP curve is a new kind of parametric curve defined by Delgado and Peña (2003); it has very good properties when used in both geometry and algebra, i.e., it is shape preserving...
Qian-qian Hu, Guo-jin Wang