Proper reparametrization of rational ruled surface

Authors:
Jia Li;Li-Yong Shen;Xiao-Shan Gao
Affiliations:
Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing, China;Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing, China;Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing, China
Venue:
Journal of Computer Science and Technology
Year:
2008

Citing 7
Cited 4

Improperly parametrized rational curves

Computer Aided Geometric Design
Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants

Computer Aided Geometric Design
Implicitization of rational parametric equations

Journal of Symbolic Computation
The mu-basis of a rational ruled surface

Computer Aided Geometric Design
Revisiting the µ-basis of a rational ruled surface

Journal of Symbolic Computation
On the problem of proper reparametrization for rational curves and surfaces

Computer Aided Geometric Design
Inherently improper surface parametric supports

Computer Aided Geometric Design

Proper real reparametrization of rational ruled surfaces

Computer Aided Geometric Design
Collision and intersection detection of two ruled surfaces using bracket method

Computer Aided Geometric Design
Homeomorphic approximation of the intersection curve of two rational surfaces

Computer Aided Geometric Design
Characterization of rational ruled surfaces

Journal of Symbolic Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

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 proper rational parametrization for the same surface. The algorithm consists of three steps. We first reparametrize the improper rational parametrization caused by improper supports. Then the improper rational parametrization is transformed to a new one which is proper in one of the parameters. Finally, the problem is reduced to the proper reparametrization of planar rational algebraic curves.