Parametrization of a rational developable surface using the μ-basis

CHEN Xiao-Hua; CHEN Yu-Fu; SHEN Li-Yong

doi:10.7523/j.issn.2095-6134.2012.3.001

Journal of University of Chinese Academy of Sciences >

2012 >Issue 3: 289 - 293

DOI: https://doi.org/10.7523/j.issn.2095-6134.2012.3.001

Research Articles

Parametrization of a rational developable surface using the μ-basis

CHEN Xiao-Hua ,
CHEN Yu-Fu ,
SHEN Li-Yong

Expand

School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China

Received date: 2011-01-14

Revised date: 2011-04-13

Online published: 2012-05-15

Supported by

Supported by National Natural Science Fund of China(10901163),and the President Fund of GUCAS

Fold

Abstract

Finding parametrization of a given curve or surface is an essential problem in CAGD and CG. It is still open to design an algorithm for a general given curve or surface. In this paper, we focus on rational developable surfaces which are widely used in manufacturing.

Key words： parametrization; μ-basis; zero decomposition

Cite this article

CHEN Xiao-Hua , CHEN Yu-Fu , SHEN Li-Yong . Parametrization of a rational developable surface using the μ-basis[J]. Journal of University of Chinese Academy of Sciences, 2012 , (3) : 289 -293 . DOI: 10.7523/j.issn.2095-6134.2012.3.001

References

[1] Chen F,Shen L,Deng J.Implicitization and parametrization of quadractic and cubic surfaces by μ-bases[J].Computing,2006,5:131-142.
[2] 彭家贵,陈卿. 微分几何[M]. 北京:高等教育出版社,2002.
[3] Deng J, Chen F, Shen L. Computing μ-bases of rational curves and surfaces using polynomial matrix factorization //Proceeding of ISSAC. 2005: 132-139.
[4] Chen F, Zheng J, Sederberg T W. The μ-basis of a rational ruled surface[J]. Computer Aided Geometric Design, 2001, 18: 61-72.
[5] Goldman Ron. Curvature formulas for implicit curves and surfaces[J]. Computer Aided Geometric Design, 2005, 22: 632-658.
[6] 吴文俊. 数学机械化[M]. 北京:科学出版社,2003.

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article

References