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Determination and (re)parametrization of rational developable surfaces

文献类型：期刊论文

作者Shen Liyong1,2,3; Perez-Diaz, Sonia4
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2015-12-01
卷号28期号:6页码:1426-1439
关键词Parametrization proper rational developable surface reparametrization
ISSN号1009-6124
DOI10.1007/s11424-015-3119-z
英文摘要The developable surface is an important surface in computer aided design, geometric modeling and industrial manufactory. It is often given in the standard parametric form, but it can also be in the implicit form which is commonly used in algebraic geometry. Not all algebraic developable surfaces have rational parametrizations. In this paper, the authors focus on the rational developable surfaces. For a given algebraic surface, the authors first determine whether it is developable by geometric inspection, and then give a rational proper parametrization in the affirmative case. For a rational parametric surface, the authors also determine the developability and give a proper reparametrization for the developable surface.
资助项目Beijing Nova Program[Z121104002512065]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000365875400014
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21385]  
专题中国科学院数学与系统科学研究院
通讯作者Shen Liyong
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
3.Chinese Acad Sci, Key Lab Big Data Min & Knowledge Management, Beijing 100190, Peoples R China
4.Univ Alcala De Henares, Dpto Fis & Matemat, E-28871 Madrid, Spain
推荐引用方式
GB/T 7714		 Shen Liyong,Perez-Diaz, Sonia. Determination and (re)parametrization of rational developable surfaces[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(6):1426-1439.
APA Shen Liyong,&Perez-Diaz, Sonia.(2015).Determination and (re)parametrization of rational developable surfaces.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(6),1426-1439.
MLA Shen Liyong,et al."Determination and (re)parametrization of rational developable surfaces".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.6(2015):1426-1439.

入库方式： OAI收割

来源：数学与系统科学研究院

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