CSpace
Determination and (re)parametrization of rational developable surfaces
Shen Liyong1,2,3; Perez-Diaz, Sonia4
2015-12-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume28Issue:6Pages:1426-1439
AbstractThe 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.
KeywordParametrization proper rational developable surface reparametrization
DOI10.1007/s11424-015-3119-z
Language英语
Funding ProjectBeijing Nova Program[Z121104002512065]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000365875400014
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21386
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Shen Liyong]'s Articles
[Perez-Diaz, Sonia]'s Articles
Baidu academic
Similar articles in Baidu academic
[Shen Liyong]'s Articles
[Perez-Diaz, Sonia]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Shen Liyong]'s Articles
[Perez-Diaz, Sonia]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.