Determination and (re)parametrization of rational developable surfaces
Shen Liyong1,2,3; Perez-Diaz, Sonia4
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
Funding ProjectBeijing Nova Program[Z121104002512065]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000365875400014
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
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.
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