KMS Of Academy of mathematics and systems sciences, CAS
| Determination and (re)parametrization of rational developable surfaces | |
| Shen Liyong1,2,3; Perez-Diaz, Sonia4 | |
| 2015-12-01 | |
| Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| ISSN | 1009-6124 |
| Volume | 28Issue:6Pages:1426-1439 |
| Abstract | 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. |
| Keyword | Parametrization proper rational developable surface reparametrization |
| DOI | 10.1007/s11424-015-3119-z |
| Language | 英语 |
| Funding Project | Beijing Nova Program[Z121104002512065] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000365875400014 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/21386 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Shen Liyong |
| Affiliation | 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 |
| 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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