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 | |
发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
卷号 | 28期号:6页码:1426-1439 |
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. |
关键词 | Parametrization proper rational developable surface reparametrization |
DOI | 10.1007/s11424-015-3119-z |
语种 | 英语 |
资助项目 | Beijing Nova Program[Z121104002512065] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000365875400014 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/21386 |
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. |
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