KMS Of Academy of mathematics and systems sciences, CAS
Enumerating the morphologies of non-degenerate Darboux cyclides | |
Zhao, Mingyang1,2; Jia, Xiaohong1,2; Tu, Changhe3; Mourrain, Bernard4; Wang, Wenping5 | |
2019-11-01 | |
发表期刊 | COMPUTER AIDED GEOMETRIC DESIGN |
ISSN | 0167-8396 |
卷号 | 75页码:15 |
摘要 | We provide an enumeration of all possible morphologies of non-degenerate Darboux cyclides. Based on the fact that every Darboux cyclide in R-3 is the stereographic projection of the intersection surface of a sphere and a quadric in R-4, we transform the enumeration problem of morphologies of Darboux cyclides to the enumeration of the algebraic sequences that characterize the intersection of a sphere and a quadric in R-4. (C) 2019 Elsevier B.V. All rights reserved. |
关键词 | Darboux cyclides Morphologies Segre characteristic Index sequences Stereographic projection |
DOI | 10.1016/j.cagd.2019.101776 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[61872354] ; National Natural Science Foundation of China[61772318] ; Beijing Natural Science Foundation[Z190004] ; European Union[675789] |
WOS研究方向 | Computer Science ; Mathematics |
WOS类目 | Computer Science, Software Engineering ; Mathematics, Applied |
WOS记录号 | WOS:000501657000001 |
出版者 | ELSEVIER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/50431 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Jia, Xiaohong |
作者单位 | 1.Chinese Acad Sci, NCMIS, KLMM, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China 3.Shandong Univ, Sch Comp Sci & Technol, Jinan, Shandong, Peoples R China 4.INRIA Mediterranee, GALAAD, Valbonne, France 5.Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Zhao, Mingyang,Jia, Xiaohong,Tu, Changhe,et al. Enumerating the morphologies of non-degenerate Darboux cyclides[J]. COMPUTER AIDED GEOMETRIC DESIGN,2019,75:15. |
APA | Zhao, Mingyang,Jia, Xiaohong,Tu, Changhe,Mourrain, Bernard,&Wang, Wenping.(2019).Enumerating the morphologies of non-degenerate Darboux cyclides.COMPUTER AIDED GEOMETRIC DESIGN,75,15. |
MLA | Zhao, Mingyang,et al."Enumerating the morphologies of non-degenerate Darboux cyclides".COMPUTER AIDED GEOMETRIC DESIGN 75(2019):15. |
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