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Enumerating the morphologies of non-degenerate Darboux cyclides

文献类型：期刊论文

作者Zhao, Mingyang4,5; Jia, Xiaohong4,5; Tu, Changhe2; Mourrain, Bernard1; Wang, Wenping3
刊名COMPUTER AIDED GEOMETRIC DESIGN
出版日期2019-11-01
卷号75页码:15
关键词Darboux cyclides Morphologies Segre characteristic Index sequences Stereographic projection
ISSN号0167-8396
DOI10.1016/j.cagd.2019.101776
英文摘要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.
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
语种英语
WOS记录号WOS:000501657000001
出版者ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50430]  
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.INRIA Mediterranee, GALAAD, Valbonne, France
2.Shandong Univ, Sch Comp Sci & Technol, Jinan, Shandong, Peoples R China
3.Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China
4.Chinese Acad Sci, NCMIS, KLMM, Acad Math & Syst Sci, Beijing, Peoples R China
5.Univ Chinese Acad Sci, Beijing, 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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来源：数学与系统科学研究院

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