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Enumerating the morphologies of non-degenerate Darboux cyclides
Zhao, Mingyang1,2; Jia, Xiaohong1,2; Tu, Changhe3; Mourrain, Bernard4; Wang, Wenping5
2019-11-01
Source PublicationCOMPUTER AIDED GEOMETRIC DESIGN
ISSN0167-8396
Volume75Pages:15
AbstractWe 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.
KeywordDarboux cyclides Morphologies Segre characteristic Index sequences Stereographic projection
DOI10.1016/j.cagd.2019.101776
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[61872354] ; National Natural Science Foundation of China[61772318] ; Beijing Natural Science Foundation[Z190004] ; European Union[675789]
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000501657000001
PublisherELSEVIER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50431
Collection中国科学院数学与系统科学研究院
Corresponding AuthorJia, Xiaohong
Affiliation1.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
Recommended Citation
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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