Enumerating the morphologies of non-degenerate Darboux cyclides

doi:10.1016/j.cagd.2019.101776

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	Enumerating the morphologies of non-degenerate Darboux cyclides
	Zhao, Mingyang 1,2; Jia, Xiaohong 1,2; Tu, Changhe 3; Mourrain, Bernard 4; Wang, Wenping 5
	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.