Abstract | ||
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We provide an enumeration of all possible morphologies of non-degenerate Darboux cyclides. Based on the fact that every Darboux cyclide in R3 is the stereographic projection of the intersection surface of a sphere and a quadric in R4, 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 R4. |
Year | DOI | Venue |
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2019 | 10.1016/j.cagd.2019.101776 | Computer Aided Geometric Design |
Keywords | Field | DocType |
Darboux cyclides,Morphologies,Segre characteristic,Index sequences,Stereographic projection | Degenerate energy levels,Topology,Algebraic number,Enumeration,Pure mathematics,Stereographic projection,Quadric,Mathematics | Journal |
Volume | ISSN | Citations |
75 | 0167-8396 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mingyang Zhao | 1 | 24 | 11.85 |
Xiaohong Jia | 2 | 4 | 1.91 |
Changhe Tu | 3 | 288 | 34.47 |
Bernard Mourrain | 4 | 1074 | 113.70 |
Wenping Wang | 5 | 2491 | 176.19 |