Title
Enumerating the morphology of non-degenerate Darboux cyclides
Abstract
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
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 Zhao12411.85
Xiaohong Jia241.91
Changhe Tu328834.47
Bernard Mourrain41074113.70
Wenping Wang52491176.19