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Article: Enumerating the morphologies of non-degenerate Darboux cyclides

TitleEnumerating the morphologies of non-degenerate Darboux cyclides
Authors
KeywordsDarboux cyclides
Morphologies
Segre characteristic
Index sequences
Stereographic projection
Issue Date2019
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cagd
Citation
Computer Aided Geometric Design, 2019, v. 75, p. article no. 101776 How to Cite?
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.
Persistent Identifierhttp://hdl.handle.net/10722/294268
ISSN
2020 Impact Factor: 1.382
2015 SCImago Journal Rankings: 1.024
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhao, M-
dc.contributor.authorJia, X-
dc.contributor.authorTu, C-
dc.contributor.authorMourrain, B-
dc.contributor.authorWang, W-
dc.date.accessioned2020-11-23T08:28:55Z-
dc.date.available2020-11-23T08:28:55Z-
dc.date.issued2019-
dc.identifier.citationComputer Aided Geometric Design, 2019, v. 75, p. article no. 101776-
dc.identifier.issn0167-8396-
dc.identifier.urihttp://hdl.handle.net/10722/294268-
dc.description.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.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cagd-
dc.relation.ispartofComputer Aided Geometric Design-
dc.subjectDarboux cyclides-
dc.subjectMorphologies-
dc.subjectSegre characteristic-
dc.subjectIndex sequences-
dc.subjectStereographic projection-
dc.titleEnumerating the morphologies of non-degenerate Darboux cyclides-
dc.typeArticle-
dc.identifier.emailWang, W: wenping@cs.hku.hk-
dc.identifier.authorityWang, W=rp00186-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cagd.2019.101776-
dc.identifier.scopuseid_2-s2.0-85072819420-
dc.identifier.hkuros319181-
dc.identifier.volume75-
dc.identifier.spagearticle no. 101776-
dc.identifier.epagearticle no. 101776-
dc.identifier.isiWOS:000501657000001-
dc.publisher.placeNetherlands-
dc.identifier.issnl0167-8396-

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