Publication:
Parametric Representation of a Surface Pencil with a Common Asymptotic Curve

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dc.authorscopusid55171722000
dc.authorscopusid41861507100
dc.authorscopusid11838959400
dc.contributor.authorBayram, E.
dc.contributor.authorGüler, F.
dc.contributor.authorKasap, E.
dc.date.accessioned2020-06-21T14:18:51Z
dc.date.available2020-06-21T14:18:51Z
dc.date.issued2012
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Bayram] Ergin, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Güler] Fatma, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Kasap] Emin, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkeyen_US
dc.description.abstractIn this paper, we study the problem of finding a surface pencil from a given spatial asymptotic curve. We obtain the parametric representation for a surface pencil whose members have the same curve as a given asymptotic curve. Using the Frenet frame of the given asymptotic curve, we present the surface as a linear combination of this frame and analyse the necessary and sufficient condition for that curve to be asymptotic. We illustrate this method by presenting some examples. © 2012 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.cad.2012.02.007
dc.identifier.endpage643en_US
dc.identifier.issn0010-4485
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-84859303348
dc.identifier.scopusqualityQ2
dc.identifier.startpage637en_US
dc.identifier.urihttps://doi.org/10.1016/j.cad.2012.02.007
dc.identifier.volume44en_US
dc.identifier.wosWOS:000304838700005
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherElsevier Sci Ltden_US
dc.relation.ispartofComputer-Aided Designen_US
dc.relation.journalComputer-Aided Designen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAsymptotic Curveen_US
dc.subjectFrenet Frameen_US
dc.subjectSurface Pencilen_US
dc.titleParametric Representation of a Surface Pencil with a Common Asymptotic Curveen_US
dc.typeArticleen_US
dspace.entity.typePublication

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