THE EXCHANGE VARIATIONS BETWEEN BEZIER DIRECTRIX CURVES OF TWO DEVELOPABLE RULED SURFACES

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dc.contributor.authorBulut, Vahide
dc.contributor.authorCaliskan, Ali
dc.date.accessioned2019-10-27T22:59:19Z
dc.date.available2019-10-27T22:59:19Z
dc.date.issued2015
dc.departmentEge Üniversitesien_US
dc.description.abstractDevelopable ruled surfaces and Bezier curves are widely used in Computer Aided Geometric Deisgn (CAGD). A ruled surface is a surface generated by sweeping a line through space, or more specifically, sweeping a line along a directrix curve. A developable ruled surface is a surface where the surface normal at all points along a given ruling is constant. If the generators and directrix curve of a developable ruled surface are known, operations with these surfaces and designs of them are much simplified. In this paper, we present obtaining the Bezier directrix curve of a developable ruled surface from the Bezier directrix curve of the other developable ruled surface and the exchange variations of the arc lengths of these directrix curves. Also, we expressed the curvature exchanges between these Bezier directrix curves of two developable ruled surfaces. Also, based on this variation, we have discussed some ideas about the variations of developable ruled surfaces.en_US
dc.identifier.doi10.1080/1726037X.2015.1076225
dc.identifier.endpage114en_US
dc.identifier.issn1726-037X
dc.identifier.issn2169-0057
dc.identifier.issue2en_US
dc.identifier.startpage103en_US
dc.identifier.urihttps://doi.org/10.1080/1726037X.2015.1076225
dc.identifier.urihttps://hdl.handle.net/11454/51769
dc.identifier.volume13en_US
dc.identifier.wosWOS:000376032000001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofJournal of Dynamical Systems and Geometric Theoriesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDevelopable ruled surfaceen_US
dc.subjectBezier curveen_US
dc.subjectArc lengthen_US
dc.subjectVariationen_US
dc.titleTHE EXCHANGE VARIATIONS BETWEEN BEZIER DIRECTRIX CURVES OF TWO DEVELOPABLE RULED SURFACESen_US
dc.typeArticleen_US

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