On the Bertrand Pairs of Open Non-Uniform Rational B-Spline Curves

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dc.contributor.authorİncesu, Muhsin
dc.contributor.authorEvren, Sara Yılmaz
dc.contributor.authorGürsoy, Osman
dc.date.accessioned2024-07-12T21:40:41Z
dc.date.available2024-07-12T21:40:41Z
dc.date.issued2021en_US
dc.department[Belirlenecek]en_US
dc.descriptionInternational Conference on Mathematical Analysis and Applications (MAA) -- NOV 02-04, 2020 -- ELECTR NETWORKen_US
dc.description.abstractB-spline curves are used basically in Computer-Aided Design (CAD), Computer-Aided Geometric Design (CAGD), and Computer-Aided Modeling (CAM). In determining the invariants of curves and surfaces at any point, there are some difficulties in expressing it analytically and calculating its invariants at the desired point. For these curves and surfaces the way to overcome these difficulties is to design them with spline curves and surfaces. In this paper the second- and third-order derivatives of open Non-Uniform Rational B-Spline (NURBS) curves at the points t = t(d), t = t(m-d), and arbitrary point in domain of these curves are given. In addition, the Frenet vector fields and curvatures of these open NURBS curves were expressed by their control points. The relationships between control points were expressed when given two open NURBS curves occurred as Bertrand curve pairs at the points t = t(d), t = t(m-d), and arbitrary point in domain of these curves.en_US
dc.description.sponsorshipNatl Inst Technol Jamshedpur, Dept Mathen_US
dc.identifier.doi10.1007/978-981-16-8177-6_11
dc.identifier.endpage184en_US
dc.identifier.isbn978-981-16-8177-6
dc.identifier.isbn978-981-16-8176-9
dc.identifier.issn2194-1009
dc.identifier.scopus2-s2.0-85127903139en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage167en_US
dc.identifier.urihttps://doi.org/10.1007/978-981-16-8177-6_11
dc.identifier.urihttps://hdl.handle.net/20.500.12415/7443
dc.identifier.volume381en_US
dc.identifier.wosWOS:000784715200011en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer-Verlag Singapore Pte Ltden_US
dc.relation.ispartofMathematical Analysis And Applications, Maa 2020en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY08787
dc.subjectNurbs Curvesen_US
dc.subjectBertrand Pairsen_US
dc.subjectOpen Splineen_US
dc.subjectFrenet Frameen_US
dc.titleOn the Bertrand Pairs of Open Non-Uniform Rational B-Spline Curvesen_US
dc.typeConference Object
dspace.entity.typePublication

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