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Generalized 5-Point Approximating Subdivision Scheme of Varying Arity

dc.contributor.authorHussain, Sardar Muhammad
dc.contributor.authorRehman, Aziz Ur
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorGhaffar, Abdul
dc.contributor.authorAbdul Karim, Samsul Ariffin
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-28T12:22:38Z
dc.date.available2021-01-28T12:22:38Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design (CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are commonly used in CAGD and several methods have been invented to design curves/surfaces produced by SSs to applied geometry. In this article, we consider an algorithm that generates the 5-point approximating subdivision scheme with varying arity. By applying the algorithm, we further discuss several properties: continuity, Holder regularity, limit stencils, error bound, and shape of limit curves. The efficiency of the scheme is also depicted with assuming different values of shape parameter along with its application.en_US
dc.description.publishedMonth4
dc.identifier.citationHussain, Sardar Muhammad...et al. (2020). "Generalized 5-Point Approximating Subdivision Scheme of Varying Arity", Mathematics, Vol. 8, No. 4.en_US
dc.identifier.doi10.3390/math8040474
dc.identifier.issn2227-7390
dc.identifier.issue4en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4501
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofMathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectApproximatingen_US
dc.subjectVarying Arityen_US
dc.subjectContinuityen_US
dc.subjectHolder Regularityen_US
dc.subjectLimit Stencilsen_US
dc.subjectError Bounden_US
dc.subjectShape of Limit Curvesen_US
dc.subjectSubdivision Schemesen_US
dc.titleGeneralized 5-Point Approximating Subdivision Scheme of Varying Aritytr_TR
dc.titleGeneralized 5-Point Approximating Subdivision Scheme of Varying Arityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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