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A Class of Refinement Schemes With Two Shape Control Parameters

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dc.contributor.author Mustafa, Ghulam
dc.contributor.author Hameed, Rabia
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Mahmood, Ayesha
dc.date.accessioned 2021-02-08T12:49:19Z
dc.date.available 2021-02-08T12:49:19Z
dc.date.issued 2020
dc.identifier.citation Mustafa, Ghulam...et al. (2020). "A Class of Refinement Schemes With Two Shape Control Parameters", IEEE Access, Vol. 8, pp. 98316-98329. tr_TR
dc.identifier.issn 2169-3536
dc.identifier.uri http://hdl.handle.net/20.500.12416/4559
dc.description.abstract A subdivision scheme defines a smooth curve or surface as the limit of a sequence of successive refinements of given polygon or mesh. These schemes take polygons or meshes as inputs and produce smooth curves or surfaces as outputs. In this paper, a class of combine refinement schemes with two shape control parameters is presented. These even and odd rules of these schemes have complexity three and four respectively. The even rule is designed to modify the vertices of the given polygon, whereas the odd rule is designed to insert a new point between every edge of the given polygon. These schemes can produce high order of continuous shapes than existing combine binary and ternary family of schemes. It has been observed that the schemes have interpolating and approximating behaviors depending on the values of parameters. These schemes have an interproximate behavior in the case of non-uniform setting of the parameters. These schemes can be considered as the generalized version of some of the interpolating and B-spline schemes. The theoretical as well as the numerical and graphical analysis of the shapes produced by these schemes are also presented. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1109/ACCESS.2020.2997557 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Shape tr_TR
dc.subject Interpolation tr_TR
dc.subject Splines (Mathematics) tr_TR
dc.subject Shape Control tr_TR
dc.subject Complexity Theory tr_TR
dc.subject Licenses tr_TR
dc.subject Combined Refinement Schemes tr_TR
dc.subject Continuous Curves tr_TR
dc.subject Interpolation tr_TR
dc.subject Approximation tr_TR
dc.subject Shape Parameters tr_TR
dc.subject Non-Uniform Parameters tr_TR
dc.title A Class of Refinement Schemes With Two Shape Control Parameters tr_TR
dc.type article tr_TR
dc.relation.journal IEEE Access tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.startpage 98316 tr_TR
dc.identifier.endpage 98329 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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