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A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme

dc.contributor.authorHameed, Rabia
dc.contributor.authorMustafa, Ghulam
dc.contributor.authorLiaqat, Amina
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorKhan, Faheem
dc.contributor.authorAl-Qurashi, Maysaa M.
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-02-23T08:27:43Z
dc.date.available2022-02-23T08:27:43Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we present a new subdivision scheme by using an interpolatory subdivision scheme and an approximating subdivision scheme. The construction of the subdivision scheme is based on translation of points of the 4-point interpolatory subdivision scheme to the new position according to three displacement vectors containing two shape parameters. We first study the characteristics of the new subdivision scheme analytically and then present numerical experiments to justify these analytical characteristics geometrically. We also extend the new derived scheme into its bivariate/tensor product version. This bivariate scheme is applicable on quadrilateral meshes to produce smooth limiting surfaces up toC3continuity.en_US
dc.description.publishedMonth10
dc.identifier.citationHameed, Rabia...et al. (2020). "A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme", Mathematical Problems in Engineering, Vol. 2020.en_US
dc.identifier.doi10.1155/2020/6096545
dc.identifier.issn1024-123X
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5044
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofMathematical Problems in Engineeringen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleA New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Schemetr_TR
dc.titleA New Approach To Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Schemeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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