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A Computational Method for Subdivision Depth of Ternary Schemes

dc.contributor.authorKhan, Faheem
dc.contributor.authorMustafa, Ghulam
dc.contributor.authorShahzad, Aamir
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorM. Al-Qurashi, Maysaa
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-28T12:19:56Z
dc.date.available2021-01-28T12:19:56Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractSubdivision schemes are extensively used in scientific and practical applications to produce continuous shapes in an iterative way. This paper introduces a framework to compute subdivision depths of ternary schemes. We first use subdivision algorithm in terms of convolution to compute the error bounds between two successive polygons produced by refinement procedure of subdivision schemes. Then, a formula for computing bound between the polygon atk-th stage and the limiting polygon is derived. After that, we predict numerically the number of subdivision steps (depths) required for smooth limiting shape based on the demand of user specified error (distance) tolerance. In addition, extensive numerical experiments were carried out to check the numerical outcomes of this new framework. The proposed methods are more efficient than the method proposed by Song et al.en_US
dc.description.publishedMonth5
dc.identifier.citationKhan, Faheem...et al. (2020). "A Computational Method for Subdivision Depth of Ternary Schemes", Mathematics, Vol. 8, No. 5.en_US
dc.identifier.doi10.3390/math8050817
dc.identifier.issn2227-7390
dc.identifier.issue5en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4479
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofMathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSubdivision Schemesen_US
dc.subjectConvolutionen_US
dc.subjectError Boundsen_US
dc.subjectSubdivision Depthen_US
dc.subjectSubdivision Levelen_US
dc.titleA Computational Method for Subdivision Depth of Ternary Schemestr_TR
dc.titleA Computational Method for Subdivision Depth of Ternary Schemesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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