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A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes

dc.authorid Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
dc.authorid Mustafa, Ghulam/0000-0002-0441-8485
dc.authorid Ghaffar, Abdul/0000-0002-5994-8440
dc.authorscopusid 57197086739
dc.authorscopusid 26647497200
dc.authorscopusid 57220518546
dc.authorscopusid 57214863185
dc.authorscopusid 56715663200
dc.authorscopusid 7005872966
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.authorwosid Ghaffar, Abdul/Aab-3751-2020
dc.authorwosid Jehangiri, Zahid Mehmood/Aaa-3885-2022
dc.authorwosid Khan, Faheem/K-8628-2019
dc.authorwosid Nisar, Prof. Kottakkaran Sooppy/F-7559-2015
dc.authorwosid Mustafa, Ghulam/Abh-1050-2020
dc.contributor.author Shahzad, Aamir
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Khan, Faheem
dc.contributor.author Ghaffar, Abdul
dc.contributor.author Mustafa, Ghulam
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Baleanu, Dumitru
dc.contributor.authorID 56389 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2021-02-10T11:56:46Z
dc.date.available 2021-02-10T11:56:46Z
dc.date.issued 2020
dc.department Çankaya University en_US
dc.department-temp [Shahzad, Aamir; Khan, Faheem] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan; [Ghaffar, Abdul] BUITEMS, Dept Math Sci, Quetta 87300, Pakistan; [Mustafa, Ghulam] Islamia Univ Bahawalpur, Dept Math, Punjab 63100, Pakistan; [Nisar, Kottakkaran Sooppy] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania en_US
dc.description Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Mustafa, Ghulam/0000-0002-0441-8485; Ghaffar, Abdul/0000-0002-5994-8440 en_US
dc.description.abstract Subdivision schemes are extensively used in scientific and practical applications to produce continuous geometrical shapes in an iterative manner. We construct a numerical algorithm to estimate subdivision depth between the limit curves/surfaces and their control polygons after k-fold subdivisions. In this paper, the proposed numerical algorithm for subdivision depths of binary subdivision curves and surfaces are obtained after some modification of the results given by Mustafa et al in 2006. This algorithm is very useful for implementation of the parametrization. en_US
dc.description.publishedMonth 1
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation Shahzad, Aamir...et al. (2020). "A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes", Symmetry-Basel, vol. 12, No. 1. en_US
dc.identifier.doi 10.3390/sym12010066
dc.identifier.issn 2073-8994
dc.identifier.issn 2073-8994
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85082417022
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.3390/sym12010066
dc.identifier.volume 12 en_US
dc.identifier.wos WOS:000516823700066
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Mdpi en_US
dc.relation.ispartof Symmetry en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 13
dc.subject Numerical Analysis en_US
dc.subject Algorithm en_US
dc.subject Subdivision Schemes en_US
dc.subject Error Bounds en_US
dc.subject Subdivision Depth en_US
dc.title A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes tr_TR
dc.title A Novel Numerical Algorithm To Estimate the Subdivision Depth of Binary Subdivision Schemes en_US
dc.type Article en_US
dc.wos.citedbyCount 11
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery f4fffe56-21da-4879-94f9-c55e12e4ff62
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