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dc.contributor.authorKüçükoğlu, İrem
dc.contributor.authorŞimşek, Buket
dc.contributor.authorŞimşek, Yilmaz
dc.date.accessioned2021-02-19T21:16:38Z
dc.date.available2021-02-19T21:16:38Z
dc.date.issued2019
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.urihttps://doi.org/10.1016/j.amc.2018.10.012
dc.identifier.urihttps://hdl.handle.net/20.500.12868/505
dc.descriptionKUCUKOGLU, IREM/0000-0001-9100-2252; SIMSEK, BUKET/0000-0001-8372-2129en_US
dc.descriptionWOS: 000449353600013en_US
dc.description.abstractIn this paper, by using partial derivative formulas of generating functions for the multidimensional unification of the Bernstein basis functions and their functional equations, we derive derivative formulas and identities for these basis functions and their generating functions. We also give a conjecture and some open questions related to not only subdivision property of these basis functions, but also solutions of a higher-order special differential equations. Moreover, we provide an implementation for a real world problem of human facial expression recognition with the help of curvature of Bezier curves whose machine learning supported by statistical evaluations on feature vectors using in the aforementioned machine learning algorithm. (C) 2018 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipScientific Research Project Administration of Akdeniz UniversityAkdeniz Universityen_US
dc.description.sponsorshipThe third author was supported by the Scientific Research Project Administration of Akdeniz Universityen_US
dc.language.isoengen_US
dc.publisherElsevier Science Incen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFacial expression recognitionen_US
dc.subjectMachine learningen_US
dc.subjectBezier curveen_US
dc.subjectGenerating functionen_US
dc.subjectStatistical evaluationsen_US
dc.subjectBernstein basis functionen_US
dc.titleMultidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvatureen_US
dc.typearticleen_US
dc.contributor.departmentALKÜen_US
dc.contributor.institutionauthor0-belirlenecek
dc.identifier.doi10.1016/j.amc.2018.10.012
dc.identifier.volume344en_US
dc.identifier.startpage150en_US
dc.identifier.endpage162en_US
dc.relation.journalApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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