Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature

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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.departmentALKÜ
dc.descriptionKUCUKOGLU, IREM/0000-0001-9100-2252; SIMSEK, BUKET/0000-0001-8372-2129
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.
dc.description.sponsorshipScientific Research Project Administration of Akdeniz UniversityAkdeniz University
dc.description.sponsorshipThe third author was supported by the Scientific Research Project Administration of Akdeniz University
dc.identifier.doi10.1016/j.amc.2018.10.012
dc.identifier.endpage162en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopusqualityQ1
dc.identifier.startpage150en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2018.10.012
dc.identifier.urihttps://hdl.handle.net/20.500.12868/505
dc.identifier.volume344en_US
dc.identifier.wosWOS:000449353600013
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor0-belirlenecek
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics And Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFacial expression recognition
dc.subjectMachine learning
dc.subjectBezier curve
dc.subjectGenerating function
dc.subjectStatistical evaluations
dc.subjectBernstein basis function
dc.titleMultidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature
dc.typeArticle

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