Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature
[ X ]
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
KUCUKOGLU, IREM/0000-0001-9100-2252; SIMSEK, BUKET/0000-0001-8372-2129
Anahtar Kelimeler
Facial expression recognition, Machine learning, Bezier curve, Generating function, Statistical evaluations, Bernstein basis function
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
344
