title: Reconstruction of color biomedical images by means of quaternion generic Jacobi-Fourier moments in the framework of polar pixels.
abstract: A detailed analysis of the quaternion generic Jacobi-Fourier moments (QGJFMs) for color image description is presented. In order to reach numerical stability, a recursive approach is used during the computation of the generic Jacobi radial polynomials. Moreover, a search criterion is performed to establish the best values for the parameters [Formula: see text] and [Formula: see text] of the radial Jacobi polynomial families. Additionally, a polar pixel approach is taken into account to increase the numerical accuracy in the calculation of the QGJFMs. To prove the mathematical theory, some color images from optical microscopy and human retina are used. Experiments and results about color image reconstruction are presented.
authors.affiliation: Universidad Politécnica de Tulancingo , Ingenierías No. 100, Hidalgo 43629, México.
authors.forename: César
authors.initials: C
authors.lastname: Camacho-Bello
authors.affiliation: Universidad Politécnica de Tulancingo , Ingenierías No. 100, Hidalgo 43629, México.
authors.forename: Alfonso
authors.initials: A
authors.lastname: Padilla-Vivanco
authors.affiliation: Universidad Politécnica de Tulancingo , Ingenierías No. 100, Hidalgo 43629, México.
authors.forename: Carina
authors.initials: C
authors.lastname: Toxqui-Quitl
authors.affiliation: Instituto Nacional de Astrofísica , Óptica y Electrónica. Luis Enrique Erro No. 1, Puebla 72840, México.
authors.forename: José Javier
authors.initials: JJ
authors.lastname: Báez-Rojas
keywords: Jacobi polynomial; color image; color microscopy images; polar pixels; quaternion moments