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Journal Article

Discrete Hermite moments and their application in chemometrics

Honarvar Shakibaei Asli Barmak, Flusser Jan

: Chemometrics and Intelligent Laboratory Systems vol.177, 1 (2018), p. 83-88

: GJ18-26018Y, GA ČR, GA18-07247S, GA ČR

: Orthogonal polynomials, Discrete polynomials, Tchebichef moment, Hermite moment, Gauss–Hermite quadrature

: 10.1016/j.chemolab.2018.04.011

: http://library.utia.cas.cz/separaty/2018/ZOI/honarvar-0489147.pdf

(eng): In this paper, we provide comments on the recent paper by Bao Qiong Li et al. [1] that proposed a novel tool for chemometric analysis of three-dimensional spectra using Tchebichef-Hermite image moment method. We show that the proposed combined moments are not stable since the Tchebichef polynomials have a discrete instinct and Hermite polynomials are continuous. We use Gauss-Hermite quadrature to discretize continuous Hermite polynomials. A correct use of the discrete Hermite moments (DHMs) for numerical experiments is presented.

: JD

: 20205

2019-01-07 08:39