Discrete Hermite moments and their application in chemometrics

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.