Some computational aspects of Tchebichef moments for higher orders

C Camacho-Bello, JS Rivera-Lopez - Pattern Recognition Letters, 2018 - Elsevier
In this work, we propose a new algorithm for the computation of Tchebichef moments by
means of a recurrence relation with respect to order and the Gram–Schmidt process, which …

Recursive computation of Tchebichef moment and its inverse transform

G Wang, S Wang - Pattern Recognition, 2006 - Elsevier
Tchebichef moment is a novel set of orthogonal moment applied in the fields of image
analysis and pattern recognition. Less work has been made for the computation of …

Image analysis by Tchebichef moments

R Mukundan, SH Ong, PA Lee - IEEE Transactions on image …, 2001 - ieeexplore.ieee.org
This paper introduces a new set of orthogonal moment functions based on the discrete
Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern …

Some computational aspects of discrete orthonormal moments

R Mukundan - IEEE Transactions on image processing, 2004 - ieeexplore.ieee.org
Discrete orthogonal moments have several computational advantages over continuous
moments. However, when the moment order becomes large, discrete orthogonal moments …

Errata and comments on “Orthogonal moments based on exponent functions: Exponent-Fourier moments”

B Xiao, W Li, G Wang - Pattern Recognition, 2015 - Elsevier
In this paper, we show that the Exponent-Fourier moments (EFMs), as defined in Ref.[1] are
imprecise and the radial function of EFMs performs numerically unstable. At last, an …

A new class of Zernike moments for computer vision applications

GA Papakostas, YS Boutalis, DA Karras… - Information Sciences, 2007 - Elsevier
A Modified Direct Method for the computation of the Zernike moments is presented in this
paper. The presence of many factorial terms, in the direct method for computing the Zernike …

A novel approach to the fast computation of Zernike moments

SK Hwang, WY Kim - Pattern Recognition, 2006 - Elsevier
This paper presents a novel approach to the fast computation of Zernike moments from a
digital image. Most existing fast methods for computing Zernike moments have focused on …

Image reconstruction from continuous Gaussian–Hermite moments implemented by discrete algorithm

B Yang, M Dai - Pattern Recognition, 2012 - Elsevier
The problem of image reconstruction from its statistical moments is particularly interesting to
researchers in the domain of image processing and pattern recognition. Compared to …

Numerically efficient algorithms for anisotropic scale and translation Tchebichef moment invariants

CY Pee, SH Ong, P Raveendran - Pattern Recognition Letters, 2017 - Elsevier
Anisotropic scale and translation invariants (ASTI) for Tchebichef moments have been
proposed by Zhu et al.[27]. Since these invariants are derived via the decomposition of …

Fast and numerically stable methods for the computation of Zernike moments

C Singh, E Walia - Pattern Recognition, 2010 - Elsevier
Zernike moments (ZMs) are used in many image processing applications due to their
superior performance over other moments. However, they suffer from high computation cost …