Image analysis by Tchebichef moments

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 features in the analysis of two-dimensional images. The im plementation of moments proposed in this paper does not involve any numeric al approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments super ior to the conventional orthogonal moments such as Legendre moments and Zer nike moments, in terms of preserving the analytical properties needed to en sure information redundancy in a moment set. The paper also details the var ious computational aspects of Tchebichef moments and demonstrates their fea ture representation capability using the method of image reconstruction.