Image moments and reconstruction by Krawtchouk via Clenshaw's reccurence formula

Abstract

The purpose of this paper is to compare two methods of computation of image moments and its inverse, the first is the common recursive method based on Krawtchouk polynomials with respect to x, the second is based on Krawtchouk basis and Clenshaw's formula. This paper in a first time will define these methods and in the second time will evaluate these methods and compare it to each other. We finally prove the accuracy of the proposed method in term of time consumed.