Exact Legendre moment computation for gray level images

A novel method is proposed for exact Legendre moment computation for gray level images. A recurrence formula is used to compute exact values of moments by mathematically integrating the Legendre polynomials over digital image pixels. This method removes the numerical approximation errors involved in conventional methods. A fast algorithm is proposed to accelerate the moment's computations. A comparison with other conventional methods is performed. The obtained results explain the superiority of the proposed method. (c) 2007 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.