COMPUTATION OF LEGENDRE AND ZERNIKE MOMENTS

This paper presents recursive algorithms for fast computation of Legen dre and Zernike moments of a grey-level image intensity distribution. For a binary image, a contour integration method is developed for the evaluation of Legendre moments using only the boundary information. A method for recursive calculation of Zernike polynomial coefficients is also given. A square-to-circular image transformation scheme is intro duced to minimize the computation involved in Zernike moment functions . The recursive formulae can also be used in inverse moment transforms to reconstruct the original image from moments. The mathematical fram ework of the algorithms is given in detail, and illustrated with binar y and grey-level images.