A Study of Zernike Moment Computing

In this paper, we address a detailed analysis of the accuracy of Zernike moment computing in terms of its discretization error. It is found that there is an inherent limitation in the precision of computing the Zernike moment due to the geometric nature of a circular domain. This is explained by relating the accuracy issue to a celebrated problem in analytic number theory of evaluating the lattice points within a circle. We illustrate our theory by various numerical studies including the image reconstruction.