Accurate and fast Jacobi-Fourier moments for invariant image recognition

The Jacobi-Fourier moments (JFMs) which are useful for many image processing, pattern recognition and computer vision applications provide a wide class of orthogonal rotation invariant moments (ORIMs). The accuracy of JFMs suffers from various errors, such as the geometric error, numerical integration error, and discretization error. Moreover, the high order moments are vulnerable to numerical instability. In this paper, we present a fast method for the accurate calculation of JFMs which not only removes the geometric error and numerical integration error, but also provides numerical stability to JFMs of high orders.