Recursive computation of moments of 2D objects represented by elliptic Fourier descriptors

Abstract

This paper develops a recursive method for computing moments of 2D objects described by elliptic Fourier descriptors (EFD). To this end, Green’s theorem is utilized to transform 2D surface integrals into 1D line integrals and EFD description is employed to derive recursions for moments computations. A complexity analysis is provided to demonstrate space and time efficiency of our proposed technique. Accuracy and speed of the recursive computations are analyzed experimentally and comparisons with some existing techniques are also provided.