An Algorithm for Computation of Radial-Harmonic-Fourier Moments
A fast algorithm for the computation of radial- harmonic-fourier moments (RHFM) is presented in this paper. This algorithm is based on some properties of the radial- harmonic-fourier (RHF) basis functions. As RHF basis functions have specific symmetry or anti-symmetry about the x-axis, the y-axis, the origin, and the straight line of y=x, we can compute one eighth range of the RHF basis functions instead of the whole. Both theoretical analysis and experimental testing show that the fast algorithm makes the time of the computation shorter than the direct method.
Hun Guo, Zuo Dunwen, Tang Guoxing
Y. J. Jiang and Z. L. Ping, "An Algorithm for Computation of Radial-Harmonic-Fourier Moments", Advanced Materials Research, Vol. 142, pp. 284-288, 2011