Some general properties of the circular harmonic expansion relevant to their use for pattern recognition are derived. Both circular harmonic filters and Fourier-Mellin descriptors, which are used as the moments of circular harmonic functions, are considered. Expressions for the asymptotic energy in terms of the circular harmonic orders are derived and experimentally verified.
© 1986 Optical Society of America
Original Manuscript: February 6, 1986
Published: September 15, 1986
Henri H. Arsenault and Yunlong Sheng, "Properties of the circular harmonic expansion for rotation-invariant pattern recognition," Appl. Opt. 25, 3225-3229 (1986)