Yl. Sheng et Lx. Shen, ORTHOGONAL FOURIER-MELLIN MOMENTS FOR INVARIANT PATTERN-RECOGNITION, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(6), 1994, pp. 1748-1757
We propose orthogonal Fourier-Mellin moments, which are more suitable
than Zernike moments, for scale-and rotation-invariant pattern recogni
tion. The new orthogonal radial polynomials have more zeros than do th
e Zernike radial polynomials in the region of small radial distance. T
he orthogonal Fourier-Mellin moments may be thought of as generalized
Zernike moments and orthogonalized complex moments. For small images,
the description by the orthogonal Fourier-Mellin moments is better tha
n that by the Zernike moments in terms of image-reconstruction errors
and signal-to-noise ratio. Experimental results are shown.