Orthogonal Fourier-Mellin moments for invariant pattern recognition
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Journal of the Optical Society of America (JOSA) 11 (6): 1748--1757 (1994)

We propose orthogonal Fourier-Mellin moments, which are more suitable than Zernike moments, for scale-and rotation-invariant pattern recognition. The new orthogonal radial polynomials have more zeros than do the Zernike radial polynomials in the region of small radial distance. The 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 than that by the Zernike moments in terms of image-reconstruction errors and signal-to-noise ratio. Experimental results are shown.
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