We propose orthogonal Fourier–Mellin moments, which are more suitable than Zernike moments, for scaleand 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.
© 1994 Optical Society of America
Original Manuscript: July 7, 1993
Revised Manuscript: November 22, 1993
Manuscript Accepted: December 14, 1993
Published: June 1, 1994
Yunlong Sheng and Lixin Shen, "Orthogonal Fourier–Mellin moments for invariant pattern recognition," J. Opt. Soc. Am. A 11, 1748-1757 (1994)