A new set, to our knowledge, of orthogonal moment functions for describing images is proposed. It is based on the generalized pseudo-Zernike polynomials that are orthogonal on the unit circle. The generalized pseudo-Zernike polynomials are scaled to ensure numerical stability, and some properties are discussed. The performance of the proposed moments is analyzed in terms of image reconstruction capability and invariant character recognition accuracy. Experimental results demonstrate the superiority of generalized pseudo-Zernike moments compared with pseudo-Zernike and Chebyshev–Fourier moments in both noise-free and noisy conditions.
© 2006 Optical Society of America
Original Manuscript: September 30, 2005
Revised Manuscript: June 29, 2006
Manuscript Accepted: July 31, 2006
Ting Xia, Hongqing Zhu, Huazhong Shu, Pascal Haigron, and Limin Luo, "Image description with generalized pseudo-Zernike moments," J. Opt. Soc. Am. A 24, 50-59 (2007)