Study on the Performance of Fractional Correlation Applied in Scale Distortion-invariant Pattern Recognition

[in Chinese]; [in Chinese]; [in Chinese]; [in Chinese]; [in Chinese]

[1] J. W. Goodman. Introduction to Fourier Optics. New York: McGraw-Hill, 1968

[2] M. W. Roth. Survey of neural network technology for automatic target recognition. IEEE Trans. Neural Net., 1990, 1:28～43

[3] B. Javidi. Synthetic discriminant function-based binary nonlinear optical correlator. Appl. Opt., 1989, 28(13):2490～2493

[4] Y. N. Hsu, H. H. Arsenault. Optical pattern recognition using circular harmonic expansion. Appl. Opt., 1982, 21(22):4016～4019

[5] Z. Zalevsky, D. mendlovic, J. H. Caulfield. Fractional correlator with real-time control of the space-invariance property. Appl. Opt., 1997, 36(11):2370～2375

[6] Zhu Banghe, Han Li, Xie Hongwei et al.. The properties of fractional correlation peak based on fractional Fourier transform. Proceedings of Electronic Measurement & Instruments, 1999, 13:868～872

[7] V. Namias. The fractional order Fourier transform and its application to quantum mechanics. J. Inst. Maths. Appl., 1980, 25:241～265

[8] D. Mendlovic, H. M. Ozaktas. Fractional Fourier transforms and their optical implementation: Ⅰ. J. Opt. Soc. Am. A, 1993, 10(9):1875～1881

[9] A. W. Lohmann. Image rotation, Wigner rotation and the fractional Fourier transform. J. Opt. Soc. Am. A, 1993, 10(10):2181～2186

[10] M. A. Kutay, H. M. Ozaktas, O. Arikan et al.. Optimal filtering in fractional Fourier domains. IEEE Trans. Sig. Proc., 1997, 45:1129～1143

[11] R. G. Dorsch, A. W. Lohmann, Y. Bitran et al.. Chirp filtering in the fractional Fourier domain. Appl. Opt., 1994, 33(32):7599～7602

[12] H. M. Ozaktas, B. Barshan, D. Mendlovic et al.. Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms. J. Opt. Soc. Am. A, 1994, 11(2):547～559

[13] D. Mendlovic, H. M. Ozaktas, A. W. Lohmann. Fractional correlation. Appl. Opt., 1995, 34(2):303～309

[14] A. W. Lohmann, Z. Zalevsky, D. Mendlovic. Synthesis of pattern recognition filters for fractional Fourier processing. Opt. Comm., 1996, 128(4,5,6):199～204

[15] T. Alieva, F. Agullo-Lopez. Reconstruction of the optical correlation function in a quadratic refractive index medium. Opt. Comm., 1995, 114(1,2):161～169

[16] Z. Zalevsky, D. Mendlovic, J. H. Caulfield. Localized, partially space-invariant filtering. Appl. Opt., 1997, 36(5):1086～1092

[17] B. V. K. Vijaya Kumar, L. Hassebrook. Performance measures for correlation filters. Appl. Opt., 1990, 29(20):2997～3006

[18] S. H. Song, J. S. Jeong, S. Park et al.. Planar optical implementation of fractional correlation. Opt. Comm., 1997, 143(4,5,6):287～293