Localized, partially space-invariant filtering.

In cases in which the image-to-image spatial variability of the input pattern changes with the spatial location, a localized-filtering method should be used for pattern recognition. Localized space-invariant filtering is investigated, and its improved recognition abilities are demonstrated with the recognition of fingerprints. The motivation for the investigated implementation is related to the fact that a person never presses his finger on a surface with equal pressure. This variation results in different amounts of spatial shifting being required from the optical processor in different regions of the fingerprint. A two-region mathematical model for representing the human finger is presented and investigated by use of localized space-invariant filtering by means of a computer.

[1]  B. F. Oreb,et al.  An Interactive Optical-Digital Image Processor , 1989, Photonics West - Lasers and Applications in Science and Engineering.

[2]  Demetri Psaltis,et al.  Interference Filters As Nonlinear Decision-Making Elements For Associative Memories , 1988, Photonics West - Lasers and Applications in Science and Engineering.

[3]  Donald H. McMahon,et al.  A Hybrid Optical Computer Processing Technique for Fingerprint Identification , 1975, IEEE Transactions on Computers.

[4]  Marce Eleccion,et al.  Automatic fingerprint identification , 1973, IEEE Spectrum.

[5]  A. Lohmann,et al.  Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform. , 1994, Applied optics.

[6]  F T Gamble,et al.  Real-time fingerprint verification system. , 1992, Applied optics.

[7]  E. Condon,et al.  Immersion of the Fourier Transform in a Continuous Group of Functional Transformations. , 1937, Proceedings of the National Academy of Sciences of the United States of America.

[8]  V. S. Khitrova,et al.  Matched filtering on the basis of thick holograms for fingerprint identification , 1977 .

[9]  G. S. Agarwal,et al.  A simple realization of fractional Fourier transform and relation to harmonic oscillator Green's function , 1994 .

[10]  Zeev Zalevsky,et al.  Signal spatial-filtering using the localized fractional Fourier transform , 1996 .

[11]  H. Ozaktas,et al.  Fractional Fourier transforms and their optical implementation. II , 1993 .

[12]  Luís B. Almeida An introduction to the angular Fourier transform , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  O. Soares,et al.  Fractional Fourier transforms and optical systems , 1994 .

[14]  A. B. Vander Lugt,et al.  Signal detection by complex spatial filtering , 1964, IEEE Trans. Inf. Theory.

[15]  Levent Onural,et al.  Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms , 1994 .

[16]  A. Lohmann,et al.  Chirp filtering in the fractional Fourier domain. , 1994, Applied optics.

[17]  A. Lohmann Image rotation, Wigner rotation, and the fractional Fourier transform , 1993 .

[18]  Luís B. Almeida,et al.  The fractional Fourier transform and time-frequency representations , 1994, IEEE Trans. Signal Process..