DISTORTION-INVARIANT FRACTIONAL POWER FRINGE-ADJUSTED JOINT TRANSFORM CORRELATION

A distortion-invariant joint transform correlation (JTC), based on the fractional power fringe-adjusted joint transform correlation and synthetic discriminant function, is investigated. By suitably adjusting the parameters used to characterize the fractional power fringe-adjusted fil- ter formulation, we obtain JTC-based classical matched filtering, fringe- adjusted filtering, and amplitude-modulated phase-only filtering. Com- puter simulation results show that the proposed joint transform correlation is distortion-invariant for the target image from the training set. © 1998 Society of Photo-Optical Instrumentation Engineers. (S0091-3286(98)00501-7) Subject terms: recognition techniques; synthetic discriminant function; joint trans- form correlation; fractional power fringe-adjusted joint transform correlation; joint power spectrum.

[1]  Donald W. Sweeney,et al.  Iterative technique for the synthesis of optical-correlation filters , 1986 .

[2]  B Javidi,et al.  Synthetic discriminant function-based binary nonlinear optical correlator. , 1989, Applied optics.

[3]  Mohammad A. Karim,et al.  Multiple target detection using a modified fringe-adjusted joint transform correlator , 1994 .

[4]  J. Goodman,et al.  A technique for optically convolving two functions. , 1966, Applied optics.

[5]  Francis T. S. Yu,et al.  A real-time programmable joint transform correlator , 1984 .

[6]  B. Kumar,et al.  Generalized synthetic discriminant functions , 1988 .

[7]  D. Casasent,et al.  Correlation synthetic discriminant functions. , 1986, Applied optics.

[8]  Mohammad S. Alam.  Fractional power fringe-adjusted joint transform correlation , 1995 .

[9]  Chris Chatwin,et al.  Synthetic discriminant function fringe-adjusted joint transform correlator , 1995 .

[10]  D Casasent,et al.  Unified synthetic discriminant function computational formulation. , 1984, Applied optics.

[11]  Francis T. S. Yu,et al.  Adaptive real-time pattern recognition using a liquid crystal TV based joint transform correlator. , 1987, Applied optics.

[12]  A. B. Vanderlugt.  SIGNAL DETECTION BY COMPLEX SPATIAL FILTERING , 1963 .

[13]  Mohammad A. Karim,et al.  Improved correlation discrimination in a multi-object bipolar joint transform correlator , 1992 .

[14]  D A Jared,et al.  Inclusion of filter modulation in synthetic-discriminant-function construction. , 1989, Applied optics.

[15]  Mohammad A. Karim,et al.  Improved correlation discrimination using joint fourier‐transform optical correlator , 1991 .

[16]  D Casasent,et al.  Multivariant technique for multiclass pattern recognition. , 1980, Applied optics.