Optical pattern recognition based on convex functions

Spatial filters based on the properties of convex functions can be generated directly on a hybrid electro-optical system. As an example, simulated annealing was used to design highly selective spatial filters. Laboratory experiments demonstrated efficient pattern recognition and class discrimination. Several procedures for designing synthetic discriminant functions discussed in the literature are shown to be special cases of the present procedure.

[1]  D. Casasent,et al.  Minimum average correlation energy filters. , 1987, Applied optics.

[2]  Esther Levin,et al.  Accelerated Learning in Layered Neural Networks , 1988, Complex Syst..

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

[4]  Joseph Shamir,et al.  Reducing error probability in optical pattern recognition , 1991 .

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

[6]  J Shamir,et al.  Phase-only entropy-optimized filter generated by simulated annealing. , 1989, Optics letters.

[7]  Jacob Ziv,et al.  On functionals satisfying a data-processing theorem , 1973, IEEE Trans. Inf. Theory.

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

[9]  Joseph Shamir,et al.  Maximum discrimination filter , 1991 .

[10]  J Shamir,et al.  Genetic algorithm for optical pattern recognition. , 1991, Optics letters.

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

[12]  B. V. Vijaya Kumar,et al.  Minimum-variance synthetic discriminant functions , 1986 .

[13]  Uri Mahlab,et al.  Adaptive learning with joint transform correlators , 1990 .

[14]  David Casasent,et al.  Optimal Linear Discriminant Functions , 1985, Other Conferences.

[15]  J Shamir,et al.  Entropy optimized filter for pattern recognition. , 1990, Applied optics.

[16]  R. Kallman.  Construction of low noise optical correlation filters. , 1986, Applied optics.

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