New optical transforms for pattern recognition

New optical transformations are discussed. These include Mellin transforms, Fourier-Mellin transforms, and combinations of Geometrical transformations and Fourier-Mellin operations. Scale, postional, and rotational invariant correlations with no loss in SNR are demonstrated.

[1]  F. Gerardi,et al.  Application of Mellin and Hankel Transforms to Networks with Time-Varying Parameters , 1959 .

[2]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

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

[4]  J. Goodman Introduction to Fourier optics , 1969 .

[5]  F P Carlson,et al.  Linear vector operations in coherent optical data processing systems. , 1970, Applied optics.

[6]  Thomas S. Huang,et al.  Inverse filtering for linear shift-variant imaging systems , 1972 .

[7]  P. Baudelaire Linear stretch-invariant systems , 1973 .

[8]  W. H. Lee,et al.  Binary synthetic holograms. , 1974, Applied optics.

[9]  E. Byckling WAVORTHO automatic-lens-design program. , 1974 .

[10]  David Casasent,et al.  An Optical/Digital Processor: Hardware and Applications , 1975, IEEE Transactions on Computers.

[11]  Nabil H. Farhat Nonlinear Optical Data Processing and Filtering: A Feasibility Study , 1975, IEEE Transactions on Computers.

[12]  Alexander A. Sawchuk,et al.  Analysis and synthesis of nonlinear optical processing , 1975 .

[13]  S. P. Almeida,et al.  Water pollution monitoring using matched spatial filters. , 1976, Applied optics.

[14]  D. Casasent,et al.  Position, rotation, and scale invariant optical correlation. , 1976, Applied optics.

[15]  Demetri Psaltis,et al.  Scale Invariant Optical Transform , 1976 .

[16]  D. Casasent,et al.  SCALE INVARIANT OPTICAL CORRELATION USING MELLIN TRANSFORMS , 1976 .

[17]  B.J. Thompson Hybrid processing systems—An assessment , 1977, Proceedings of the IEEE.

[18]  A A Sawchuk,et al.  Nonlinear optical processing: analysis and synthesis. , 1977, Applied optics.

[19]  D. Casasent,et al.  Spatial light modulators , 1977, Proceedings of the IEEE.