1 July 1992 Design and simulation of a synthetic discriminant function filter for implementation in an updateable photorefractive correlator
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Abstract
The design of a highly selective synthetic discriminant function (SDF) filter is described for implementation in an up-dateable correlator based on a non-degenerate four wave mixing interaction in the photorefractive crystal Bismuth Silicon Oxide. The coefficients of the SDF cross-correlation matrix are determined for each member of the training set by modeling the high-pass filtering effect generated by a Fourier transform hologram written to the BSO with a relatively weak reference beam. Simulation show that the SDF so produced results in a correlation peak localization and discrimination ability comparable to that of the MACE filter. The filter is realizable as an all positive real-valued space domain image capable of direct input to the correlator via an SLM. Simulation results are presented for the orientation- independent, shift-invariant recognition of a test industrial component. The filter's discrimination ability against another test component, not included in the filter training set, is also examined.
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Rupert C. D. Young, Rupert C. D. Young, Christopher R. Chatwin, Christopher R. Chatwin, } "Design and simulation of a synthetic discriminant function filter for implementation in an updateable photorefractive correlator", Proc. SPIE 1701, Optical Pattern Recognition III, (1 July 1992); doi: 10.1117/12.138333; https://doi.org/10.1117/12.138333
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