Paper
6 August 2003 A nonlinear training set superposition filter derived by neural network training methods for implementation in a shift-invariant optical correlator
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Abstract
The various types of synthetic discriminant function (sdf) filter result in a weighted linear superposition of the training set images. Neural network training procedures result in a non-linear superposition of the training set images or, effectively, a feature extraction process, which leads to better interpolation properties than achievable with the sdf filter. However, generally, shift invariance is lost since a data dependant non-linear weighting function is incorporated in the input data window. As a compromise, we train a non-linear superposition filter via neural network methods with the constraint of a linear input to allow for shift invariance. The filter can then be used in a frequency domain based optical correlator. Simulation results are presented that demonstrate the improved training set interpolation achieved by the non-linear filter as compared to a linear superposition filter.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ioannis Kypraios, Rupert C. D. Young, Philip M. Birch, and Christopher R. Chatwin "A nonlinear training set superposition filter derived by neural network training methods for implementation in a shift-invariant optical correlator", Proc. SPIE 5106, Optical Pattern Recognition XIV, (6 August 2003); https://doi.org/10.1117/12.486334
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Cited by 5 scholarly publications.
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KEYWORDS
Image filtering

Nonlinear filtering

Neural networks

Neurons

Optical filters

Superposition

Linear filtering

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