Synthetic discriminant estimating filter using complex constraints

Laurent Bigue; Michel Fraces; Pierre Ambs

doi:10.1117/12.217653

28 August 1995 Synthetic discriminant estimating filter using complex constraints

Laurent Bigue, Michel Fraces, Pierre Ambs

Proceedings Volume 2565, Optical Implementation of Information Processing; (1995) https://doi.org/10.1117/12.217653
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We previously proposed and implemented a joint transform correlator (JTC) using an optimal trade-off synthetic discriminant function (OT-SDF) filter in order to provide in-plane rotation ivariance. We propose to improve that system by using what we call a synthetic discriminant estimating function (SDEF) filter which also estimates the object rotation angle (without degrading the discrimination capability) through modulating the phase of the correlation peak. Most SDFs/SEFs (synthetic estimating filters) which were real-constrained so far, used the correlation peak height both to determine the object class and to estimate the varying parameter (here the rotation angle); a single correlation could be ambiguous and was not suffiicient. We propose to use the amplitude of the correlation peak only for the discrimination and its phase (which was a free parameter up to now) to indicate the object orientation: we constrain the correlation peak modulus as before, but also constrain the correlation peak phase to be a linear function of the input object rotation angel. Now, discrimination and orientation estimation can be performed simultaneously.

Citation Download Citation

Laurent Bigue, Michel Fraces, and Pierre Ambs "Synthetic discriminant estimating filter using complex constraints", Proc. SPIE 2565, Optical Implementation of Information Processing, (28 August 1995); https://doi.org/10.1117/12.217653

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