28 August 1995 Synthetic discriminant estimating filter using complex constraints
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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.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Laurent Bigue, Michel Fraces, Pierre Ambs, "Synthetic discriminant estimating filter using complex constraints", Proc. SPIE 2565, Optical Implementation of Information Processing, (28 August 1995); doi: 10.1117/12.217653; https://doi.org/10.1117/12.217653
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KEYWORDS
Image filtering

Optical filters

Interferometry

Optical correlators

Superposition

Modulation

Joint transforms

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