Abstract

Optical correlation schemes based on a matched filter containing a single logarithmic harmonic of an object are described. This correlator can provide shift and projection (tilt) invariant pattern recognition. The logarithmic harmonics, their orthogonality, and their completeness are presented, as well as experimental results using computer simulations and real optical targets. The projection invariance and the discrimination ability of this filter are successfully demonstrated.

© 1990 Optical Society of America

Composite harmonic filters for scale-, projection-, and shift-invariant pattern recognition

David Mendlovic, Zeev Zalevsky, Irena Kiryuschev, and Guy Lebreton
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Projection-invariant pattern recognition with a phase-only logarithmic-harmonic-derived filter

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One-dimensional logarithmic harmonic synthetic discriminant function filters for shift-, scale-, and projection-invariant pattern recognition

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