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
Original Manuscript: June 12, 1989
Published: November 10, 1990
David Mendlovic, Naim Konforti, and Emanuel Marom, "Shift and projection invariant pattern recognition using logarithmic harmonics," Appl. Opt. 29, 4784-4789 (1990)