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Applied Optics

Applied Optics


  • Vol. 36, Iss. 20 — Jul. 10, 1997
  • pp: 4812–4815

Coordinate-transformed filter for shift-invariant and scale-invariant pattern recognition

Dan Cojoc, M. Teresa Molina, Javier García, and Carlos Ferreira  »View Author Affiliations

Applied Optics, Vol. 36, Issue 20, pp. 4812-4815 (1997)

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A variable radial coordinate transformation of the phase-only filter (POF) that is dependent on the energy’s angular distribution of the target spectrum is used to perform shift- and scale-invariant pattern recognition. The POF of a basic size target and the cumulative energy of its angular distribution are calculated. The filter function is then transformed by means of stretching along the radial coordinate so that the same energy contribution to the correlation peak is provided for any size target. The maximum ratio for recognizing scaled objects is 1:1.5. Computer simulations and optical experiments showing the performances of the filter are presented.

© 1997 Optical Society of America

Original Manuscript: October 17, 1996
Revised Manuscript: February 18, 1997
Published: July 10, 1997

Dan Cojoc, M. Teresa Molina, Javier García, and Carlos Ferreira, "Coordinate-transformed filter for shift-invariant and scale-invariant pattern recognition," Appl. Opt. 36, 4812-4815 (1997)

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