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Applied Optics

Applied Optics


  • Vol. 39, Iss. 29 — Oct. 10, 2000
  • pp: 5347–5352

Shift- and scale-invariant recognition of contour objects with logarithmic radial harmonic filters

Antonio Moya, José J. Esteve-Taboada, Javier García, and Carlos Ferreira  »View Author Affiliations

Applied Optics, Vol. 39, Issue 29, pp. 5347-5352 (2000)

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The phase-only logarithmic radial harmonic (LRH) filter has been shown to be suitable for scale-invariant block object recognition. However, an important set of objects is the collection of contour functions that results from a digital edge extraction of the original block objects. These contour functions have a constant width that is independent of the scale of the original object. Therefore, since the energy of the contour objects decreases more slowly with the scale factor than does the energy of the block objects, the phase-only LRH filter has difficulties in the recognition tasks when these contour objects are used. We propose a modified LRH filter that permits the realization of a shift- and scale-invariant optical recognition of contour objects. The modified LRH filter is a complex filter that compensates the energy variation resulting from the scaling of contour objects. Optical results validate the theory and show the utility of the newly proposed method.

© 2000 Optical Society of America

OCIS Codes
(100.5010) Image processing : Pattern recognition

Original Manuscript: February 23, 2000
Revised Manuscript: June 27, 2000
Published: October 10, 2000

Antonio Moya, José J. Esteve-Taboada, Javier García, and Carlos Ferreira, "Shift- and scale-invariant recognition of contour objects with logarithmic radial harmonic filters," Appl. Opt. 39, 5347-5352 (2000)

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