Send to

Choose Destination
See comment in PubMed Commons below
Appl Opt. 2000 Oct 10;39(29):5347-52.

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

Author information

  • 1Departament Interuniversitari d'Optica, Facultat de Física, Universitat de València, c/Doctor Moliner 50, 46100 Burjassot, València, Spain.


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.

PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Loading ...
    Write to the Help Desk