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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 12 — Jun. 11, 2007
  • pp: 7818–7825

Phase Fourier vector model for scale invariant three-dimensional image detection

José J. Vallés, Pascuala García-Martínez, Javier García, and Carlos Ferreira  »View Author Affiliations


Optics Express, Vol. 15, Issue 12, pp. 7818-7825 (2007)
http://dx.doi.org/10.1364/OE.15.007818


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Abstract

A scale invariant 3D object detection method based on phase Fourier transform (PhFT) is addressed. Three-dimensionality is expressed in terms of range images. The PhFT of a range image gives information about the orientations of the surfaces in the 3D object. When the object is scaled, the PhFT becomes a distribution multiplied by a constant factor which is related to the scale factor. Then 3D scale invariant detection can be solved as illumination invariant detection process. Several correlation operations based on vector space representation are applied. Results show the tolerance of detection method to scale besides discrimination against false objects.

© 2007 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.5010) Fourier optics and signal processing : Pattern recognition
(100.6890) Image processing : Three-dimensional image processing

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: April 2, 2007
Revised Manuscript: May 11, 2007
Manuscript Accepted: May 15, 2007
Published: June 8, 2007

Citation
José J. Vallés, Pascuala Garcia-Martinez, Javier García, and Carlos Ferreira, "Phase Fourier vector model for scale invariant three-dimensional image detection," Opt. Express 15, 7818-7825 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-12-7818


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