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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 4 — Feb. 1, 2008
  • pp: A43–A51

Spherical nonlinear correlations for global invariant three-dimensional object recognition

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

Applied Optics, Vol. 47, Issue 4, pp. A43-A51 (2008)

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We define a nonlinear filtering based on correlations on unit spheres to obtain both rotation- and scale-invariant three-dimensional (3D) object detection. Tridimensionality is expressed in terms of range images. The phase Fourier transform (PhFT) of a range image provides information about the orientations of the 3D object surfaces. When the object is sequentially rotated, the amplitudes of the different PhFTs form a unit radius sphere. On the other hand, a scale change is equivalent to a multiplication of the amplitude of the PhFT by a constant factor. The effect of both rotation and scale changes for 3D objects means a change in the intensity of the unit radius sphere. We define a 3D filtering based on nonlinear operations between spherical correlations to achieve both scale- and rotation-invariant 3D object recognition.

© 2008 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

Original Manuscript: April 30, 2007
Revised Manuscript: September 13, 2007
Manuscript Accepted: September 19, 2007
Published: October 18, 2007

Virtual Issues
Vol. 3, Iss. 3 Virtual Journal for Biomedical Optics

José J. Vallés, Pascuala García-Martínez, and Carlos Ferreira, "Spherical nonlinear correlations for global invariant three-dimensional object recognition," Appl. Opt. 47, A43-A51 (2008)

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