OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.47.000A43


View Full Text Article

Enhanced HTML    Acrobat PDF (958 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

History
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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-4-A43

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited