OSA's Digital Library

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)

View Full Text Article

Enhanced HTML    Acrobat PDF (311 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. B. Javidi, ed., Image Recognition and Classification: Algorithms, Systems, and Applications, (Marcel Dekker, New York, 2002). [CrossRef]
  2. .J. Rosen, ‘Three-dimensional electro-optical correlation,’’J. Opt. Soc. Am. A 15, 430-436 (1998). [CrossRef]
  3. J. Rosen, ‘‘Three-dimensional joint transform correlator,’’Appl. Opt. 37, 7538-7544 (1998). [CrossRef]
  4. T. Poon and T. Kim, 'Optical image recognition of three-dimensional objects,' Appl. Opt. 38, 370-381 (1999). [CrossRef]
  5. B. Javidi and E. Tajahuerce, ‘‘Three-dimensional object recognition by use of digital holography,’’Opt. Lett. 25, 610-612 (2000). [CrossRef]
  6. B. Javidi, I. Moon, S. Yeom, and E. Carapezza, "Three-dimensional imaging and recognition of microorganism using single-exposure on-line (SEOL) digital holography," Opt. Express 13, 4492-4506 (2005). [CrossRef] [PubMed]
  7. M. Takeda and K. Mutoh, ‘‘Fourier transform profilometry for the automatic measurement of 3-D object shapes,’’Appl. Opt. 22, 3977-3882 (1983).Q1 [CrossRef] [PubMed]
  8. J. J. Esteve-Taboada, D. Mas, and J. Garcia, ‘‘Three-dimensional object recognition by Fourier transform profilometry,’’Appl. Opt. 38, 4760-4765 (1999). [CrossRef]
  9. J. J. Esteve-Taboada, J. García and C. Ferreira, "Rotation invariant optical recognition of three-dimensional objectes," Appl. Opt. 39, 5998-5352 (2000).Q2 [CrossRef]
  10. J. García, J. J. Vallés and C. Ferreira, "Detection of three-dimensional objects under arbitrary rotations based on range images," Opt. Express. 11, 3352-3358 (2003). [CrossRef] [PubMed]
  11. J. J. Esteve-Taboada, N. Palmer, J.- Ch. Giannesini, J. García and C. Ferreira, "Recognition of polychromatic three-dimensional objects," Appl. Opt. 43, 433-441 (2004). [CrossRef] [PubMed]
  12. J. J. Esteve-Taboada, J. García and C. Ferreira, "Optical recognition of three-dimensional objects with scale invariance using classical convergent correlator," Opt. Eng. 41, 1324-1330 (2002). [CrossRef]
  13. M. Rioux, "Laser range finder based on synchronized scanners," Appl. Opt. 23, 3837-3844 (1984). [CrossRef] [PubMed]
  14. E. Paquet, M. Rioux and H. H. Arsenault, "Invariant pattern recognition for range images using the phase Fourier transform and a neural network," Opt. Eng. 34, 1178-1183 (1995). [CrossRef]
  15. E. Paquet, P. Garcia-Martinez, and J. Garcia, "Tridimensional invariant correlation based on phase-coded and sine-coded range images," J. Opt. 29, 35-39 (1998). [CrossRef]
  16. S. Chang, M. Rioux, and C. P. Grover, "Range face recognition based on the phase Fourier transform," Opt. Commun. 222, 143-153 (2003). [CrossRef]
  17. Y. Li and J. Rosen, "Scale invariant recognition of three-dimensional objects by use of a quasi-correlator," Appl. Opt. 42, 811-819 (2003). [CrossRef] [PubMed]
  18. D. Lefebvre, H. H. Arsenault, P. Garcia-Martinez, and C. Ferreira, "Recognition of unsegmented targets invariant under transformations of intensity," Appl. Opt. 41, 6135-6142 (2002). [CrossRef] [PubMed]
  19. H. H. Arsenault and P. García-Martínez, "Intensity-invariant nonlinear filtering for detection in camouflage" Appl. Opt. 44, 5483-5490 (2005). [CrossRef] [PubMed]
  20. H. H. Arsenault and D. Lefebvre, "Homomorphic cameo filter for pattern recognition that is invariant with change of illumination," Opt. Lett. 25, 1567-1569 (2000). [CrossRef]
  21. D. Lefebvre, H. H. Arsenault, and S. Roy, "Nonlinear filter for pattern recognition invariant to illumination and to out-ot-plane rotations," Appl. Opt. 42, 4658-4662 (2003). [CrossRef] [PubMed]
  22. S. Roy, D. Lefebvre, and H. H. Arsenault, "Recognition invariant under unknown affine transformations of intensity," Opt. Commun. 238, 69-77 (2004). [CrossRef]
  23. J. J. Vallés, J. García, P. García-Martínez, and H. H. Arsenault, "Three-dimensional object detection under arbitrary lighting conditions," Appl. Opt. 45, 5237-5247 (2006). [CrossRef] [PubMed]
  24. F. M. Dickey and L. A. Romero, "Normalized correlation for pattern recognition," Opt. Lett. 16, 1186-1188 (1991). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

Supplementary Material

» Media 1: AVI (1094 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited