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Applied Optics

Applied Optics


  • Vol. 42, Iss. 5 — Feb. 10, 2003
  • pp: 811–819

Scale-invariant recognition of three-dimensional objects by use of a quasi-correlator

Youzhi Li and Joseph Rosen  »View Author Affiliations

Applied Optics, Vol. 42, Issue 5, pp. 811-819 (2003)

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A method of scale-invariant recognition of three-dimensional (3-D) objects is presented. Several images of the observed scene are recorded under white-light illumination from several different points of view and compressed into a single complex two-dimensional matrix. After filtering with a single scale-invariant filter, the resultant function is then coded into a computer-generated hologram (CGH). When this CGH is coherently illuminated, a correlation space is reconstructed in which light peaks indicate the existence and location of true targets in the tested 3-D scene. The light peaks are detectable for different sizes of the true objects, as long as they are within the invariance range of the filter. Experimental results in a complete electro-optical system are presented, and comparisons with other systems are investigated by use of computer simulation.

© 2003 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
(100.4550) Image processing : Correlators
(100.5010) Image processing : Pattern recognition
(100.5090) Image processing : Phase-only filters
(100.6890) Image processing : Three-dimensional image processing
(110.4190) Imaging systems : Multiple imaging
(110.6880) Imaging systems : Three-dimensional image acquisition

Original Manuscript: June 5, 2002
Revised Manuscript: September 3, 2002
Published: February 10, 2003

Youzhi Li and Joseph Rosen, "Scale-invariant recognition of three-dimensional objects by use of a quasi-correlator," Appl. Opt. 42, 811-819 (2003)

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  1. J. Rosen, “Three-dimensional optical Fourier transform and correlation,” Opt. Lett. 22, 964–966 (1997). [CrossRef] [PubMed]
  2. J. Rosen, “Three-dimensional electro-optical correlator,” 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. Y. Li, J. Rosen, “Three-dimensional correlator with general complex filters,” Appl. Opt. 39, 6561–6572 (2000). [CrossRef]
  5. Y. Li, J. Rosen, “Object recognition using three-dimensional optical quasi-correlation,” J. Opt. Soc. Am. A 19, 1755–1762 (2002). [CrossRef]
  6. J. J. Esteve-Taboada, D. Mas, J. Garcia, “Three-dimensional object recognition by Fourier transform profilometry,” Appl. Opt. 38, 4760–4765 (1999). [CrossRef]
  7. B. Javidi, E. Tajahuerce, “Three-dimensional object recognition by use of digital holography,” Opt. Lett. 25, 610–612 (2000). [CrossRef]
  8. A. Vander Lugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964). [CrossRef]
  9. J. Goodman, Introduction to Fourier Optics, 2nd ed., (McGraw-Hill, New York, 1996) Chap. 8.
  10. Y. Li, J. Rosen, “Three-dimensional pattern recognition with a single two-dimensional synthetic reference function,” Appl. Opt. 39, 1251–1259 (2000). [CrossRef]
  11. J. J. Esteve-Taboada, J. Garcia, C. Ferreira, “Rotation-invariant optical recognition of three-dimensional objects,” Appl. Opt. 39, 5998–6005 (2000). [CrossRef]
  12. J. J. Esteve-Taboada, J. Garcia, C. Ferreira, “Optical recognition of three-dimensional objects with scale invariance using a classical convergent correlator,” Opt. Eng. 41, 1324–1330 (2002). [CrossRef]
  13. M. Takeda, K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977–3982 (1983). [CrossRef] [PubMed]
  14. Y. Li, D. Abookasis, J. Rosen, “Computer-generated holograms of three-dimensional realistic objects recorded without wave interference,” Appl. Opt. 40, 2864–2870 (2001). [CrossRef]
  15. D. Mendlovic, E. Marom, N. Konforti, “Shift and scale invariant pattern recognition using Mellin radial harmonic,” Opt. Commun. 67, 172–176 (1988). [CrossRef]
  16. J. Rosen, J. Shamir, “Scale invariant pattern recognition with logarithmic radial harmonic filters,” Appl. Opt. 28, 240–244 (1989). [CrossRef] [PubMed]

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