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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 26 — Sep. 10, 2001
  • pp: 4661–4666

Projection-Invariant Pattern Recognition with Logarithmic Harmonic Function and Wavelet Transform

Yih-Shyang Cheng and Hui-Chi Chen  »View Author Affiliations


Applied Optics, Vol. 40, Issue 26, pp. 4661-4666 (2001)
http://dx.doi.org/10.1364/AO.40.004661


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Abstract

A logarithmic harmonic filter can detect objects at different projection angles. The Mexican-hat wavelet function can extract edges of equal width for objects, regardless of their sizes. Hence incorporating wavelet filtering in the logarithmic harmonic filter can improve its performance. The theory is presented together with computer simulation. Finally, an experiment using a joint transform correlator is presented to verify the capability of the proposed filter.

© 2001 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(070.5010) Fourier optics and signal processing : Pattern recognition
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.7410) Image processing : Wavelets

Citation
Yih-Shyang Cheng and Hui-Chi Chen, "Projection-Invariant Pattern Recognition with Logarithmic Harmonic Function and Wavelet Transform," Appl. Opt. 40, 4661-4666 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-26-4661


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References

  1. A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
  2. B. V. K. VijayaKumar, “Tutorial survey of composite filter designs for optical correlators,” Appl. Opt. 31, 4773–4801 (1992).
  3. F. T. S. Yu and D. A. Gregory, “Optical pattern recognition: architectures and techniques,” Proc. IEEE 84, 733–752 (1996).
  4. Y. S. Cheng, “Real-time shift-invariant optical pattern recognition,” Int. J. High Speed Electron. Syst. 8, 733–748 (1997).
  5. Y. N. Hsu and H. H. Arsenault, “Optical pattern recognition using circular harmonic expansion,” Appl. Opt. 21, 4016–4019 (1982).
  6. D. Mendlovic, E. Maron, and N. Konforti, “Shift and scale invariant pattern recognition using Mellin radial harmonic,” Opt. Commun. 67, 172–176 (1988).
  7. D. Mendlovic, N. Konforti, and E. Maron, “Shift and projection invariant pattern recognition using logarithmic harmonics,” Appl. Opt. 29, 4784–4789 (1990).
  8. A. Moya, D. Mendlovic, J. Garcia, and C. Ferreira, “Projection-invariant pattern recognition with a phase-only logarithmic-harmonic-derived filter,” Appl. Opt. 35, 3862–3867 (1996).
  9. D. Mendlovic, Z. Zalevsky, I. Kiruschev, and G. Lebreton, “Composite harmonic filter for scale-, projection-, and shift-invariant pattern recognition,” Appl. Opt. 34, 310–316 (1995).
  10. D. Casasent, “Unified synthetic discriminant function computational formalism,” Appl. Opt. 23, 1620–1627 (1984).
  11. H. F. Yau, Y. OuYang, and S. W. Wang, “Shift, rotation and limited scale invariant pattern recognition using synthetic discriminant functions,” Opt. Rev. 2, 266–269 (1995).
  12. J. Yau and G. Lebreton, “One-dimensional logarithmic harmonic synthetic discriminant function filters for shift-, scale-, and projection-invariant pattern recognition,” Opt. Lett. 23, 537–539 (1998).
  13. Y. Sheng, D. Roberge, and H. H. Szu, “Optical wavelet transform,” Opt. Eng. 31, 1840–1845 (1992).
  14. C. S. Weaver and J. W. Goodman, “A technique for optically convolving two functions,” Appl. Opt. 5, 1248–1249 (1966).
  15. A. W. Lohmann and D. P. Paris, “Binary Fraunhofer holograms generated by computer,” Appl. Opt. 6, 1737–1748 (1967).

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