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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 20 — Jul. 10, 2006
  • pp: 4850–4857

Wavelet-modified maximum average correlation height filter for rotation invariance that uses chirp encoding in a hybrid digital–optical correlator

Shilpi Goyal, Naveen K. Nishchal, Vinod K. Beri, and Arun K. Gupta  »View Author Affiliations


Applied Optics, Vol. 45, Issue 20, pp. 4850-4857 (2006)
http://dx.doi.org/10.1364/AO.45.004850


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Abstract

We discuss and implement a wavelet-modified maximum average correlation height (MACH) filter for 0 ° 360 ° in-plane rotations in a hybrid digital–optical correlator. Use of a wavelet transform improves the performance of the MACH filter by reducing the number of filters that are required to identify a target rotated at any angle between 0 °   and   360 ° in-plane rotations and enhances the autocorrelation peak intensity significantly. The output of a hybrid digital–optical correlator contains two autocorrelation peaks and a strong dc. Using a chirp function with the wavelet-modified MACH filter, the correlation signals are focused in three different planes. Thus placing a peak-capturing CCD camera at a particular plane, only one autocorrelation peak is recorded, discarding the strong dc and other autocorrelation peaks. A signal-to-noise ratio has been calculated as a metric of goodness of the proposed wavelet-modified MACH filter.

© 2006 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(100.4550) Image processing : Correlators

History
Original Manuscript: November 2, 2005
Revised Manuscript: February 14, 2006
Manuscript Accepted: February 21, 2006

Citation
Shilpi Goyal, Naveen K. Nishchal, Vinod K. Beri, and Arun K. Gupta, "Wavelet-modified maximum average correlation height filter for rotation invariance that uses chirp encoding in a hybrid digital-optical correlator," Appl. Opt. 45, 4850-4857 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-20-4850


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References

  1. B. Javidi and J.L.Horner, eds., Real-time Optical Information Processing (Academic, 1994).
  2. F.T. S.Yu and S. Jutamulia, eds., Optical Pattern Recognition (Cambridge U. Press, 1998).
  3. B. Javidi, ed., Image Recognition and Classification: Algorithms, Systems, and Applications (Marcel Dekker, 2002). [CrossRef]
  4. A. Mahalanobis, B. V. K. Vijaya Kumar, S. Song, S. R. F. Sims, and J. F. Epperson, "Unconstrained correlation filters," Appl. Opt. 33, 3751-3759 (1994). [CrossRef] [PubMed]
  5. A. Mahalanobis and B. V. K. Vijaya Kumar, "Optimality of the maximum average correlation height filter for detection of targets in noise," Opt. Eng. 36, 2642-2648 (1997). [CrossRef]
  6. M. Alkanhal, B. V. K. Vijaya Kumar, and A. Mahalanobis, "Improving the false alarm capabilities of the maximum average correlation height correlation filter," Opt. Eng. 39, 1133-1141 (2000). [CrossRef]
  7. A. V. Nevel and A. Mahalanobis, "Comparative study of maximum average correlation height filter variants using ladar imagery," Opt. Eng. 42, 541-550 (2003). [CrossRef]
  8. R. M. Rao and A. S. Bopardikar, Wavelet Transforms: Introduction to Theory and Applications (Addison-Wesley, 1998).
  9. H. Szu, Y. Sheng, and J. Chang, "Wavelet transform as a bank of matched filters," Appl. Opt. 31, 3267-3277 (1992). [CrossRef] [PubMed]
  10. D. Roberge and Y. Sheng, "Optical wavelet matched filter," Appl. Opt. 33, 5287-5293 (1994). [CrossRef] [PubMed]
  11. Y. Sheng, D. Roberge, H. Szu, and T. Lu, "Optical wavelet matched filters for shift-invariant pattern recognition." Opt. Lett. 18, 299-301 (1993). [CrossRef] [PubMed]
  12. R. Tripathi and K. Singh, "Pattern discrimination using a bank of wavelet filters in a joint transform correlator," Opt. Eng. 37, 1-7 (1998). [CrossRef]
  13. A. Sinha and K. Singh, "The design of a composite wavelet matched filter for face recognition using breeder genetic algorithm," Opt. Lasers Eng. 43, 1277-1291 (2005). [CrossRef]
  14. T.-C. Liang and Y.-S. Cheng, "Rotational-invariant pattern recognition using circular harmonic and optical wavelet transform," Opt. Rev. 1, 198-201 (1994).
  15. M. Pohit and K. Singh, "Performance of a wavelet matched filter with optimized dilation designed using simulated annealing algorithm," Opt. Commun. 187, 337-346 (2001). [CrossRef]
  16. R. Young, C. Chatwin, and B. Scott, "High-speed hybrid optical/digital correlator system," Opt. Eng. 32, 2608-2615 (1993). [CrossRef]
  17. P. Birch, R. Young, F. Claret-Tournier, D. Budgett, and C. Chatwin, "Computer-generated complex filter for an all-optical and a digital-optical hybrid correlator," Opt. Eng. 41, 105-111 (2002). [CrossRef]
  18. P. M. Birch, G. Li, F. Claret-Tournier, R. Young, D. Budgett, and C. Chatwin, "Optical design of a miniature Fourier transform lens system for a hybrid digital-optical correlator," Opt. Eng. 41, 1650-1654 (2002). [CrossRef]
  19. P. M. Birch, F. Claret-Tournier, D. Budgett, R. Young, and C. Chatwin, "Optical and electronic design of a hybrid-optical correlator system," Opt. Eng. 41, 32-40 (2002). [CrossRef]
  20. B. S. Lowans and M. F. Lewis, "Hybrid correlator employing a chirp-encoded binary phase-only filter," Opt. Lett. 25, 1195-1197 (2000). [CrossRef]
  21. Q. Tang and B. Javidi, "Technique for reducing the redundant and self-correlation terms in joint transform correlators," Appl. Opt. 32, 1911-1918 (1993). [CrossRef] [PubMed]
  22. V. K. Beri, A. Aran, S. Goyal, A. Bhagatji, and A. K. Gupta, "Rotation/scale invariant hybrid digital/optical correlator system for automatic target recognition," J. Opt. (India) (to be published).
  23. J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, "Encoding amplitude information onto phase-only filters," Appl. Opt. 38, 5004-5013 (1999). [CrossRef]
  24. J. A. Davis, D. E. McNamara, D. M. Cottrell, and T. Sonehara, "Two-dimensional polarization encoding with a phase-only liquid-crystal spatial light modulator," Appl. Opt. 39, 1549-1554 (2000). [CrossRef]
  25. J. A. Davis, K. O. Valadez, and D. M. Cottrell, "Encoding amplitude and phase information onto a binary phase-only spatial light modulator," Appl. Opt. 42, 2003-2008 (2003). [CrossRef] [PubMed]

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