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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 32 — Nov. 10, 2000
  • pp: 5965–5970

Fully complex synthetic discriminant functions written onto phase-only modulators

Juan Campos, Andrés Márquez, María J. Yzuel, Jeffrey A. Davis, Don M. Cottrell, and Ignacio Moreno  »View Author Affiliations


Applied Optics, Vol. 39, Issue 32, pp. 5965-5970 (2000)
http://dx.doi.org/10.1364/AO.39.005965


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Abstract

Synthetic discriminant functions (SDF’s) are an effective tool for pattern-recognition applications. However, their experimental implementation is difficult because of the difficulty in writing full complex modulation functions onto spatial light modulators (SLM’s) with restricted coding domains. Iterative methods are required for the implementation of SDF filters in real SLM’s. A great deal of experimental research has been done with phase-only filters because they can be successfully implemented with liquid-crystal SLM’s. We have recently introduced a technique for encoding arbitrary amplitude information onto the phase-only filter, thus allowing us to encode an arbitrary complex function onto a phase-only SLM. We apply this technique to the generation of arbitrary complex SDF filters, thus avoiding the necessity of iterative algorithms. We examine the discrimination capabilities of fully complex SDF filters designed with different parameters and constraints. Experimental results obtained with liquid-crystal SLM’s are included.

© 2000 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(070.5010) Fourier optics and signal processing : Pattern recognition
(100.5090) Image processing : Phase-only filters
(100.6740) Image processing : Synthetic discrimination functions
(230.6120) Optical devices : Spatial light modulators

History
Original Manuscript: May 26, 1999
Revised Manuscript: February 2, 2000
Published: November 10, 2000

Citation
Juan Campos, Andrés Márquez, María J. Yzuel, Jeffrey A. Davis, Don M. Cottrell, and Ignacio Moreno, "Fully complex synthetic discriminant functions written onto phase-only modulators," Appl. Opt. 39, 5965-5970 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-32-5965


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References

  1. C. F. Hester, D. Casasent, “Multivariant technique for multiclass pattern recognition,” Appl. Opt. 19, 1758–1761 (1980). [CrossRef] [PubMed]
  2. B. V. K. Vijaya Kumar, “Minimum variance synthetic discriminant functions,” J. Opt. Soc. Am. A 3, 1579–1584 (1986). [CrossRef]
  3. A. Mahalanobis, B. V. K. Vijaya Kumar, D. Casasent, “Minimum average correlation energy filters,” Appl. Opt. 31, 1823–1833 (1987).
  4. Ph. Réfrégier, “Filter design for optical pattern recognition: multicriteria optimization approach,” Opt. Lett. 15, 854–856 (1990). [CrossRef] [PubMed]
  5. V. Laude, P. Chavel, Ph. Réfrégier, “Implementation of arbitrary real-valued correlation filters for the shadow-casting incoherent correlator,” Appl. Opt. 35, 5267–5274 (1996). [CrossRef] [PubMed]
  6. L. Figue, P. Ambs, “Implementation of optimal trade-off correlation filters with an optimized resolution technique,” J. Opt. A 1, 280–282 (1999). [CrossRef]
  7. J. L. Horner, P. D. Gianino, “Applying the phase-only filter concept to the synthetic discriminant function correlation filter,” Appl. Opt. 24, 851–855 (1985). [CrossRef] [PubMed]
  8. R. R. Kallman, “Optimal low noise phase-only and binary phase-only optical correlation filters for threshold detectors,” Appl. Opt. 25, 4216–4217 (1986). [CrossRef] [PubMed]
  9. D. A. Jared, D. J. Ennis, “Inclusion of filter modulation in synthetic-discriminant-function construction,” Appl. Opt. 28, 232–239 (1989). [CrossRef] [PubMed]
  10. U. Mahlab, J. Shamir, “Phase-only entropy-optimized filter generated by simulated annealing,” Opt. Lett. 14, 1168–1170 (1989). [CrossRef] [PubMed]
  11. M. Bernhardt, F. Wyrowski, O. Bryngdahl, “Encoding of SDF filters with methods of digital holography,” J. Mod. Opt. 40, 663–673 (1993). [CrossRef]
  12. R. D. Juday, “Optimal realizable filters and the minimum Euclidean distance principle,” Appl. Opt. 32, 5100–5111 (1993). [CrossRef] [PubMed]
  13. V. Laude, Ph. Réfrégier, “Multicriteria characterization of coding domains with optimal Fourier spatial light modulators filters,” Appl. Opt. 33, 4465–4471 (1994). [CrossRef] [PubMed]
  14. M. Montes-Usategui, J. Campos, I. Juvells, “Computation of arbitrarily constrained synthetic discriminant functions,” Appl. Opt. 34, 3904–3914 (1995). [CrossRef] [PubMed]
  15. J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38, 5004–5013 (1999). [CrossRef]
  16. B. V. K. Vijaya Kumar and L. Hassebrook, “Performance measures for correlation filters,” Appl. Opt. 29, 2997–3006 (1990). [CrossRef]
  17. J. A. Davis, D. M. Cottrell, J. E. Davis, R. A. Lilly, “Fresnel lens-encoded binary phase-only filters for optical pattern recognition,” Opt. Lett. 14, 659–661 (1989). [CrossRef] [PubMed]
  18. A. Tanone, Z. Zhang, C.-M. Uang, F. T. S. Yu, D. A. Gregory, “Phase modulation depth for a real-time kinoform using a liquid crystal television,” Opt. Eng. 32, 517–521 (1993). [CrossRef]
  19. Q. Tang, B. Javidi, “Multiple-object detection with a chirp-encoded joint transform correlator,” Appl. Opt. 32, 5079–5088 (1993). [CrossRef] [PubMed]
  20. I. Moreno, J. Campos, C. Gorecki, M. J. Yzuel, “Effects of amplitude and phase mismatching errors in the generation of a kinoform for pattern recognition,” Jpn. J. Appl. Phys. 34, 6423–6432 (1995). [CrossRef]
  21. I. Moreno, J. Campos, M. J. Yzuel, V. Kober, “Implementation of bipolar real-valued input scenes in a real-time optical correlator. Application to color pattern recognition,” Opt. Eng. 37, 144–150 (1998). [CrossRef]
  22. J. L. Horner, P. D. Gianino, “Phase-only matched filtering,” Appl. Opt. 23, 812–816 (1984). [CrossRef] [PubMed]
  23. G. G. Mu, X. M. Wang, Z. Q. Wang, “Amplitude-compensated matched filtering,” Appl. Opt. 27, 3461–3463 (1988). [CrossRef] [PubMed]

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