OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 33, Iss. 20 — Jul. 10, 1994
  • pp: 4465–4471

Multicriteria characterization of coding domains with optimal Fourier spatial light modulator filters

V. Laude and Ph. Réfrégier  »View Author Affiliations

Applied Optics, Vol. 33, Issue 20, pp. 4465-4471 (1994)

View Full Text Article

Enhanced HTML    Acrobat PDF (985 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A multicriteria optimization method is introduced in order to find optimal filters for implementation on arbitrary spatial light modulators in the Fourier plane of an optical correlator. This method is applied to the trade-offs between noise robustness, sharpness of the correlation peak, and optical efficiency. A fast and simple algorithm is given in this case, which is independent of the particular form of the spatial light modulator coding constraint. It is used to characterize and to compare typical coding domains through the performances of their associated optimal filters.

© 1994 Optical Society of America

Original Manuscript: September 24, 1993
Revised Manuscript: January 27, 1994
Published: July 10, 1994

V. Laude and Ph. Réfrégier, "Multicriteria characterization of coding domains with optimal Fourier spatial light modulator filters," Appl. Opt. 33, 4465-4471 (1994)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. B. V. K. Vijaya Kumar, L. Hassebrook, “Performance measures for correlation filters,” Appl. Opt. 29, 2997–3006 (1990). [CrossRef]
  2. J. L. Horner, “Metrics for assessing pattern-recognition performance,” Appl. Opt. 31, 165–166 (1992). [CrossRef] [PubMed]
  3. B. V. K. Vijaya Kumar, C. Hendrix, D. W. Carlson, “Trade-offs in the design of correlation filters,” in Optical Pattern Recognition, J. L. Horner, B. Javidi, eds., Proc. Soc. Photo-Opt. Instrum. Eng.CR40, 191–215 (1992).
  4. R. D. Juday, “Correlation with a spatial light modulator having phase and amplitude cross coupling,” Appl. Opt. 28, 4865–4869 (1989). [CrossRef] [PubMed]
  5. M. W. Farn, J. W. Goodman, “Optical maximum correlation filter for arbitrarily constrained devices,” Appl. Opt. 28, 3362–3366 (1989). [CrossRef]
  6. B. V. K. Vijaya Kumar, R. D. Juday, P. Karivaratha Rajan, “Saturated filters,” J. Opt. Soc. Am. A 9, 405–412 (1992). [CrossRef]
  7. R. D. Juday, J. L. Lacroix, P. Karivaratha Rajan, “Selection of LCTV operating curves for input and filter,” in Optical Pattern Recognition III, D. P. Casasent, T.-H. Chao, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1701, 78–82 (1992).
  8. R. D. Juday, “Optimal realizable filters and the minimum distance principle,” Appl. Opt. 32, 5100–5111 (1993). [CrossRef] [PubMed]
  9. J. N. Mait, J. van der Gracht, S. D. Sarama, “Diffractive filter design for SLM’s in optical processing and pattern recognition systems,” in Optical Pattern Recognition TV, D. P. Casasent, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1959, 250–257 (1993).
  10. Ph. Réfrégier, “Optimal trade-off filters for noise robustness, sharpness of the correlation peak, and Horner efficiency,” Opt. Lett. 16, 829–831 (1991). [CrossRef] [PubMed]
  11. Ph. Réfrégier, B. V. K. Vijaya Kumar, C. Hendrix, “Multicriteria optimal binary amplitude phase-only filters,” J. Opt. Soc. Am. A 9, 2118–2125 (1992). [CrossRef]
  12. L. P. Yaroslavsky, “Is the phase-only filter and its modifications optimal in terms of the discrimination capability in pattern recognition?”Appl. Opt. 31, 1677–1679 (1992). [CrossRef] [PubMed]
  13. S. S. Cotariu, S. E. Monroe, J. Knopp, “A live input, live filter, liquid crystal correlator,” in Advances in Optical Information Processing V, D. R. Pape, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1704, 248–256 (1992).
  14. D. A. Gregory, J. A. Kirsch, E. C. Tarn, “Full complex modulation using liquid-crystal televisions,” Appl. Opt. 31, 163–165 (1992). [CrossRef] [PubMed]
  15. K. Lu, B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29, 240–246 (1990). [CrossRef]
  16. N. Konforti, E. Marom, S.-T. Wu, “Phase-only modulation with twisted nematic liquid-crystal spatial light modulators,” Opt. Lett. 13, 251–253 (1988). [CrossRef] [PubMed]
  17. T. Kurokawa, S. Fukushima, “Spatial light modulators using ferroelectric liquid crystal,” Opt. Quantum Electron. 24, 1151–1163 (1992). [CrossRef]
  18. B. A. Kast, M. Giles, S. Lindell, D. Flannery, “Implementation of ternary phase-amplitude filters for improved correlation discrimination,” Appl. Opt. 28, 1044–1046 (1989). [CrossRef] [PubMed]
  19. S. Mazé, P. Joffre, Ph. Réfrégier, “Influence of input information coding for correlation operations,” in Optics for Computers: Architectures and Technologies, G. J. Lebreton, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1505, 20–31 (1992).
  20. Ph. Réfrégier, “Filter design for optical pattern recognition: multicriteria optimization approach,” Opt. Lett. 15, 854–856 (1990). [CrossRef] [PubMed]
  21. J. Figue, Ph. Réfrégier, “On the optimality of trade-off filters,” Appl. Opt. 32, 1933–1935 (1993). [CrossRef] [PubMed]
  22. V. Laude, S. Mazé, P. Chavel, Ph. Réfrégier, “Amplitude and phase coding measurements of a liquid crystal television,” Opt. Commun. 103, 33–38 (1993). [CrossRef]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited