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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 8, Iss. 8 — Aug. 1, 1991
  • pp: 1233–1239

Optical pattern recognition based on convex functions

Uri Mahlab and Joseph Shamir  »View Author Affiliations


JOSA A, Vol. 8, Issue 8, pp. 1233-1239 (1991)
http://dx.doi.org/10.1364/JOSAA.8.001233


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Abstract

Spatial filters based on the properties of convex functions can be generated directly on a hybrid electro-optical system. As an example, simulated annealing was used to design highly selective spatial filters. Laboratory experiments demonstrated efficient pattern recognition and class discrimination. Several procedures for designing synthetic discriminant functions discussed in the literature are shown to be special cases of the present procedure.

© 1991 Optical Society of America

History
Original Manuscript: July 27, 1990
Revised Manuscript: March 4, 1991
Manuscript Accepted: March 9, 1991
Published: August 1, 1991

Citation
Uri Mahlab and Joseph Shamir, "Optical pattern recognition based on convex functions," J. Opt. Soc. Am. A 8, 1233-1239 (1991)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-8-8-1233


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References

  1. A. B. VanderLugt, “Signal detection by complex spatial filtering,”IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
  2. C. F. Hester, D. Casasent, “Multivariant technique for multiclass pattern recognition,” Appl. Opt. 19, 1758–1761 (1980). [CrossRef] [PubMed]
  3. D. Casasent, “Unified synthetic discriminant function computational formulation,” Appl. Opt. 23, 1620–1627 (1984). [CrossRef] [PubMed]
  4. V. Sharma, D. Casasent, “Optimal linear discriminant functions,” in Solid State Imagers and Their Applications, G. J. Declerk, ed., Proc. Soc. Photo-Opt. Instrum. Eng.591, 50–55 (1985).
  5. Z. Bahri, B. V. K. Vijaya Kumar, “Generalized synthetic discriminant functions,” J. Opt. Soc. Am. A 5, 562–571 (1988). [CrossRef]
  6. D. Casasent, W. T. Chang, “Correlation synthetic discrimination functions,” Appl. Opt. 25, 2343–2350 (1986). [CrossRef] [PubMed]
  7. A. Mahalanobis, B. V. K. Vijaya Kumar, D. Casasent, “Minimum average correlation energy filters,” Appl. Opt. 26, 3633–3640 (1987). [CrossRef] [PubMed]
  8. B. V. K. Vijaya Kumar, “Minimum-variance synthetic discrimination functions,” J. Opt. Soc. Am. A 3, 1579–1584 (1986). [CrossRef]
  9. R. Kallman, “Construction of low noise optical correlation filters,” Appl. Opt. 25, 1032–1033 (1986). [CrossRef] [PubMed]
  10. M. Fleisher, U. Mahlab, J. Shamir, “Entropy optimized filter for pattern recognition,” Appl. Opt. 29, 2091–2098 (1990). [CrossRef] [PubMed]
  11. U. Mahlab, J. Shamir, “Phase-only entropy-optimized filter generated by simulated annealing,” Opt. Lett. 14, 1168–1170 (1989). [CrossRef] [PubMed]
  12. A. W. Robert, D. E. Veberg, Convex Function (Academic, New York, 1973).
  13. B. V. K. Vijaya Kumar, Z. Bahri, L. Hassebrook, “Review of SDF algorithm,” in Real-Time Signal Processing for Industrial Applications, B. Javidi, ed., Proc. Soc. Photo-Opt. Instrum. Eng.960, 18–29 (1988).
  14. C. E. Shannon, W. Weaver, The Mathematical Theory of Communication (University of Illinois, Urbana, Ill., 1949).
  15. J. Ziv, M. Zakai, “On functionals satisfying a data-processing theorem,”IEEE Trans. Inf. Theory IT-19, 275–283 (1973). [CrossRef]
  16. J. Rosen, U. Mahlab, J. Shamir, “Adaptive learning with joint transform correlator,” Opt. Eng. 29, 1101–1106 (1990). [CrossRef]
  17. P. J. M. Van Luahoven, E. H. L. Aarts, Simulated Annealing: Theory and Applications (Reidel, Dordrecht, The Netherlands, 1987).
  18. S. Sola, E. Levin, M. Fleisher, “Accelerated learning in layered neural networks,” Complex Syst. 2, 625–640 (1988).
  19. G. Zalman, J. Shamir, “Maximum discrimination filter,” J. Opt. Soc. Am. A 8, 814–821 (1991). [CrossRef]
  20. U. Mahlab, J. Rosen, J. Shamir, “Iterative generation of complex RDF in joint transform correlators,” Opt. Lett. (to be published.)
  21. U. Mahlab, J. Shamir, J. H. Caulfield, “Genetic algorithm for optical pattern recognition,” Opt. Lett. (to be published). [PubMed]

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