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Applied Optics

Applied Optics


  • Vol. 33, Iss. 14 — May. 10, 1994
  • pp: 3127–3134

Neural networks applied to diffraction-pattern sampling

Nicholas George and Shen-ge Wang  »View Author Affiliations

Applied Optics, Vol. 33, Issue 14, pp. 3127-3134 (1994)

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While diffraction-pattern sampling has been widely applied in the classification of patterns, still its usage has been limited somewhat by the need to devise rather sophisticated algorithms. In this paper we describe sorting or classification of a variety of patterns with commercially available neural-network software together with the ring–wedge photodetector to supply optical transform data for the input neurons. With this combination of neural networks and diffraction-pattern sampling it is no longer necessary to write specialized software. The training and testing methodology is carried out for this new system, and excellent results are obtained for sorting thumbprints. In sorting thumbprints the neural network can be trained for orientation-independent or wide-scale size-independent classifications by use of ring-only or wedge-only input neurons, respectively. Separate experiments are described for the sorting of particulates. Again, these are cases in which writing appropriate software based on diffraction theory would be extremely difficult. Two interesting novel neural networks are obtained: one is for real-time control of a submicrometer colloidal suspension of CdS, and the second is for concentration measurements of 2.02-μm polyvinyltoulene spheres in methyl alcohol. Widespread new applications are predicted for this hybrid system that combines diffraction-pattern sampling and the neural network.

© 1994 Optical Society of America

Original Manuscript: January 25, 1993
Revised Manuscript: July 22, 1993
Published: May 10, 1994

Nicholas George and Shen-ge Wang, "Neural networks applied to diffraction-pattern sampling," Appl. Opt. 33, 3127-3134 (1994)

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  1. C. A. Taylor, H. Lipson, Optical Transforms: Their Preparation and Application to X-Ray Diffraction Problems (Bell, London, 1964).
  2. J. R. Leger, S. H. Lee, “Signal processing using hybrid systems,” in Optical Transforms, H. Stark, ed. (Academic, London, 1972).
  3. Henry Stark, ed., Applications of Optical Fourier Transforms (Academic, New York, 1982), pp. 1–30, 162–180.
  4. G. G. Lendaris, L. L. Stanley, “Diffraction pattern sampling for automatic pattern recognition,” Proc. IEEE 58, 198 (1970). [CrossRef]
  5. N. George, J. T. Thomasson, A. Spindel, “Photodetector light pattern detector,” U.S. patent3,689,772 (5September1972)
  6. N. George, H. L. Kasdan, “Diffraction pattern sampling for recognition and metrology,” in Electro-Optical Systems Design Conference 1975, Proceedings of Anaheim International Laser Exposition (Industrial and Scientific Conference Management, Chicago, Ill., 1975), pp. 494–503.
  7. H. Kasdan, D. Mead, “Out of the laboratory and into the factory,” in Proceedings of Electro-Optical System Design (Industrial and Scientific Conference Management, Chicago, Ill., 1975), p. 248.
  8. G. Gonesbet, G. Gréhan, eds., Optical Particle Sizing (Plenum, New York, 1988).
  9. D. E. Glover, “A hybrid optical Fourier/electronic neurocomputer machine vision inspection system,” in Proceedings of Vision ’88 Conference (Society of Manufacturing Engineering, Dearborn, Mich., 1988), Vol. 2, pp. 8.17–8.104.
  10. D. Clark, “An optical feature extractor for machine vision inspection,” in Proceedings of Vision ‘87 Conference (Society of Manufacturing Engineering, Dearborn, Mich., 1987), Vol. 1, pp. 17.23–17.50.
  11. D. Clark, D. P. Casasent, “Practical optical Fourier analysis for high speed inspection,” Opt. Eng. 27, 365–371 (1988).
  12. J. Belilove, “Optical processing feature extraction, a survey in the consumable goods industry,” in Proceedings of Vision ‘87 Conference (Society of Manufacturing Engineering, Dearborn, Mich., 1987), Vol. 1, pp. 14.1–14.25.
  13. B. Widrow, study director, DARPA Neural Network Study (AFCEA International, Fairfax, Va., 1988).
  14. N. George, S. G. Wang, D. L. Venable, “Pattern recognition using the ring–wedge detector and neural-network software,” in Optical Pattern Recognition II, H. J. Caulfield, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1134, 96–106 (1989).
  15. J. Figue, P. Refregiér, H. Rajbenbach, J. Huignard, “Neural optoelectronic correlator for pattern recognition,” in Optical Information Processing Systems and Architectures III, B. Javidi, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1564, 550–561 (1991).
  16. D. B. Goodwin, G. Cappiello, D. Coppeta, J. Govignon, “Hybrid digital/optical ATR system,” in Optical Information Processing Systems and Architectures III, B. Javidi, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1564, 539–549 (1991).
  17. B. Telfer, D. Casasent, “Ho–Kashyap optical associative processors,” Appl. Opt. 29, 1191–1202 (1990). [CrossRef] [PubMed]
  18. B. Telfer, D. Casasent, “Minimum-cost Ho–Kashyap associative processor for piecewise-hyperspherical classification,” in Proceedings of the International Joint Conference on Neural Networks, M. Caudill, ed. (Institute of Electrical and Electronics Engineers, New York, 1991), pp. 1189–1194.
  19. D. Casasent, E. Barnard, “Adaptive clustering optical neural net,” Appl. Opt. 29, 2603–2615 (1990). [CrossRef] [PubMed]
  20. D. E. Rumelhart, J. L. McClelland, and the PDP Research Group, Parallel Distributed Processing, (MIT Press, Cambridge, 1988), Vols. 1 and 2.
  21. R. P. Lippmann, “An introduction to computing with neural nets,” IEEE Trans. Acoust. Speech Signal Process ASSP-4, 4–22 (1987).
  22. NeuralWorks, Revision 2.00 (Neural Ware, Inc., Sewickley, Pa., 1988).
  23. Automatic Recognitionand Control, Inc., 24 Widewaters Lane, Pittsford, N.Y. 14534.
  24. S. Voyutsky, Colloid Chemistry (Mir, Moscow, 1978), p. 110.

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