Adaptive pattern recognition correlators

Optical Engineering

Volumn 36, Issue 10, 1997, Pages 2675-2689

  Shamir, Joseph ^a,b,c,d  

^a SPIE   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c SPIE   (Israel)

^d International Commission for Optics   (Israel)

Author keywords

2f correlator; 4f correlator; Adaptive processors; Correlation pattern recognition; Hybrid electro optical correlators; Optimization; Spatial filters; Spatial light modulators

Indexed keywords

EID: 6244259919     PISSN: 00913286     EISSN: None     Source Type: Journal    
DOI: 10.1117/1.601318     Document Type: Article

References (70)

1. A. B. VanderLugt, "Signal detection by complex spatial filtering," IEEE Trans. Inf. Theory IT-10, 139-145 (1964).
2. H. J. Caulfield and W. T. Maloney, "Improved discrimination in optical character recognition," Appl. Opt. 8, 2354-2356 (1969).
3. B. Braunecker, R. Hauch, and A. W. Lohmann, "Optical character recognition based on nonredundant correlation measurements," Appl. Opt. 18, 2746-2753 (1979).
4. C. F. Hester and D. Casasent, "Multivariant technique for multiclass pattern recognition," Appl. Opt. 19, 1758-1761 (1980).
5. D. Casasent, "Unified synthetic discriminant function computational formulation," Appl. Opt. 23, 1620-1627 (1984).
6. B. V. K. Vijaya Kumar, "Tutorial survey of composite filter designs for optical correlators," Appl. Opt. 31, 4773-4801 (1992)
7. Y. Hsu and H. Arsenault, "Optical pattern recognition using circular harmonic expansion," Appl. Opt. 21, 4016-4019 (1982).
8. J. Rosen and J. Shamir, "Circular harmonic phase filters for efficient rotation-invariant pattern recognition," Appl. Opt. 27, 2895-2899 (1988).
9. D. Casasent and D. Psaltis, "New optical transforms for pattern recognition," Proc. IEEE 65, 77-84 (1977).
10. J. Rosen and J. Shamir, "Scale invariant pattern recognition with logarithmic radial harmonic filters," Appl. Opt. 28, 240-244 (1989).
11. D. Mendlovic, E. Marom, and N. Konforti, "Shift and scale invariant pattern recognition using Mellin radial harmonic," Opt. Commun. 67, 172-176 (1988).
12. G. G. Lendaris and G. L. Stanley, "Diffraction-pattern sampling for automatic pattern recognition," Proc. IEEE 58, 198-216 (1970).
13. J. R. Leger and S. H. Lee, "Signal processing using hybrid systems," in Applications of Optical Fourier Transforms, H. Stark, Ed., pp. 131-207, Academic Press, New York (1982).
14. J. W. Goodman, Introduction to Fourier Optics, 2nd ed., McGraw-Hill Company, New York (1996).
15. F. T. S. Yu, Optical Information Processing, John Wiley & Sons, New York (1983).
16. J. L. Horner and P. D. Gianino, "Phase only matched filtering," Appl. Opt. 23, 812-816 (1984).
17. B. I. Spektor, "A method for synthesizing the phase structure of kinoforms," Avtometriya 6, 34-38 (1985). English translation in Optoelectron. Instrum. Data Process. 6, 35-38 (1985).
18. B. I. Spektor, "A method for synthesizing the phase structure of kinoforms," Avtometriya 6, 34-38 (1985). English translation in Optoelectron. Instrum. Data Process. 6, 35-38 (1985).
19. N. Konforti, E. Marom, and S.-T. Wu, "Phase-only modulation with twisted nematic LC SLMs," Opt. Lett. 13, 251-253 (1988).
20. C. S. Weaver and J. W. Goodman, "A technique for optically convolving two functions," Appl. Opt. 5, 1248-1249 (1966).
21. F. T. S. Yu and X. J. Lu, "A real-time programmable joint transform correlator," Opt. Commun. 52, 10-16 (1984).
22. J. Rosen, U. Mahlab, and J. Shamir, "Adaptive learning with joint transform correlators," Opt. Eng. 29, 1101-1106 (1990).
23. D. Mendelovic, E. Marom, and N. Konforti, "Complex reference invariant joint transform correlator," Opt. Lett. 15, 1224-1226 (1990).
24. D. Mendelovic, M. Deutsch, E. Marom, and N. Konforti, "Composite harmonic joint transform correlator for tilt invariant pattern recognition," Opt. Commun. 79, 273-279 (1990).
25. U. Mahlab, J. Rosen, and J. Shamir, "Iterative generation of complex reference functions in a joint transform correlator," Opt. Lett. 16, 330-332 (1991).
26. R. Piestun, J. Rosen, and J. Shamir, "Generation of continuous complex valued functions for the joint transform correlator," Appl. Opt. 33, 4398-4405 (1994).
27. J. Shamir and H. J. Caulfield, "Parallel optical processors - some basic considerations," Int. J. Opt. Comput. 2, 73-78 (1991).
28. H. J. Caulfield, M. P. Schamshulla, and L. Zhang, "Maximal limits on information throughput of spatial light modulators," Opt. Lett. 20, 1803-1805 (1995).
29. M. Nazarathy and J. Shamir, "Fourier optics described by operator algebra" J. Opt. Soc. Am. 70, 150-158 (1980).
30. M. Nazarathy and J. Shamir, "First-order optics - a canonical operator representation - lossless systems," J. Opt. Soc. Am. 72, 356-364 (1982).
31. J. Shamir and N. Cohen, "Root and power transformations in optics," J. Opt. Soc. Am. A 12, 2415-2423 (1995).
32. L. Mertz, Transformations in Optics, John Wiley & Sons, New York (1965).
33. J. A. Davis, M. A. Waring, G. W. Bach, R. A. Lilly, and D. M. Cottrell, "Compact optical correlator design," Appl. Opt. 28, 10-11 (1989).
34. J. L. Horner and C. K. Makekau, "Two-focal-length optical correlator," Appl. Opt. 28, 5199-5201 (1989).
35. B. D. Bock, T. A. Crow, and M. K. Giles, "Design considerations for miniature optical correlation systems that use pixelated input and filter transducers," in Optical Information-Processing Systems and Architectures II, Proc. SPIE 1347, 297-309 (1990).
36. C. M. Crandall, M. K. Giles, and N. Clark, "Performance limitations of miniature optical correlators," in Optical Information Processing Systems and Architectures III, Proc. SPIE 1564, 98-109 (1991).
37. U. Mahlab, M. Fleisher, and J. Shamir, "Error probability in optical pattern recognition," Opt. Commun. 77, 415-422 (1990).
38. M. Fleisher, U. Mahlab, and J. Shamir, "Target location measurement by optical correlator: a performance criterion," Appl. Opt. 31, 230-235 (1992).
39. B. V. K. Vijaya Kumar, F. M. Dickey, and J. M. DeLaurentis, "Correlation filters minimizing peak location errors," J. Opt. Soc. Am. A 9, 678-682 (1992).
40. A. Mahalanobis, B. V. K. Vijaya Kumar, and D. Casasent "Minimum average correlation energy filters," Appl. Opt. 25, 3633-3640 (1987).
41. B. V. K. Vijaya Kumar "Minimum variance SDFs," J. Opt. Soc. Am. A 3, 1579-1584 (1986).
42. Z. Bahri and B. V. K. Vijaya Kumar "Generalized synthetic discriminant functions," J. Opt. Soc. Amer. A 5, 562-571 (1988).
43. R. R. Kallman, "Construction of low noise optical correlations filters," Appl. Opt. 25, 1032-1033 (1986).
44. R. D. Juday and B. J. Daiuto, "Relaxation method of compensation in an optical correlator" Opt. Eng. 26, 1094-1101 (1987).
45. M. Fleisher, U. Mahlab, and J. Shamir "Entropy optimized filter for pattern recognition," Appl. Opt. 29, 2091-2098 (1990).
46. U. Mahlab and J. Shamir "Phase only enlropy optimized filter by simulated annealing," Opt. Lett. 14, 146-148 (1989).
47. G. Zalman and J. Shamir, "Maximum discrimination filter," J. Opt. Soc. Am. A 8, 814-821 (1991).
48. U. Mahlab and J. Shamir, "Optical pattern recognition based on convex functions," J. Opt. Soc. Am. A 8, 1233-1239 (1991).
49. G. Zalman and J. Shamir, "Reduced noise-sensitive optical pattern recognition," J. Opt. Soc. Am. A 8, 1866-1873 (1991).
50. J. P. Ding, M. Itoh, and T. Yatagai, "Iterative design of distortion-invariant phase-only filters with high Horner efficiency," Opt. Eng. 33, 4037-4044 (1994).
51. J. Rosen, U. Mahlab, and J. Shamir "Adaptive learning with joint transform correlator," Opt. Eng. 29, 1101-1106 (1990).
52. U. Mahlab, J. Rosen, and J. Shamir "Iterative generation of complex RDF in joint transform correlators," Opt. Lett. 15, 556-558 (1990).
53. U. Mahlab, J. Shamir, and J. H. Caulfield "Genetic algorithm for optical pattern recognition," Opt. Lett. 16, 648-650 (1991).
54. M. Avriel, Nonlinear Programing: Analysis and Methods, Prentice-Hall, Englewood Cliffs, NJ (1976).
55. P. J. M. van Luarhoven and E. H. L. Aarts, Simulated Annealing: Theory and Applications, D. Reidel Publishing Co., Dordrecht, The Netherlands (1987).
56. D. Lawrence, Genetic Algorithm and Simulated Annealing, Morgan Kaufmann, Los Altos, CA. (1987).
57. U. Mahlab and J. Shamir, "Comparison of iterative optimization algorithms for filter generation in optical correlators," Appl. Opt. 31, 1117-1125 (1992).
58. D. C. Youla and H. Webb, "Image restoration by the method of convex projections: part 1-theory," IEEE Trans. Med. Imaging TMI-1, 81-94 (1982).
59. T. Kotzer, J. Rosen, and J. Shamir, "Application of serial and parallel projection methods to correlation filter design," Appl. Opt. 34, 3883-3895 (1995).
60. J. Rosen and J. Shamir, "Application of the projection-onto-constraint-sets algorithm for optical pattern recognition," Opt. Lett. 16, 752-754 (1991).
61. J. Rosen, "Learning in correlators based on projections onto constraint sets," Opt. Lett. 18, 1183-1185 (1993).
62. J. Rosen and J. Shamir, "Application of the projection-onto-constraint-sets algorithm for pattern recognition," Opt. Lett. 16, 752-754 (1991).
63. D. W. Sweeney, E. Ochoa, and G. F. Schills, "Experimental use of iteratively designed rotation invariant correlation filters," Appl. Opt. 26, 3458-3465 (1987).
64. T. Kotzer, N. Cohen, and J. Shamir, "Image reconstruction by a novel parallel projection onto constraint set method," Opt. Lett. 20, 1172-1174 (1995).
65. T. Kotzer, N. Cohen, J. Shamir, and Y. Censor, "Multi-distance, multi-projection parallel projection method," in Proc. Int. Conf. on Optical Computing, OC'94, Inst. Phys. Conf. Ser. No. 139, Part III, pp. 377-380, Edinburgh (1995).
66. Y. Censor and T. Elfving, "A multiprojection algorithm using Bregman projections in a product space," Numer. Algorith. 8, 221-239 (1994).
67. T. Kotzer, N. Cohen, and J. Shamir, "A projection algorithm for consistent and inconsistent constraints," SIAM J. Optim. 7, 527-546 (1997).
68. E. Silvera, T. Kotzer, and J. Shamir, "Adaptive pattern recognition with rotation, scale and shift invariance," Appl. Opt. 34, 1891-1900 (1995).
69. L. Leclerc, Y. Sheng, and H. Arsenault, "Rotation invariant phase-only and binary phase-only correlation," Appl. Opt. 28, 1251-1256 (1989).
70. L. Leclerc, Y. Sheng, and H. H. Arsenault, "Optical binary phase-only filters for circular harmonic correlations," Appl. Opt. 30, 4643-4648 (1991).