Filter implementation technique for multicriteria characterization of coding domains in the joint transform correlator

Applied Optics

Volumn 38, Issue 20, 1999, Pages 4296-4305

  Bigué, Laurent ^a   Ambs, Pierre ^a  

^a É coleSupérieure des Sciences Appliquées pour l Ingénieur Mulhouse   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GENERATED HOLOGRAPHY; CORRELATORS; LIGHT MODULATORS; MATHEMATICAL TRANSFORMATIONS; OPTICAL CORRELATION; SET THEORY; SIGNAL ENCODING;

CODING DOMAINS; CORRELATION FILTERS; JOINT TRANSFORM CORRELATORS; SPATIAL LIGHT MODULATORS (SLM);

OPTICAL FILTERS;

EID: 0032606543     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.38.004296     Document Type: Article

References (36)

1. A. Maréchal and P. Croce, “Un filtre de fréquences spatiales pour l’amelioration du contraste des images optiques,” C. R. Acad. Sci. 237, 607-609 (1953).
2. A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory 10, 139-145 (1964).
3. C. S. Weaver and J. W. Goodman, “A technique for optically convolving two functions,” Appl. Opt. 5, 1248-1249 (1966).
4. H. J. Caulfield and W. T. Maloney, “Improved discrimination in optical character recognition,” Appl. Opt. 8, 2354-2356 (1969).
5. Y. N. Hsu and H. H. Arsenault, “Optical pattern recognition using circular harmonic expansion,” Appl. Opt. 21,4016-4019 (1982).
6. Ph. Refregier, “Filter design for optical pattern recognition: multicriteria optimization approach,” Opt. Lett. 15, 854-856 (1990).
7. B. V. K. Vijaya Kumar, “Tutorial survey of composite filter designs for optical correlators,” Appl. Opt. 31, 4773-4801 (1992).
8. B. V. K. Vijaya Kumar, R. D. Juday, and K. P. Rajan, “Saturated filters,” J. Opt. Soc. Am. A 9, 405-412 (1992).
9. R. D. Juday, “Optimal realizable filters and the minimum Euclidean distance principle,” Appl. Opt. 32, 5100-5111 (1993).
10. V. Laude and Ph. Refregier, “Multicriteria characterization of coding domains with optimal Fourier SLM filters,” Appl. Opt. 33, 4465-4471 (1994).
11. B. V. K. Vijaya Kumar, D. W. Carlson, and A. Mahalanobis, “Optimal trade-off synthetic discriminant function filters for arbitrary devices,” Opt. Lett. 19, 1556-1558 (1994).
12. J. L. Horner and P. D. Gianino, “Phase-only matched filtering,” Appl. Opt. 23, 812-816 (1984).
13. 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).
14. Ph. Refregier, “Optimal trade-off filters for noise robustness, sharpness of the correlation peak, and Horner efficiency,” Opt. Lett. 16, 829-831 (1991).
15. J. L. de Bougrenet de la Tocnaye and L. Dupont, “Complex amplitude modulation by use of liquid-crystal spatial light modulators,” Appl. Opt. 36, 1730-1741 (1997).
16. U. Mahlab and J. Shamir, “Iterative optimization algorithms for filter generation in optical correlators: a comparison,” Appl. Opt. 31, 1117-1125 (1992).
17. M. G. Roe, K. L. Schehrer, R. Dobson, and L. Schirber, “Distortion-invariant optical pattern recognition using composite binary filters,” in Optical Pattern Recognition IV, D. P. Casasent, ed., Proc. SPIE 1959, 203-213 (1993).
18. Y. Petillot, G. Keryer, and J. L. de Bougrenet de la Tocnaye, “Real-time distortion-invariant joint transform correlator using ferroelectric liquid crystal spatial light modulators,” in Euro-American Workshop on Optical Pattern Recognition, B. Javidi and Ph. Refregier, eds. (SPIE Optical Engineering Press, Bellingham, Wash., 1994), pp. 267-274.
19. B. V. K. Vijaya Kumar, D. W. Carlson, and A. Mahalanobis, “Efficient determination of the optimum gain and angle in the design of optical correlation filters,” Opt. Eng. 37, 132-137 (1998).
20. J. J. Burch, “A computer algorithm for the synthesis of spatial frequency filters,” Proc. IEEE 55, 599-601 (1967).
21. F. Wyrowski, “Iterative quantization of digital amplitude holograms,” Appl. Opt. 28, 3865-3870 (1989).
22. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237-246 (1972).
23. L. M. Bregman, “Finding the common point of convex sets by the method of successive projections,” Dokl. Akad. Nauk SSSR 162, 487-490 (1965).
24. H. Stark, W. C. Catino, and J. L. LoCicero, “Design of phase gratings by generalized projections,” J. Opt. Soc. Am. A 8, 566-571 (1991).
25. H. Stark and M. I. Sezan, “Image processing using projection methods,” in Real-Time Optical Information Processing, B. Ja-vidi and J. L. Horner, eds. (Academic, San Diego, Calif., 1994), pp. 185-232.
26. E. Zhang, S. Noehte, C. H. Dietrich, and R. Manner, “Gradual and random binarization of gray-scale holograms,” Appl. Opt. 34, 5987-5995 (1995).
27. M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, “Synthesis of digital holograms by direct binary search,” Appl. Opt. 26, 2788-2798 (1987).
28. J. P. Allebach and D. W. Sweeney, “Iterative approaches to computer generated holography,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE 884, 2-9 (1988).
29. B. K. Jennison, J. P. Allebach, and D. W. Sweeney, “Iterative approaches to computer-generated holography,” Opt. Eng. 28, 629-637 (1989).
30. L. Legeard, Ph. Refregier, and P. Ambs, “Multicriteria optimality for iterative encoding of computer generated holograms,” Appl. Opt. 36, 7444-7449 (1997).
31. I. Juvells, A. Carnicer, S. Vallmitjana, and J. Campos, “Implementation of real filters in a joint transform correlator using a positive-only display,” J. Opt. 25, 33-40 (1994).
32. M. Taniguchi, K. Matsuoka, and Y. Ichioka, “Computer generated multiple-object discriminant correlation filters: design by simulated annealing,” Appl. Opt. 34, 1379-1385 (1995).
33. W.-H. Lee, “Sampled Fourier transform hologram generated by computer,” Appl. Opt. 9, 639-643 (1970).
34. S. Maze and P. Refregier, “Optical correlation: influence of the coding of the input image,” Appl. Opt. 33, 6788-6796 (1994).
35. S.-T. Wu, “Nematic liquid crystal,” in Spatial Light Modulator Technology: Materials, Devices, and Applications, U. Efron, ed. (Marcel Dekker, New York, 1995), pp. 1-31.
36. S. E. Broomfield, M. A. A. Neil, and E. G. S. Paige, “Programmable multiple-level phase modulation using ferroelectric liquid crystal spatial light modulators,” Appl. Opt. 34,6652-6665 (1995).