Noise robustness of nonlinear filters for image recognition

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 18, Issue 9, 2001, Pages 2054-2071

  Towghi, Nasser ^a   Pan, Luting ^a   Javidi, Bahram ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; COMPUTER SIMULATION; FOURIER TRANSFORMS; NONLINEAR FILTERING; SIGNAL DETECTION; SIGNAL TO NOISE RATIO;

IMAGE RECOGNITION;

IMAGE ANALYSIS;

EID: 0009702775     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.18.002054     Document Type: Article

References (21)

1. J. L. Turin, “An introduction to matched filters,” IRE Trans. Inf. Theory IT-6, 311-329 (1960).
2. A. Vanderlugt, “Signal detection by complex filters,” IEEE Trans. Inf. Theory IT-10, 139-145 (1964).
3. D. Casasent and D. Psaltis, “Position, rotation, and scaleinvariant optical correlation,” Appl. Opt. 15, 1795-1799 (1976).
4. A. Mahalanobis, B. V. K. V. Kumar, and D. Casasent, “Minimum average correlation energy filters,” Appl. Opt. 26, 3633-3640 (1987).
5. H. J. Caufield and W. T. Maloney, “Improved discrimination in optical character recognition,” Appl. Opt. 8, 2354-2356 (1969).
6. D. L. Flannery and J. L. Horner, “Fourier optical signal pro-cessor,” Proc. IEEE 77, 1511-1527 (1989).
7. B. Javidi, “Nonlinear joint power spectrum based optical correlation,” Appl. Opt. 28, 2358-2367 (1989).
8. B. Javidi, J. Wang, and A. Fazlolahi, “Performance of the nonlinear joint transform correlator for signals with low pass characteristics,” Appl. Opt. 33, 834-848 (1994).
9. K. H. Fielding and J. L. Horner, “1-f binary joint transform correlator,” Opt. Eng. 29, 1081-1087 (1990).
10. Ph. Refregier, V. Laude, and B. Javidi, “Nonlinear joint-transform correlation: An optimal solution for adaptive image discrimination and input noise robustness,” Opt. Lett. 19, 405-407 (1994).
11. J. L. Horner and P. D. Gianino, “Phase-only matched filter,” Appl. Opt. 8, 812-816 (1984).
12. D. Casasent, “Unified synthetic discrimination function computational formulation,” Appl. Opt. 23, 1620-1627 (1984).
13. Ph. Refregier and J. Figue, “Optimal trade-off filters for pattern recognition and their comparison with Wiener approach,” Opt. Comput. Process. 1, 245-265 (1991).
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. Ph. Refregier, “Filter design for optical pattern recognition: Multicriteria approach,” Opt. Lett. 15, 854-856 (1990).
16. Ph. Refregier, “Optical pattern recognition: Optimal tradeoff circular harmonic filters,” Opt. Commun. 86, 113-118 (1991).
17. B. Javidi and D. Painchaud, “Distortion invariant pattern recognition using Fourier plane nonlinear filters,” Appl. Opt. 35, 318-331 (1996).
18. W. B. Hahn and D. L. Flannery, “Design elements of binary joint transform correlation and selected optimization tech-niques,” Opt. Eng. 31, 896-905 (1992).
19. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1967).
20. K. Fukunaga, Statistical Pattern Recognition, 2nd ed. (Academic, San Diego, Calif., 1990), p. 59.
21. V. Gnedenko, The Theory of Probability (Mir, Moscow, 1976).