Image preprocessing for rotation–invariant pattern recognition in the presence of signal–dependent noise

Applied Optics

Volumn 35, Issue 11, 1996, Pages 1879-1893

  Terrillon, Jean Christophe ^a  

^a Ministry of Posts and Telecommunications   (Japan)

Author keywords

Correlation filtering; Image preprocessing; Local suboptimal estimators; Pattern recognition; Signal dependent noise

Indexed keywords

EID: 8644260923     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.001879     Document Type: Article

References (41)

1. J. F. Walkup and R. C. Choens, Image processing in signal-dependent noise, Opt. Eng. 13, 258-266 (1974).
2. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
3. H. Siedentopf, “Concerning granularity, density fluctuations and the enlargement of photographic negatives, Phys. Z. 38, 454 (1937).
4. C. M. Lo, Estimation of image signals with Poisson noise, Rep. 890 (Image Processing Institute, University of California, Los Angeles, Calif., 1979).
5. J. Marron and G. M. Morris, Image recognition in the presence of laser speckle, J. Opt. Soc. Am. A 3, 964-971 (1986).
6. E. I. Shubnikov, Effect of additive and multiplicative noise in the correlation comparison of images, Opt. Spectrosc. (USSR) 62, 389-392 (1987).
7. G. M. Morris, Pattern recognition using photon-limited images, in Optical processing and Computing, H. H. Arse-nault, T. Szoplik, and B. Macukow, eds. (Academic, Boston, Mass., 1989).
8. T. A. Isberg and G. M. Morris, Rotation-invariant image recognition at low light levels, J. Opt. Soc. Am. A 3, 954-963 (1986).
9. G. K. Froehlich, J. F. Walkup, and R. B. Asher, Optimal estimation in signal-dependent noise, J. Opt. Soc. Am. 68, 1665-1672 (1978).
10. F. Naderi and A. A. Sawchuk, Detection of low-contrast images in film-grain noise, Appl. Opt. 17, 2883-2891 (1978).
11. D. T. Kuan, A. A. Sawchuk, T. C. Strand, and P. Chavel, Adaptive noise smoothing filter for images with signal-dependent noise, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-7, 165-177 (1985).
12. D. T. Kuan, A. A. Sawchuk, T. C. Strand, and P. Chavel, Adaptive restoration of images with speckle, IEEE Trans. Acoust. Speech Signal Process. ASSP-35, 373-382 (1987).
13. H. H. Arsenault and G. April, Properties of speckle inte-grated with a finite aperture and logarithmically trans-formed, J. Opt. Soc. Am. 66, 1160-1163 (1976).
14. H. H. Arsenault, C. Gendron, and M. Denis, Transformation of film-grain noise into signal-independent additive Gaussian noise, J. Opt. Soc. Am. 71, 91-94 (1981).
15. H. H. Arsenault and M. Denis, Integral expression for transforming signal-dependent noise into signal-independent noise, Opt. Lett. 6, 210-212 (1981).
16. P. R. Prucnal and B. E. A. Saleh, Transformation of image-sinal-dependent noise into image-signal-independent noise, Opt. Lett. 6, 316-318 (1981).
17. P. R. Prucnal and E. L. Goldstein, Exact variance stabilizing transformations for image signal-dependent Rayleigh and other Weibull noise sources, Appl. Opt. 26, 1038-1041 (1987).
18. A. K. Jain and C. R. Christensen, Digital processing of images in speckle noise, in Applications of Speckle Phenom-ena, W. H. Carter, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 243, 46-50 (1980).
19. H. H. Arsenault and M. Denis, Image processing in signal-dependent noise, Can. J. Phys. 61, 309-317 (1983).
20. R. Kasturi, J. F. Walkup, and T. F. Krile, Image restoration by transformation of signal-dependent noise to signalindependent noise, Appl. Opt. 22, 3537-3542 (1983).
21. H. H. Arsenault and M. Levesque, Combined homomorphic and local-statistics processing for restoration of images de-graded by signal-dependent noise, Appl. Opt. 23, 845-850 (1984).
22. J. S. Lee, Digital image enhancement and noise filtering by use of local statistics, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2, 165-168 (1980).
23. G. K. Froehlich, J. F. Walkup, and T. F. Krile, Estimation in signal-dependent film-grain noise, Appl. Opt. 20, 3619-3626 (1981).
24. J. D. Downie and J. F. Walkup, Optimal correlation filters for images with signal-dependent noise, J. Opt. Soc. Am. A 11, 1599-1609 (1994).
25. M. Tur, C. Chin, and J. W. Goodman, When is speckle noise multiplicative?, Appl. Opt. 21, 1157-1159 (1982).
26. Research and Education Association, Handbook ofMathemati-cal, Scientific, and Engineering Formulas, Tables, Functions, Graphs, Transforms, (Research and Education Association, N. J., 1994), Chap. 16, p. 595.
27. M. Denis and H. H. Arsenault, On the accuracy of a method to make film-grain noise independent of the signal, Opt. Commun. 38, 166-169 (1981).
28. R. Wallis, An approach to the space variant restoration and enhancement of images, in Proceedings ofthe Symposium on Current Mathematical Problems in Image Science (Naval Postgraduate School, Monterey, Calif., 1976).
29. Y N. Hsu, H. H. Arsenault, and G. April, Rotation-invariant digital pattern recognition using circular harmonic expan-sion, Appl. Opt. 21, 4012-4015 (1982).
30. Y. N. Hsu and H. H. Arsenault, Optical pattern recognition using circular harmonic expansion, Appl. Opt. 21, 4016-4019 (1982).
31. L. Leclerc, Y. Sheng, and H. H. Arsenault, Rotation-invariant phase-only and binary phase-only correlation, Appl. Opt. 28, 1251-1256 (1989).
32. Y. Sheng and H. H. Arsenault, Method for determining expansion centers and predicting sidelobe levels for circular harmonic filters, J. Opt. Soc. Am. A1, 1793-1797 (1987).
33. G. Premont and Y. Sheng, Fast design of circular-harmonic filters using simulated annealing, Appl. Opt. 32, 3116-3121 (1993).
34. Y. N. Hsu and H. H. Arsenault, Pattern discrimination by multiple circular harmonic components, Appl. Opt. 23, 841-844 (1984).
35. L. Leclerc, Y. Sheng, and H. H. Arsenault, Optical binary phase-only filters for circular harmonic correlations, Appl. Opt. 30, 4643-4649 (1991).
36. B. V. K. Vijaya Kumar and L. Hassebrook, Performance measures for correlation filters, Appl. Opt. 29, 2997-3006 (1990).
37. J. L. Horner and J. R. Leger, Pattern recognition with binary phase-only filters, Appl. Opt. 24, 609-611 (1985).
38. J. L. Horner and H. O. Bartelt, Two-bit correlation, Appl. Opt. 24, 2889-2893 (1985).
39. M. A. Flavin and J. L. Horner, Amplitude encoded phase-only filters, Appl. Opt. 28, 1692-1696 (1989).
40. B. Javidi, J. Wang, and Q. Tang, Multiple-object binary joint transform correlation using multiple-level threshold cross-ing, Appl. Opt. 30, 4234-4244 (1991).
41. J. L. Horner, Metrics for assessingpattern-recognitionperfor-mance, Appl. Opt. 31, 165-166 (1992).