Abstract

In previous work, we introduced a dynamic range compression-based technique for image correction using nonlinear deconvolution; the impulse response of the distortion function and the distorted image are jointly transformed to pump a clean reference beam in a photorefractive two-beam coupling arrangement. The Fourier transform of the pumped reference beam contains the deconvolved image and its conjugate. Here we extend our work to spectrally variable dynamic range compression. This approach allows the retrieval of distorted signals embedded in a very high noise environment and does not require one to work with a very high beam ratio as in our previous work. Resolution recovery of blurred noisy images is demonstrated for several different types of image blur.

© 2007 Optical Society of America

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References

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2006

2004

J. Khoury, P. D. Gianino, and C. L. Woods, "Companding nonlinear correlators," Proc. SPIE 5362, 160-177 (2004).

B. Haji-Saeed, D. Pyburn, R. Leon, S. K. Sengupta, W. Goodhue, M. Testorf, J. Kierstead, J. Khoury, and C. L. Woods, "Real-time holographic deconvolution for one-way image transmission through distorting media," Opt. Eng. 43, 1862-1866 (2004).

1998

M. S. Alam, "Deblurring using fringe-adjusted joint transform correlation," Opt. Eng. 37, 556-564 (1998).

M. S. Alam, "Image enhancement using joint transform correlation," in Optical Pattern Recognition IX; D. P. Casasent, T.-H. Chao, eds., Proc. SPIE 3386, 190-201 (1998).

J. Khoury, G. Asimellis, P. D. Gianino, and C. L. Woods, "Nonlinear compansive noise reduction in joint transform correlator," Opt. Eng. 37, 66-74 (1998).

1996

1995

1994

1992

1991

1966

Appl. Opt.

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Opt. Eng.

J. Khoury, G. Asimellis, P. D. Gianino, and C. L. Woods, "Nonlinear compansive noise reduction in joint transform correlator," Opt. Eng. 37, 66-74 (1998).

M. S. Alam, "Deblurring using fringe-adjusted joint transform correlation," Opt. Eng. 37, 556-564 (1998).

B. Haji-Saeed, D. Pyburn, R. Leon, S. K. Sengupta, W. Goodhue, M. Testorf, J. Kierstead, J. Khoury, and C. L. Woods, "Real-time holographic deconvolution for one-way image transmission through distorting media," Opt. Eng. 43, 1862-1866 (2004).

Opt. Lett.

Proc. SPIE

M. S. Alam, "Image enhancement using joint transform correlation," in Optical Pattern Recognition IX; D. P. Casasent, T.-H. Chao, eds., Proc. SPIE 3386, 190-201 (1998).

J. Khoury, P. D. Gianino, and C. L. Woods, "Companding nonlinear correlators," Proc. SPIE 5362, 160-177 (2004).

Other

R. C. Gonzalez and R. E. Woods, Digital Image Processing (Prentice-Hall, 2002).

W. B. Davenport and W. L. Root, An Introduction to the Theory of Random Signal and Noise (McGraw-Hill, 1958).

M. Schwartz, W. Bennet, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966), Chap. 4, pp. 213-216; Chap. 6, p. 247.

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