Abstract

An optimum filter to restore the degraded image due to blurring and the signal-dependent noise is obtained on the basis of the theory of Wiener filtering. Computer simulations of image restoration using signal-dependent noise models are carried out. It becomes clear that the optimum filter, which makes use of a priori information on the signal-dependent nature of the noise and the spectral density of the signal and the noise showing significant spatial correlation, is potentially advantageous.

© 1977 Optical Society of America

Restoration of noisy blurred images by a smoothing spline filter

M. J. Peyrovian and A. A. Sawchuk
Appl. Opt. 16(12) 3147-3153 (1977)

Image restoration by transformation of signal-dependent noise to signal-independent noise

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Appl. Opt. 22(22) 3537-3542 (1983)

Wiener restoration of sampled image data: end-to-end analysis

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J. Opt. Soc. Am. A 5(3) 300-314 (1988)

On-line digital image restoration and manipulation using a minicomputer

Y. Ichioka, K. Itoh, and T. Suzuki
Appl. Opt. 16(2) 462-469 (1977)

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Michael Rucci, Russell C. Hardie, and Kenneth J. Barnard
Appl. Opt. 53(13) C1-C13 (2014)