An Iterative Method for Restoring Noisy Blurred Images

TitleAn Iterative Method for Restoring Noisy Blurred Images
Publication TypeJournal Article
Year of Publication1984
AuthorsKatsaggelos, A. K., J. Biemond, R. M. Mersereau, and R. W. Schafer
JournalCircuits Systems and Signal Processing
Volume3
Pagination139-160
Date Published06/1984
Abstract

This paper introduces a new iterative image restoration method which is capable of restoring noisy blurred images by incorporatinga priori knowledge about the image and noise statistics into the iterative procedure. The iteration equation consists of a prediction part which is based on a
noncausal image model description and an innovation part which is weighted by a gain factor. The gain is computed using a linear MSE optimization procedure and is updated at each step of the iteration. The convergence of the algorithm, the resolution of some convergence difficulties by using ldquoreblurring,rdquo and methods for the introduction of physical constraints will be discussed. This image restoration scheme can be interpreted as an iterative procedure with a statistical constraint on the image data. Results of several experiments with noisy blurred data are presented to demonstrate the feasibility of this approach.

This work was supported in part by the Joint Services Electronics Program under contract DAAG29-81-K-0024 and in part by the Netherlands Organization for the Advancement of Pure Research (ZWO).

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