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The problem of image restoration refers to finding an estimate of the ideal image from its blurred and noisy rendition. On the other hand, image reconstruction refers to the problem of finding an estimate of the ideal image from possibly incomplete and noisy data, which is not necessarily in the form of an image. although the applications of image restoration and reconstruction differ in nature, these two problems share a common mathematical ground in that they are both ill-posed inverse problems. Since solution strategies for both problems are heavily based on this common property, we discuss both problems in this special issue.
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Ibrahim M. Sezan, Ahmet Murat Tekalp, "Special Issue Guest Editorial: Image Restoration and Reconstruction," Opt. Eng. 29(5) (1 May 1990) https://doi.org/10.1117/1.OE.29.5.guestedit2