Blind Recover Conditions for Images with Side Information

Yoshinobu TAKEUCHI  Akira OOYAGI  

IEICE TRANSACTIONS on Information and Systems   Vol.E90-D   No.9   pp.1469-1473
Publication Date: 2007/09/01
Online ISSN: 1745-1361
DOI: 10.1093/ietisy/e90-d.9.1469
Print ISSN: 0916-8532
Type of Manuscript: LETTER
Category: Image Processing and Video Processing
image restoration,  blind recovery,  side information,  optimization function,  finite alphabet,  

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We consider the blind recovery problem such that images embedded with side information are given, and we want to obtain the side information under some prescribed constraints. In this case, the system equation becomes y=Ax+b where in addition to the unknown A and x, b also is an unknown quantity and but clearly not a noise component. We assume that several images with the same embedding side information are given, and the image processing to b is described as the perturbation of A. We formulate the optimization function to obtain A, b and x, under the constraint of some finite brightness levels i.e. finite alphabets.