On the problem of stable image restoration
type: Item
instance of: scholarly article
title: On the problem of stable image restoration
zbMATH Open document ID: 0814.94003
DOI: 10.1007/BF00658067
author: V. Yu. Terebizh
author: V. V. Biryukov
published in: Astrophysics and Space Science
publication date: 1995-06-20T00:00:00Z
review text: To obtain accurate information about an object that is contained in its blurred image is usually extremely difficult. For this reason only some functionals on the object can be recovered. It is natural to choose, as functionals, the principal components, that is the linear combinations of the parameter estimates which contain the main bulk of information about the object. In this paper the authors show that the principal components can be found by an orthogonal transform, based on the eigenvectors of the Fisher information matrix. As a result, the stable estimate of the object can be constructed by using only the inner resources of the theory, without referring to the Bayes way of consideration. An algorithm of image restoration is described which takes into account both the photon noise and non-negativity of the object, being valid for the space-variant point spread function.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 706743
zbMATH Keywords: image restoration algorithm
zbMATH Keywords: parameter estimates
zbMATH Keywords: orthogonal transform
zbMATH Keywords: Fisher information matrix
zbMATH Keywords: point spread function
MaRDI profile type: Publication
cites work: Q5558293
cites work: Q3690580
cites work: Q5850068
cites work: Q4082810
cites work: Q4101268
cites work: Q5815173
cites work: Information Theory and Statistical Mechanics
cites work: Q5629004
cites work: Q3846497
cites work: The Small Sample Distribution of $n\omega^2_n$
cites work: The definition of random sequences
cites work: Q3713483
cites work: Q3665103
cites work: A formal theory of inductive inference. Part I
description: scientific article; zbMATH DE number 706743