Kronecker product and SVD approximations in image restoration
type: Item
instance of: scholarly article
title: Kronecker product and SVD approximations in image restoration
zbMATH Open document ID: 0936.65052
DOI: 10.1016/S0024-3795(98)10024-1
author: Julie Kamm
author: James G. Nagy
published in: Linear Algebra and its Applications
publication date: 1999-11-28T00:00:00Z
review text: A linear discrete model of image restoration is defined by the matrix-vector equation \(g= Kf+ n\), where \(g\) is the known observed image, \(f\) is the actual unknown image, \(n\) is an additive noise and \(K\) is a banded block Toeplitz matrix with banded Toeplitz blocks. In order to obtain an estimate of \(f\), the authors replace \(K\) by its singular value decomposition. Comparison with Tikhonov approximation and illustrative examples are provided.
Mathematics Subject Classification ID: 65F22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 1371021
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: numerical examples
zbMATH Keywords: image restoration
zbMATH Keywords: block Toeplitz matrix
zbMATH Keywords: singular value decomposition
Wikidata QID: Q113099469
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1371021