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Article: Kronecker product approximations for image restoration with reflexive boundary conditions

TitleKronecker product approximations for image restoration with reflexive boundary conditions
Authors
Keywordsimage restoration
Kronecker product
singular value decomposition
Issue Date2003
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX
Citation
SIAM Journal on Matrix Analysis and Applications, 2003, v. 25 n. 3, p. 829-841 How to Cite?
AbstractMany image processing applications require computing approximate solutions of very large, ill-conditioned linear systems. Physical assumptions of the imaging system usually dictate that the matrices in these linear systems have exploitable structure. The specific structure depends on (usually simplifying) assumptions of the physical model and other considerations such as boundary conditions. When reflexive (Neumann) boundary conditions are used, the coefficient matrix is a combination of Toeplitz and Hankel matrices. Kronecker products also occur, but this structure is not obvious from measured data. In this paper we discuss a scheme for computing a (possibly approximate) Kronecker product decomposition of structured matrices in image processing, which extends previous work by Kamm and Nagy [SIAM J. Matrix Anal. Appl., 22 (2000), pp. 155-172] to a wider class of image restoration problems.
Persistent Identifierhttp://hdl.handle.net/10722/44907
ISSN
2015 Impact Factor: 1.883
2015 SCImago Journal Rankings: 2.052
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorNagy, JGen_HK
dc.contributor.authorNg, MKen_HK
dc.contributor.authorPerrone, Len_HK
dc.date.accessioned2007-10-30T06:13:09Z-
dc.date.available2007-10-30T06:13:09Z-
dc.date.issued2003en_HK
dc.identifier.citationSIAM Journal on Matrix Analysis and Applications, 2003, v. 25 n. 3, p. 829-841en_HK
dc.identifier.issn0895-4798en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44907-
dc.description.abstractMany image processing applications require computing approximate solutions of very large, ill-conditioned linear systems. Physical assumptions of the imaging system usually dictate that the matrices in these linear systems have exploitable structure. The specific structure depends on (usually simplifying) assumptions of the physical model and other considerations such as boundary conditions. When reflexive (Neumann) boundary conditions are used, the coefficient matrix is a combination of Toeplitz and Hankel matrices. Kronecker products also occur, but this structure is not obvious from measured data. In this paper we discuss a scheme for computing a (possibly approximate) Kronecker product decomposition of structured matrices in image processing, which extends previous work by Kamm and Nagy [SIAM J. Matrix Anal. Appl., 22 (2000), pp. 155-172] to a wider class of image restoration problems.en_HK
dc.format.extent226641 bytes-
dc.format.extent1837 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SIMAXen_HK
dc.relation.ispartofSIAM Journal on Matrix Analysis and Applications-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectimage restorationen_HK
dc.subjectKronecker producten_HK
dc.subjectsingular value decompositionen_HK
dc.titleKronecker product approximations for image restoration with reflexive boundary conditionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0895-4798&volume=25&issue=3&spage=829&epage=841&date=2003&atitle=Kronecker+product+approximations+for+image+restoration+with+reflexive+boundary+conditionsen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1137/S0895479802419580en_HK
dc.identifier.scopuseid_2-s2.0-3142661848-
dc.identifier.isiWOS:000221026800015-

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