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Article: Preconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution frames

TitlePreconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution frames
Authors
KeywordsCosine transform preconditioner
High-resolution
Image reconstruction
Incomplete Cholesky factorization preconditioner
Regularization
Issue Date2004
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa
Citation
Linear Algebra And Its Applications, 2004, v. 391 n. 1-3 SPEC. ISS., p. 149-168 How to Cite?
AbstractIn this paper, we study the problem of reconstructing a high-resolution image from multiple undersampled, shifted, degraded frames with subpixel displacement errors from multisensors. Preconditioned conjugate gradient methods with cosine transform based preconditioners and incomplete factorization based preconditioners are applied to solve this image reconstruction problem. Numerical examples are given to demonstrate the efficiency of these preconditioners. We find that cosine transform based preconditioners are effective when the number of shifted low-resolution frames are large, but are less effective when the number is small. However, incomplete factorization based preconditioners work quite well independent of the number of shifted low-resolution frames. © 2004 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75488
ISSN
2015 Impact Factor: 0.965
2015 SCImago Journal Rankings: 0.837
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLin, FRen_HK
dc.contributor.authorChing, WKen_HK
dc.contributor.authorNg, MKen_HK
dc.date.accessioned2010-09-06T07:11:35Z-
dc.date.available2010-09-06T07:11:35Z-
dc.date.issued2004en_HK
dc.identifier.citationLinear Algebra And Its Applications, 2004, v. 391 n. 1-3 SPEC. ISS., p. 149-168en_HK
dc.identifier.issn0024-3795en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75488-
dc.description.abstractIn this paper, we study the problem of reconstructing a high-resolution image from multiple undersampled, shifted, degraded frames with subpixel displacement errors from multisensors. Preconditioned conjugate gradient methods with cosine transform based preconditioners and incomplete factorization based preconditioners are applied to solve this image reconstruction problem. Numerical examples are given to demonstrate the efficiency of these preconditioners. We find that cosine transform based preconditioners are effective when the number of shifted low-resolution frames are large, but are less effective when the number is small. However, incomplete factorization based preconditioners work quite well independent of the number of shifted low-resolution frames. © 2004 Elsevier Inc. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laaen_HK
dc.relation.ispartofLinear Algebra and Its Applicationsen_HK
dc.rightsLinear Algebra and Its Applications. Copyright © Elsevier Inc.en_HK
dc.subjectCosine transform preconditioneren_HK
dc.subjectHigh-resolutionen_HK
dc.subjectImage reconstructionen_HK
dc.subjectIncomplete Cholesky factorization preconditioneren_HK
dc.subjectRegularizationen_HK
dc.titlePreconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution framesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0024-3795&volume=391&spage=149&epage=168&date=2004&atitle=Preconditioning+regularized+least+squares+problems+arising+from+high-resolution+image+reconstruction+from+low-resolution+framesen_HK
dc.identifier.emailChing, WK:wching@hku.hken_HK
dc.identifier.authorityChing, WK=rp00679en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.laa.2004.01.013en_HK
dc.identifier.scopuseid_2-s2.0-4544241420en_HK
dc.identifier.hkuros97967en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4544241420&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume391en_HK
dc.identifier.issue1-3 SPEC. ISS.en_HK
dc.identifier.spage149en_HK
dc.identifier.epage168en_HK
dc.identifier.isiWOS:000224499300008-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridLin, FR=7402777425en_HK
dc.identifier.scopusauthoridChing, WK=13310265500en_HK
dc.identifier.scopusauthoridNg, MK=7202076432en_HK

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