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Article: A signomial programming approach for binary image restoration by penalized least squares

TitleA signomial programming approach for binary image restoration by penalized least squares
Authors
KeywordsBinary image restoration
Geometric programming (GP)
Optimization
Positive semidefinite (PSD) programming
Signomial programming (SP)
Issue Date2008
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2008, v. 55 n. 1, p. 41-45 How to Cite?
AbstractThe authors present a novel optimization approach, using signomial programming (SP), to restore noise-corrupted binary and grayscale images. The approach requires the minimization of a penalized least squares functional over binary variables, which has led to the design of various approximation methods in the past. In this brief, we minimize the functional as a SP problem which is then converted into a reversed geometric programming (GP) problem and solved using standard GP solvers. Numerical experiments show that the proposed approach restores both degraded binary and grayscale images with good accuracy, and is over 20 times faster than the positive semidefinite programming approach. © 2007 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/57451
ISSN
2015 Impact Factor: 1.136
2015 SCImago Journal Rankings: 0.747
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorShen, Yen_HK
dc.contributor.authorLam, EYen_HK
dc.contributor.authorWong, Nen_HK
dc.date.accessioned2010-04-12T01:37:07Z-
dc.date.available2010-04-12T01:37:07Z-
dc.date.issued2008en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Express Briefs, 2008, v. 55 n. 1, p. 41-45en_HK
dc.identifier.issn1549-7747en_HK
dc.identifier.urihttp://hdl.handle.net/10722/57451-
dc.description.abstractThe authors present a novel optimization approach, using signomial programming (SP), to restore noise-corrupted binary and grayscale images. The approach requires the minimization of a penalized least squares functional over binary variables, which has led to the design of various approximation methods in the past. In this brief, we minimize the functional as a SP problem which is then converted into a reversed geometric programming (GP) problem and solved using standard GP solvers. Numerical experiments show that the proposed approach restores both degraded binary and grayscale images with good accuracy, and is over 20 times faster than the positive semidefinite programming approach. © 2007 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Express Briefsen_HK
dc.rights©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectBinary image restorationen_HK
dc.subjectGeometric programming (GP)en_HK
dc.subjectOptimizationen_HK
dc.subjectPositive semidefinite (PSD) programmingen_HK
dc.subjectSignomial programming (SP)en_HK
dc.titleA signomial programming approach for binary image restoration by penalized least squaresen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1057-7130&volume=55&issue=1&spage=41&epage=45&date=2008&atitle=A+signomial+programming+approach+for+binary+image+restoration+by+penalized+least+squaresen_HK
dc.identifier.emailLam, EY:elam@eee.hku.hken_HK
dc.identifier.emailWong, N:nwong@eee.hku.hken_HK
dc.identifier.authorityLam, EY=rp00131en_HK
dc.identifier.authorityWong, N=rp00190en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCSII.2007.907751en_HK
dc.identifier.scopuseid_2-s2.0-64749116391en_HK
dc.identifier.hkuros143602-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-64749116391&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume55en_HK
dc.identifier.issue1en_HK
dc.identifier.spage41en_HK
dc.identifier.epage45en_HK
dc.identifier.isiWOS:000252622600009-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridShen, Y=12804295400en_HK
dc.identifier.scopusauthoridLam, EY=7102890004en_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK

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