Regularized image restoration in multiresolution spaces

Stephanakis, IM

dc.contributor.author	Stephanakis, IM	en
dc.date.accessioned	2014-03-01T01:13:18Z
dc.date.available	2014-03-01T01:13:18Z
dc.date.issued	1997	en
dc.identifier.issn	0091-3286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12419
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0010012249&partnerID=40&md5=558ff043c862fedf0b42511722db32d2	en
dc.subject	Image restoration	en
dc.subject	Iterative algorithms	en
dc.subject	Multiresolution analysis	en
dc.subject	Regularization	en
dc.subject.classification	Optics	en
dc.subject.other	PARAMETER	en
dc.title	Regularized image restoration in multiresolution spaces	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	A regularized image restoration model in multiresolution spaces is proposed. The image is transformed in the wavelet domain, and the restored image is found as the solution of a constrained mean-squared-error optimization. The image energies in the subbands of a wavelet decomposition of the image set the constraints of the optimization problem. A closed-form relationship of the image energy in the wavelet channels is derived. The restored image is obtained by solving iteratively the equation that sets the derivative of the error norm equal to zero. The Lagrange multiplier that corresponds to a subband is given as a function of the noise and the image energy in the subband. Results of numerical experiments on multiresolution image restoration using one and nine constraints, respectively, are presented and compared against image restoration results obtained from a conventional regularized image restoration algorithm that is based on generalized cross validation and uses the Laplacian operator as the smoothing filter. The experimental results obtained by the proposed method indicate that the restored image is closer to the original if one solves the restoration problem using more than one smoothing filter. (C) 1997 Society of Photo-Optical Instrumentation Engineers.	en
heal.publisher	SOC PHOTO-OPTICAL INSTRUMENTATION ENGINEERS	en
heal.journalName	Optical Engineering	en
dc.identifier.isi	ISI:A1997XD38800024	en
dc.identifier.volume	36	en
dc.identifier.issue	6	en
dc.identifier.spage	1738	en
dc.identifier.epage	1744	en