Wavelet-based approach to adaptive Wiener filtering of images in the presence of colored noise

Stephanakis, IM; Kollias, SD

dc.contributor.author	Stephanakis, IM	en
dc.contributor.author	Kollias, SD	en
dc.date.accessioned	2014-03-01T01:50:36Z
dc.date.available	2014-03-01T01:50:36Z
dc.date.issued	2000	en
dc.identifier.issn	0091-3286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26054
dc.subject	wavelet analysis	en
dc.subject	image restoration	en
dc.subject	Wiener filtering	en
dc.subject	neural networks	en
dc.subject.classification	Optics	en
dc.title	Wavelet-based approach to adaptive Wiener filtering of images in the presence of colored noise	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	An adaptive Wiener filtering approach, based on image estimation in the wavelet domain, is proposed. Gradient-based estimation of the image is employed by minimizing an error functional that depends on estimates of the image and the power of the noise in each wavelet subband. The power of the noise is estimated from the variance of wavelet coefficients. The Wiener filter used in restoring the corrupted image is updated at each iteration step. Hard wavelet thresholding allows for appropriate selection of initial estimates of the restored image and the noise. The initial estimate of the restored image is then improved by updating these estimates iteratively. Conditions for convergence of the proposed procedure are derived. Experimental results for restoring images corrupted by colored noise are presented as well. Comparisons with conventional restoration techniques strongly favor the proposed method. (C) 2000 Society of Photo-Optical Instrumentation Engineers.	en
heal.publisher	SPIE-INT SOCIETY OPTICAL ENGINEERING	en
heal.journalName	OPTICAL ENGINEERING	en
dc.identifier.isi	ISI:000086990800033	en
dc.identifier.volume	39	en
dc.identifier.issue	5	en
dc.identifier.spage	1354	en
dc.identifier.epage	1363	en