A Bayesian Multiscale Approach to Joint Image Restoration and Edge Detection

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dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameWavelet Applications in Signal and Image Processingen_US
dc.citation.locationDenver, COen_US
dc.contributor.authorWan, Yien_US
dc.contributor.authorNowak, Robert Daviden_US
dc.contributor.orgCenter for Multimedia Communications (http://cmc.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:09:13Z
dc.date.available2007-10-31T01:09:13Z
dc.date.issued1999-07-20en
dc.date.modified2001-09-02en_US
dc.date.note2001-09-02en_US
dc.date.submitted1999-07-20en_US
dc.descriptionConference paperen_US
dc.description.abstractThis paper presents a novel wavelet-based method for simultaneous image restoration and edge detection. The Bayesian framework developed here is general enough to treat a wide class of linear inverse problems involving (white or colored) Gaussian observation noises, but we focus on convolution operators. In our new approach, a signal prior is developed by modeling the signal/image wavelet coefficients as independent Gaussian mixture random variables. We specify a uniform (non-informative) distribution on the mixing parameters, which leads to an extremely simple iterative algorithm for joint MAP restoration and edge detection. This algorithm is similar to the popular EM algorithm in that it alternates between a state estimation step and a maximization step, yet it is much simpler in each step and has a very intuitive derivation. Moreover, we show that our algorithm converges monotonically to a local maximum of the posterior distribution. Experimental results show that this new method can perform better than wavelet-vaguelette type methods that are based on linear inverse filtering followed by wavelet coefficient denoising.en_US
dc.identifier.citationY. Wan and R. D. Nowak, "A Bayesian Multiscale Approach to Joint Image Restoration and Edge Detection," 1999.
dc.identifier.doihttp://dx.doi.org/10.1117/12.366822en_US
dc.identifier.urihttps://hdl.handle.net/1911/20436
dc.language.isoeng
dc.subjectimage restoration*
dc.subjectedge detection*
dc.subjectGaussian observation noises*
dc.subjectjoint MAP*
dc.subjectEM algorithm*
dc.subjectwavelet-vaguelette*
dc.subject.keywordimage restorationen_US
dc.subject.keywordedge detectionen_US
dc.subject.keywordGaussian observation noisesen_US
dc.subject.keywordjoint MAPen_US
dc.subject.keywordEM algorithmen_US
dc.subject.keywordwavelet-vagueletteen_US
dc.titleA Bayesian Multiscale Approach to Joint Image Restoration and Edge Detectionen_US
dc.typeConference paper
dc.type.dcmiText
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