Bayesian Wavelet Domain Image Modeling using Hidden Markov Trees

dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameIEEE International Conference on Image Processingen_US
dc.citation.firstpage158
dc.citation.lastpage162
dc.citation.locationKobe, Japanen_US
dc.citation.volumeNumber1en_US
dc.contributor.authorRomberg, Justinen_US
dc.contributor.authorChoi, Hyeokhoen_US
dc.contributor.authorBaraniuk, Richard G.en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:02:18Z
dc.date.available2007-10-31T01:02:18Z
dc.date.issued1999-10-01en
dc.date.modified2006-06-21en_US
dc.date.note2001-10-10en_US
dc.date.submitted1999-10-01en_US
dc.descriptionConference paperen_US
dc.description.abstractWavelet-domain hidden Markov models have proven to be useful tools for statiscal signal and image processing. The hidden Markov tree (HMT) model captures the key features o teh join statistics of the wavelet coefficients of real-world data. One potential drawback to the HMT framework is the need for computationally expensive iterative training (using the EM algorithm, for example). In this paper, we propose two reduced-parameter HMT models that capture the general structure of a broad class of grayscale images. The image HMT (iHMT) model leverages the fact that for a large class of images the structure of the HMT is self-similar across scale. This allows us to reduce the complexity of teh iHMT to just nine easily trained parameters (independent of the size of teh image and the number of wavelet scales). In the universal HMT (uHMT) we take a Bayesian approach and fix these nine parameters. The uHMT requires no training of any kind. While simple, we show using a series of image estimation/denoising experiments that these two new models retain nearly all of the key structures modeled by the full HMT. Based on these new models, we develop a shift-invariant wavelet denoising scheme that outperforms all algorithms in the current literature.en_US
dc.identifier.citationJ. Romberg, H. Choi and R. G. Baraniuk, "Bayesian Wavelet Domain Image Modeling using Hidden Markov Trees," vol. 1, 1999.
dc.identifier.doihttp://dx.doi.org/10.1109/ICIP.1999.821586en_US
dc.identifier.urihttps://hdl.handle.net/1911/20290
dc.language.isoeng
dc.subjectbayesian*
dc.subjectwavelet*
dc.subjectimage modeling*
dc.subjecthidden markov trees*
dc.subject.keywordbayesianen_US
dc.subject.keywordwaveleten_US
dc.subject.keywordimage modelingen_US
dc.subject.keywordhidden markov treesen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.titleBayesian Wavelet Domain Image Modeling using Hidden Markov Treesen_US
dc.typeConference paper
dc.type.dcmiText
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