Platelets: A Multiscale Approach for Recovering Edges and Surfaces in Photon-Limited Medical Imaging

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dc.citation.bibtexNametechreporten_US
dc.citation.journalTitleIEEE Transactions on Medical Imagingen_US
dc.contributor.authorWillett, Rebeccaen_US
dc.contributor.authorNowak, Robert Daviden_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:09:51Z
dc.date.available2007-10-31T01:09:51Z
dc.date.issued2003en
dc.date.modified2003-07-12en_US
dc.date.submitted2001-10-22en_US
dc.descriptionTech Reporten_US
dc.description.abstractThis paper proposes a new multiscale image decomposition based on platelets. Platelets are localized functions at various scales, locations, and orientations that produce piecewise linear image approximations. Platelets are well suited for approximating images consisting of smooth regions separated by smooth boundaries. For smoothness measured in certain Holder classes, it is shown that the error of m-term platelet approximations can decay significantly faster than that of m-term approximations in terms of sinusoids, wavelets, or wedgelets. This suggests that platelets may outperform existing techniques for image denoising and reconstruction. Moreover, the platelet decomposition is based on a recursive image partitioning scheme which, unlike conventional wavelet decompositions, is very well suited to photon-limited medical imaging applications involving Poisson distributed data. Fast, platelet-based, maximum penalized likelihood methods for photon-limited image denoising, deblurring and tomographic reconstruction problems are developed. Because platelet decompositions of Poisson distributed images are tractable and computationally efficient, existing image reconstruction methods based on expectation-maximization type algorithms can be easily enhanced with platelet techniques. Experimental results demonstrate that platelet-based methods can outperform standard reconstruction methods currently in use in confocal microscopy, image restoration and emission tomography.en_US
dc.description.sponsorshipOffice of Naval Researchen_US
dc.description.sponsorshipArmy Research Officeen_US
dc.description.sponsorshipNational Science Foundationen_US
dc.identifier.citationR. Willett and R. D. Nowak, "Platelets: A Multiscale Approach for Recovering Edges and Surfaces in Photon-Limited Medical Imaging," <i>IEEE Transactions on Medical Imaging,</i> 2003.
dc.identifier.doihttp://dx.doi.org/10.1109/TMI.2003.809622en_US
dc.identifier.urihttps://hdl.handle.net/1911/20449
dc.language.isoeng
dc.subjectwavelets*
dc.subjectmultiresolution*
dc.subjecttomography*
dc.subjectphoton-limited*
dc.subjectdenoising*
dc.subjectreconstruction*
dc.subjectPoisson*
dc.subject.keywordwaveletsen_US
dc.subject.keywordmultiresolutionen_US
dc.subject.keywordtomographyen_US
dc.subject.keywordphoton-limiteden_US
dc.subject.keyworddenoisingen_US
dc.subject.keywordreconstructionen_US
dc.subject.keywordPoissonen_US
dc.subject.otherImage Processing and Pattern analysisen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.subject.otherMultiscale Methodsen_US
dc.subject.otherMedical Imagining Applicationsen_US
dc.titlePlatelets: A Multiscale Approach for Recovering Edges and Surfaces in Photon-Limited Medical Imagingen_US
dc.typeReport
dc.type.dcmiText
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