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

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    Author
    Willett, Rebecca; Nowak, Robert David
    Date
    2003
    Abstract
    This 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.
    Description
    Tech Report
    Citation
    R. Willett and R. D. Nowak, "Platelets: A Multiscale Approach for Recovering Edges and Surfaces in Photon-Limited Medical Imaging," IEEE Transactions on Medical Imaging, 2003.
    Published Version
    http://dx.doi.org/10.1109/TMI.2003.809622
    Keyword
    wavelets; multiresolution; tomography; photon-limited; denoising; More... reconstruction; Poisson; Image Processing and Pattern analysis; Wavelet based Signal/Image Processing; Multiscale Methods; Medical Imagining Applications; wavelets; multiresolution; tomography; photon-limited; denoising; reconstruction; Poisson Less...
    Type
    Report
    Citable link to this page
    https://hdl.handle.net/1911/20449
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map