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    Analytical reconstructions for PET and spect employing L$^{1}$-denoising

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    Type
    Conference Paper
    Authors
    Barbano, PE.
    Fokas, A.S.
    Kastis, G.A.
    Date
    2009-07
    Permanent link to this record
    http://hdl.handle.net/10754/597569
    
    Metadata
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    Abstract
    We propose an efficient, deterministic algorithm designed to reconstruct images from real Radon-Transform and Attenuated Radon-Transform data. Its input consists in a small family of recorded signals, each sampling the same composite photon or positron emission scene over a non-Gaussian, noisy channel. The reconstruction is performed by combining a novel numerical implementation of an analytical inversion formula [1] and a novel signal processing technique, inspired by the work of Tao and Candes [2] on code reconstruction. Our approach is proven to be optimal under a variety of realistic assumptions. We also indicate several medical imaging applications for which the new technology achieves high fidelity, even when dealing with real data subject to substantial non-Gaussian distortions. © 2009 IEEE.
    Citation
    Barbano P, Fokas AS, Kastis GA (2009) Analytical reconstructions for PET and spect employing L1-denoising. 2009 16th International Conference on Digital Signal Processing. Available: http://dx.doi.org/10.1109/icdsp.2009.5201187.
    Sponsors
    This work was partially funded by KAUST. We are also grateful to Captain V. Constantakopoulos for his generous support.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2009 16th International Conference on Digital Signal Processing
    DOI
    10.1109/icdsp.2009.5201187
    ae974a485f413a2113503eed53cd6c53
    10.1109/icdsp.2009.5201187
    Scopus Count
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