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    A family of inversion formulas in thermoacoustic tomography

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    Type
    Article
    Authors
    Nguyen, Linh
    Date
    2009-10
    Permanent link to this record
    http://hdl.handle.net/10754/597261
    
    Metadata
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    Abstract
    We present a family of closed form inversion formulas in thermoacoustic tomography in the case of a constant sound speed. The formulas are presented in both time-domain and frequency-domain versions. As special cases, they imply most of the previously known filtered backprojection type formulas. © 2009 AMERICAN INSTITUTE OF MATHEMATICAL SCIENCES.
    Citation
    Nguyen L (2009) A family of inversion formulas in thermoacoustic tomography. IPI 3: 649–675. Available: http://dx.doi.org/10.3934/ipi.2009.3.649.
    Sponsors
    This work was supported in part by NSF DMS grants 0604778 and 0715090, and Award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST). The author expresses his gratitude to the NSF and KAUST for the support.
    Publisher
    American Institute of Mathematical Sciences (AIMS)
    Journal
    Inverse Problems and Imaging
    ISSN
    1930-8337
    DOI
    10.3934/ipi.2009.3.649
    ae974a485f413a2113503eed53cd6c53
    10.3934/ipi.2009.3.649
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