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A family of inversion formulas in Thermoacoustic Tomography

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arxiv 0902.2579 v2 pith:UBBZ45KS submitted 2009-02-15 math.AP

Linh V. Nguyen (Department of Mathematics , Texas A & M University) This is my paper · ORCID
classification math.AP
keywords formulasfamilyinversionthermoacoustictomographybackprojectioncasecases
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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.

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  1. Learned backprojection for sparse and limited view photoacoustic tomography

    eess.IV 2019-08 conditional novelty 6.0 of 10

    Learned weight factors in the universal backprojection formula reduce average reconstruction error by about half for sparse and limited-view photoacoustic tomography in simulated tests.

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