On reconstruction formulas and algorithms for the thermoacoustic tomography
arXiv:0706.130344 citationsh-index: 49
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It provides a survey for researchers in mathematical imaging, but is incremental as it reviews existing work rather than presenting new results.
This paper surveys recent progress in establishing uniqueness and developing inversion formulas and algorithms for thermoacoustic tomography, focusing on the inverse problem for the wave equation and the spherical mean transform.
The paper surveys recent progress in establishing uniqueness and developing inversion formulas and algorithms for the thermoacoustic tomography. In mathematical terms, one deals with a rather special inverse problem for the wave equation. In the case of constant sound speed, it can also be interpreted as a problem concerning the spherical mean transform.