Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed Academic Article

abstract

• The paper contains an analytic reconstruction formula in thermoacoustic and photoacoustic tomography. It works for any geometry of point detectors placement along a closed surface and for variable sound speed satisfying a non-trapping condition. It is shown how this formula leads in particular to eigenfunction expansion reconstructions, including those recently obtained for the case of a uniform background. A uniqueness of reconstruction result is also obtained. 2007 IOP Publishing Ltd.

authors

• Kuchment, Peter

published proceedings

• INVERSE PROBLEMS

author list (cited authors)

• Agranovsky, M., & Kuchment, P.

citation count

• 96

complete list of authors

• Agranovsky, Mark||Kuchment, Peter

publication date

• October 2007

publisher

• IOP Publishing  Publisher

published in

• Inverse Problems  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1088/0266-5611/23/5/016

start page

• 2089

end page

• 2102

volume

• 23

issue

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1088%2F0266-5611%2F23%2F5%2F016