AbstractWe 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.
CitationNguyen 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.
SponsorsThis 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.
JournalInverse Problems and Imaging