A family of inversion formulas in thermoacoustic tomography

Type
Article
Authors
Nguyen, Linh
Date
2009-11-04
Online Publication Date
2009-11-04
Print Publication Date
2009
Permanent link to this record
http://hdl.handle.net/10754/597261

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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
DOI
10.3934/ipi.2009.3.649
Collections
Publications Acknowledging KAUST Support