A family of inversion formulas in thermoacoustic tomography

Handle URI:
http://hdl.handle.net/10754/597261
Title:
A family of inversion formulas in thermoacoustic tomography
Authors:
Nguyen, Linh
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.
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Inverse Problems and Imaging
Issue Date:
Oct-2009
DOI:
10.3934/ipi.2009.3.649
Type:
Article
ISSN:
1930-8337
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorNguyen, Linhen
dc.date.accessioned2016-02-25T12:29:16Zen
dc.date.available2016-02-25T12:29:16Zen
dc.date.issued2009-10en
dc.identifier.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.en
dc.identifier.issn1930-8337en
dc.identifier.doi10.3934/ipi.2009.3.649en
dc.identifier.urihttp://hdl.handle.net/10754/597261en
dc.description.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.en
dc.description.sponsorshipThis 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.en
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.subjectInversion formulasen
dc.subjectSpherical meansen
dc.subjectTomographyen
dc.subjectWave equationen
dc.titleA family of inversion formulas in thermoacoustic tomographyen
dc.typeArticleen
dc.identifier.journalInverse Problems and Imagingen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
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