A family of inversion formulas in thermoacoustic tomography

Linh Nguyen

doi:10.3934/ipi.2009.3.649

A family of inversion formulas in thermoacoustic tomography

Linh Nguyen

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

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.

Original language	English (US)
Pages (from-to)	649-675
Number of pages	27
Journal	Inverse Problems and Imaging
Volume	3
Issue number	4
DOIs	https://doi.org/10.3934/ipi.2009.3.649
State	Published - Nov 4 2009
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.3934/ipi.2009.3.649

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author = "Linh Nguyen",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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N2 - 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.

AB - 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.

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JO - Inverse Problems and Imaging

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ER -

A family of inversion formulas in thermoacoustic tomography

Abstract

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