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Publication Date:
28 11 2011
ISSN:
1569-3945
DOI:
10.1515/jiip.2011.050

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Editor-in-Chief: Kabanikhin, Sergey I.

Managing Editor: Shishlenin, Maxim A.

null Friedman, Avner / Gorenflo, Rudolf / Lax, P. / Nishida, T. / Pukhnachev, Vladislav V. / Sabatier, P. / Alessandrini, G. / Anikonov, Yurii E. / Banks, H.T. / Belishev, M. / Belov, Yurii Ya. / Bukhgeim, A.L. / Chavent, G. / Cheng, Jin / Denisov, A.N. / Engl, Heinz W. / Hasanoglu, Alemdar / Hofmann, Bernd / Kojima, Hisako / Kokurin, Mihail Yu. / Kress, R. / Lorenzi, Alfredo / Neubauer, Andreas / Novikov, Roman G. / Paivarinta, L. / Prilepko, A. / Romanov, Vladimir G. / Sacks, Paul / Uhlmann, G. / Vasin, Vladimir V. / Wang, Yanfei / Yagola, Anatoly G. / Yamamoto, Masahiro / Yurko, Vacheslav A. / Zou, Jun

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Reconstructions in ultrasound modulated optical tomography

1Department of Mathematics, Texas A&M University, College Station, TX 77843, USA.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 19, Issue 6, Pages 801–823, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.050, November 2011

Publication History:

Received: 13/08/2010;
Published Online: 28/02/2012

Abstract

We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coefficient from scanning measurements with narrowly focused ultrasound signals. Computational results for this model show that the reconstruction of sharp features of the absorption coefficient is possible. A formal linearization of the model leads to an equation with a Fredholm operator, which explains the stability observed in our numerical experiments.

Keywords.: Optical tomography; ultrasound; diffusion approximation; inverse problem; biomedical imaging

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