Handle URI:
http://hdl.handle.net/10754/599469
Title:
Reconstructions in ultrasound modulated optical tomography
Authors:
Allmaras, Moritz; Bangerth, Wolfgang
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. © de Gruyter 2011.
Citation:
Allmaras M, Bangerth W (2011) Reconstructions in ultrasound modulated optical tomography. Journal of Inverse and Ill-posed Problems 19. Available: http://dx.doi.org/10.1515/JIIP.2011.050.
Publisher:
Walter de Gruyter GmbH
Journal:
Journal of Inverse and Ill-posed Problems
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Jan-2011
DOI:
10.1515/JIIP.2011.050
Type:
Article
ISSN:
0928-0219; 1569-3945
Sponsors:
The work of both authors was partially supported by NSF grant DMS-0604778 and Award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST). The work of the second author was also partially supported by U.S. Department of Energy grant DE-FG07-07ID14767 and by an Alfred P. Sloan Research Fellowship. We wish to express our gratitude to these sources of support. We would also like to thank Prof. P. Kuchment, who suggested the approach for proving linear stability in Section 5.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorAllmaras, Moritzen
dc.contributor.authorBangerth, Wolfgangen
dc.date.accessioned2016-02-28T05:51:43Zen
dc.date.available2016-02-28T05:51:43Zen
dc.date.issued2011-01en
dc.identifier.citationAllmaras M, Bangerth W (2011) Reconstructions in ultrasound modulated optical tomography. Journal of Inverse and Ill-posed Problems 19. Available: http://dx.doi.org/10.1515/JIIP.2011.050.en
dc.identifier.issn0928-0219en
dc.identifier.issn1569-3945en
dc.identifier.doi10.1515/JIIP.2011.050en
dc.identifier.urihttp://hdl.handle.net/10754/599469en
dc.description.abstractWe 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. © de Gruyter 2011.en
dc.description.sponsorshipThe work of both authors was partially supported by NSF grant DMS-0604778 and Award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST). The work of the second author was also partially supported by U.S. Department of Energy grant DE-FG07-07ID14767 and by an Alfred P. Sloan Research Fellowship. We wish to express our gratitude to these sources of support. We would also like to thank Prof. P. Kuchment, who suggested the approach for proving linear stability in Section 5.en
dc.publisherWalter de Gruyter GmbHen
dc.subjectbiomedical imagingen
dc.subjectdiffusion approximationen
dc.subjectinverse problemen
dc.subjectOptical tomographyen
dc.subjectultrasounden
dc.titleReconstructions in ultrasound modulated optical tomographyen
dc.typeArticleen
dc.identifier.journalJournal of Inverse and Ill-posed Problemsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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