Handle URI:
http://hdl.handle.net/10754/597210
Title:
2D and 3D reconstructions in acousto-electric tomography
Authors:
Kuchment, Peter; Kunyansky, Leonid
Abstract:
We propose and test stable algorithms for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is supplemented by scanning the object with acoustic waves that slightly perturb the conductivity and cause the change in the electric potential measured on the boundary of the object. These perturbations of the potential are then used as the data for the reconstruction of the conductivity. The present method does not rely on 'perfectly focused' acoustic beams. Instead, more realistic propagating spherical fronts are utilized, and then the measurements that would correspond to perfect focusing are synthesized. In other words, we use synthetic focusing. Numerical experiments with simulated data show that our techniques produce high-quality images, both in 2D and 3D, and that they remain accurate in the presence of high-level noise in the data. Local uniqueness and stability for the problem also hold. © 2011 IOP Publishing Ltd.
Citation:
Kuchment P, Kunyansky L (2011) 2D and 3D reconstructions in acousto-electric tomography. Inverse Problems 27: 055013. Available: http://dx.doi.org/10.1088/0266-5611/27/5/055013.
Publisher:
IOP Publishing
Journal:
Inverse Problems
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
18-Apr-2011
DOI:
10.1088/0266-5611/27/5/055013
Type:
Article
ISSN:
0266-5611; 1361-6420
Sponsors:
The work of both the authors was partially supported by the NSF DMS grant 0908208; the paper was written while they were visiting MSRI. The work of PK was also partially supported by the NSF DMS grant 0604778 and by the Award no KUS-C1-016-04, made to IAMCS by the King Abdullah University of Science and Technology (KAUST). The authors express their gratitude to NSF, MSRI, KAUST, and IAMCS for the support. Thanks also go to G Bal, E Bonnetier, J McLaughlin, L V Nguyen, L Wang, and Y Xu for helpful discussions and references. Finally, we are grateful to the referees for suggestions and comments that helped to significantly improve the paper.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKuchment, Peteren
dc.contributor.authorKunyansky, Leoniden
dc.date.accessioned2016-02-25T12:28:00Zen
dc.date.available2016-02-25T12:28:00Zen
dc.date.issued2011-04-18en
dc.identifier.citationKuchment P, Kunyansky L (2011) 2D and 3D reconstructions in acousto-electric tomography. Inverse Problems 27: 055013. Available: http://dx.doi.org/10.1088/0266-5611/27/5/055013.en
dc.identifier.issn0266-5611en
dc.identifier.issn1361-6420en
dc.identifier.doi10.1088/0266-5611/27/5/055013en
dc.identifier.urihttp://hdl.handle.net/10754/597210en
dc.description.abstractWe propose and test stable algorithms for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is supplemented by scanning the object with acoustic waves that slightly perturb the conductivity and cause the change in the electric potential measured on the boundary of the object. These perturbations of the potential are then used as the data for the reconstruction of the conductivity. The present method does not rely on 'perfectly focused' acoustic beams. Instead, more realistic propagating spherical fronts are utilized, and then the measurements that would correspond to perfect focusing are synthesized. In other words, we use synthetic focusing. Numerical experiments with simulated data show that our techniques produce high-quality images, both in 2D and 3D, and that they remain accurate in the presence of high-level noise in the data. Local uniqueness and stability for the problem also hold. © 2011 IOP Publishing Ltd.en
dc.description.sponsorshipThe work of both the authors was partially supported by the NSF DMS grant 0908208; the paper was written while they were visiting MSRI. The work of PK was also partially supported by the NSF DMS grant 0604778 and by the Award no KUS-C1-016-04, made to IAMCS by the King Abdullah University of Science and Technology (KAUST). The authors express their gratitude to NSF, MSRI, KAUST, and IAMCS for the support. Thanks also go to G Bal, E Bonnetier, J McLaughlin, L V Nguyen, L Wang, and Y Xu for helpful discussions and references. Finally, we are grateful to the referees for suggestions and comments that helped to significantly improve the paper.en
dc.publisherIOP Publishingen
dc.title2D and 3D reconstructions in acousto-electric tomographyen
dc.typeArticleen
dc.identifier.journalInverse Problemsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Arizona, Tucson, United Statesen
kaust.grant.numberKUS-C1-016-04en
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