Resolution and stability analysis in acousto-electric imaging

被引：25

作者：

Ammari, Habib ^{[1
]}

Garnier, Josselin ^{[2
,3
]}

Jing, Wenjia ^{[1
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

[2] Univ Paris 07, Lab Probabilites & Modeles Aleatoires, F-75251 Paris 5, France

[3] Univ Paris 07, Lab Jacques Louis Lions, F-75251 Paris 5, France

来源：

INVERSE PROBLEMS | 2012年 / 28卷 / 08期

关键词：

ELECTRICAL-IMPEDANCE TOMOGRAPHY; ELASTIC-DEFORMATION;

D O I：

10.1088/0266-5611/28/8/084005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the optimization approach to the acousto-electric imaging problem. Assuming that the electric conductivity distribution is a small perturbation of a constant, we investigate the least-squares estimate analytically using (multiple) Fourier series, and confirm the widely observed fact that acousto-electric imaging has high resolution and is statistically stable. We also analyze the case of partial data and the case of limited-view data, in which some singularities of the conductivity can still be imaged.

引用

页数：20

共 16 条

[1] Electrical impedance tomography by elastic deformation [J].

Ammari, H. ;

Bonnetier, E. ;

Capdeboscq, Y. ;

Tanter, M. ;

Fink, M. .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2008, 68 (06) :1557-1573

[2]

Ammari H, 2012, QUANTITATIVE T UNPUB

[3]

Ammari H, 2012, P AM MATH S IN PRESS

[4]

Ammari H, 2012, LIMITED VIEW R UNPUB

[5] MICROWAVE IMAGING BY ELASTIC DEFORMATION [J].

Ammari, Habib ;

Capdeboscq, Yves ;

de Gournay, Frederic ;

Rozanova-Pierrat, Anna ;

Triki, Faouzi .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2011, 71 (06) :2112-2130

[6]

Ammari H, 2008, MATH APPL-BERLIN, V62, P1

[7]

Bal G, 2011, INVERSE DIFFUS UNPUB

[8] Imaging by Modification: Numerical Reconstruction of Local Conductivities from Corresponding Power Density Measurements [J].

Capdeboscq, Y. ;

Fehrenbach, J. ;

de Gournay, F. ;

Kavian, O. .

SIAM JOURNAL ON IMAGING SCIENCES, 2009, 2 (04) :1003-1030

[9] IMPEDANCE-ACOUSTIC TOMOGRAPHY [J].

Gebauer, Bastian ;

Scherzer, Otmar .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2008, 69 (02) :565-576

[10]

Kuchment P, 2011, STABILIZING IN UNPUB

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