Electrical Impedance Tomography by Elastic Deformation
Electrical Impedance Tomography by Elastic Deformation
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DOI：
10.1137/070686408
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发表时间：
2008-06
期刊：
影响因子：
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通讯作者：
H. Ammari;E. Bonnetier;Yves Capdeboscq;M. Tanter;M. Fink
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文献类型：
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作者：
H. Ammari;E. Bonnetier;Yves Capdeboscq;M. Tanter;M. Fink
本文提出了一种新的电导率成像算法。我们的想法是从通过耦合阻抗电学测量和局部弹性扰动而丰富的数据中提取更多关于电导率分布的信息。利用存在小体积夹杂时的场的渐近性，我们通过一个非线性偏微分方程组将能量密度的逐点值与测量数据联系起来。我们的算法就是基于这个偏微分方程，并且充分利用了丰富的数据。我们给出的数值例子说明了我们方法的性能和精度。
This paper presents a new algorithm for conductivity imaging. Our idea is to extract more information about the conductivity distribution from data that have been enriched by coupling impedance electrical measurements to localized elastic perturbations. Using asymptotics of the fields in the presence of small volume inclusions, we relate the pointwise values of the energy density to the measured data through a nonlinear PDE. Our algorithm is based on this PDE and takes full advantage of the enriched data. We give numerical examples that illustrate the performance and the accuracy of our approach.