Stability of Current Density Impedance Imaging

Stability of Current Density Impedance Imaging
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DOI：
10.1137/19m126520x
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发表时间：
2019-05
期刊：
SIAM J. Math. Anal.
影响因子：
--
通讯作者：
Robert Lopez;Amir Moradifam
Robert Lopez;Amir Moradifam
中科院分区：
其他
文献类型：
--
作者：
Robert Lopez;Amir Moradifam

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我们研究了电流密度阻抗成像（CDII）中重建的稳定性，即从测量物体内部的电流密度矢量场的大小恢复物体电导率的逆问题。我们的研究结果表明，CDII是稳定的内部测量的电流密度矢量场的误差，并确认重建的稳定性，这是以前在数值模拟中观察到的，长期以来被认为是这种情况。
We study stability of reconstruction in current density impedance imaging (CDII), that is, the inverse problem of recovering the conductivity of a body from the measurement of the magnitude of the current density vector field in the interior of the object. Our results show that CDII is stable with respect to errors in interior measurements of the current density vector field, and confirm the stability of reconstruction which was previously observed in numerical simulations, and was long believed to be the case.