Modified forward and inverse Born series for the Calderon and diffuse-wave problems
Modified forward and inverse Born series for the Calderon and diffuse-wave problems
复制标题
Calderon 和漫波问题的修正正向和逆 Born 级数
DOI：
10.1088/1361-6420/abae11
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发表时间：
2020
期刊：
影响因子：
2.1
通讯作者：
Moskow, Shari
中科院分区：
文献类型：
--
作者：
Abhishek, Anuj;Bonnet, Marc;Moskow, Shari
提出了一种基于串联反演的电阻抗层析成像（EIT）直接重建方法和漫射波的逆散射问题。正演问题的标准玻恩级数有一个局限性，即该级数要求对比点在一定半径内才能收敛。在这里，我们提出了一个改进的Born级数，它是无条件收敛的。然后，我们对这个改进的玻恩级数进行反演，并将重建结果与通常的玻恩级数进行比较。我们还证明了修正的逆Born级数具有更大的收敛半径。
We propose a new direct reconstruction method based on series inversion for electrical impedance tomography (EIT) and the inverse scattering problem for diffuse waves. The standard Born series for the forward problem has the limitation that the series requires that the contrast lies within a certain radius for convergence. Here, we instead propose a modified Born series which converges for the forward problem unconditionally. We then invert this modified Born series and compare reconstructions with the usual inverse Born series. We also show that the modified inverse Born series has a larger radius of convergence.
影响因子：
3.5
作者：
K. Kilgore;Shari Moskow;J. Schotland
通讯作者：
J. Schotland