论文标题
在EIT中重建小小的和扩展区域，具有知更鸟传输条件
Reconstruction of small and extended regions in EIT with a Robin transmission condition
论文作者
论文摘要
我们认为来自具有罗宾传输条件的电阻抗层析成像的逆形问题。通常，罗宾类型模型腐蚀的边界条件。在本文中，我们研究了从静电数据中恢复内部腐蚀区域的两种方法。我们考虑了我们的体积较小和扩展区域的情况。对于该区域的体积较小的情况，我们将得出当前间隙操作员的渐近扩展，并证明可以使用音乐型算法来恢复该区域。如果一个人具有扩展区域，我们将证明可用于恢复该区域的正则化分解方法。在单位圆的两个维度上，将在两种情况下介绍数值示例。
We consider an inverse shape problem coming from electrical impedance tomography with a Robin transmission condition. In general, a boundary condition of Robin type models corrosion. In this paper, we study two methods for recovering an interior corroded region from electrostatic data. We consider the case where we have small volume and extended regions. For the case where the region has small volume, we will derive an asymptotic expansion of the current gap operator and prove that a MUSIC-type algorithm can be used to recover the region. In the case where one has an extended region, we will show that the regularized factorization method can be used to recover said region. Numerical examples will be presented for both cases in two dimensions in the unit circle.
