The factorization method for three dimensional electrical impedance tomography
The factorization method for three dimensional electrical impedance tomography
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DOI：
10.1088/0266-5611/30/4/045005
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发表时间：
2013-12
期刊：
影响因子：
2.1
通讯作者：
N. Chaulet;S. Arridge;Timo Betcke;David Holder
中科院分区：
文献类型：
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作者：
N. Chaulet;S. Arridge;Timo Betcke;David Holder
使用的电阻抗层析成像的因式分解方法已被证明是非常有前途的应用的情况下，人们想要找到一个已知的背景中的不均匀的夹杂物。在许多情况下，被检查的域是三维的并且由各种材料制成。在这种情况下，应用因式分解方法的主要挑战是计算背景介质的Neumann绿色函数。我们解释了我们如何解决这个困难，并展示了能力的因子分解方法来定位夹杂物在现实的不均匀的三维背景介质从模拟数据通过求解所谓的完整的电极模型。我们还进行了数值研究的稳定性的因式分解方法相对于各种建模误差。
The use of the factorization method for electrical impedance tomography has been proved to be very promising for applications in the case where one wants to find inhomogeneous inclusions in a known background. In many situations, the inspected domain is three dimensional and is made of various materials. In this case, the main challenge in applying the factorization method is in computing the Neumann Green's function of the background medium. We explain how we solve this difficulty and demonstrate the capability of the factorization method to locate inclusions in realistic inhomogeneous three dimensional background media from simulated data obtained by solving the so-called complete electrode model. We also perform a numerical study of the stability of the factorization method with respect to various modelling errors.