Fourier analysis in Magnetic Induction Tomography: Mapping of anisotropic, inhomogeneous resistivity.
Fourier analysis in Magnetic Induction Tomography: Mapping of anisotropic, inhomogeneous resistivity.
复制标题
磁感应断层扫描中的傅里叶分析：各向异性、不均匀电阻率的绘图。
DOI：
10.1088/0957-0233/22/8/085802
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发表时间：
2011
影响因子：
2.4
通讯作者：
Roth,BradleyJ
中科院分区：
文献类型：
--
作者：
Puwal,Steffan;Roth,BradleyJ
磁感应层析成像是一种用于绘制导体无源电磁特性的电磁技术，在生物医学成像中具有应用潜力。在之前的分析中，我们用基于傅里叶的分析方法解决了确定各向同性电阻率的反问题。在这里，我们将这种分析扩展到各向异性介质。本文提出的基于傅里叶的求解方法，经过适当的滤波，可以鲁棒地处理噪声，以准确地映射电阻率张量的非均匀项。我们观察到精度测量（平均偏差）的随机变化，该变化在应用领域的x和y方向上用独立的空间频率来解决。此外，我们在之前的分析中注意到的不正确图像的形成是通过使用独立的空间频率和使用额外的应用领域来解决的。最后，我们讨论了这种方法所需要的大型线性方程组的计算时间，并提出了限制内存使用的方法。
Magnetic induction tomography is an electromagnetic technique for mapping the passive electromagnetic properties of conductors and has the potential for applications in biomedical imaging. In a previous analysis, we approached the inverse problem of determining isotropic resistivity with a Fourier-based analysis. Here, we extend that analysis to anisotropic media. The proposed Fourier-based solution method, when properly filtered, robustly handles noise to accurately map the inhomogeneous terms of the resistivity tensor. We observe a random variation in the measure of accuracy (mean deviation) that is resolved with independent spatial frequencies in the x-and y-directions in the applied field. Further, the formation of improper images we noted in our previous analysis is addressed through the use of independent spatial frequencies and through the use of additional applied fields. We conclude with a discussion of computation time for the large system of linear equations that this method requires and propose methods for limiting memory usage.