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首页> 外文期刊>IEEE Transactions on Magnetics >3-D Electrical Impedance Tomography Forward Problem With Finite Element Method
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3-D Electrical Impedance Tomography Forward Problem With Finite Element Method

机译：有限元方法的3D电阻抗层析成像正演问题

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摘要

Electrical impedance tomography (EIT) is a newly developed technique by which impedance measurements from the surface of an object are reconstructed into impedance image. The two-dimensional (2-D) EIT problem is regarded as a simplified model. As 2-D model cannot physically represent the three-dimensional (3-D) structure, the spatial information of the place where the impedance is changed by some diseases cannot be detected accurately. Therefore, 3-D EIT is necessary. In this paper, the finite element method (FEM) of 3-D EIT forward problem is presented. A sphere model is studied. The tetrahedron element is used in the meshing. Two types of sphere model, uniform model and multiplayer model are analyzed. The uniform sphere model, to which the analytical solution is applicable, is used to verify the developed FEM as well as examine the accuracy. The comparison between the numerical solution and the analytical solution shows the correctness of the developed FEM for EIT forward problem. The multiplayer model, four-layer model and three-layer model, is used to investigate the physical potential distribution inside the inhomogeneous sphere model. Reasonable potential distributions are obtained.
机译：电阻抗断层扫描（EIT）是一项新开发的技术，通过该技术，可以将来自对象表面的阻抗测量结果重建为阻抗图像。二维（2-D）EIT问题被视为简化模型。由于2-D模型不能物理表示三维（3-D）结构，因此无法准确检测出阻抗被某些疾病改变的地方的空间信息。因此，3-D EIT是必要的。本文提出了3-D EIT正向问题的有限元方法。研究了球体模型。四面体元素用于啮合。分析了两种球体模型：统一模型和多人模型。应用解析解决方案的均匀球模型用于验证已开发的有限元方法并检查其准确性。数值解与解析解之间的比较表明，所开发的有限元方法对EIT正向问题的正确性。多人模型，四层模型和三层模型用于研究非均匀球体模型内部的物理势分布。获得了合理的电位分布。

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