北京生物医学工程

三层同心圆模型的有限元网格模型

Finite element mesh models of three-layer concentric circular model

作者：吴克坚赵清波刘烁徐清华梁锐华杨继庆董秀珍

单位：                      第四军医大学生物医学工程学院数理教研室(西安710032)        

关键词：电阻抗断层成像；有限元网格；计算精度

分类号：

出版年·卷·期（页码）：2014·33·5（441-445）

摘要：

目的改变网格数量和单元阶次，探讨二维三层同心圆模型电阻抗断层成像正问题数值解的精度。方法通过数值模拟实验，以二维同心圆模型的解析解为参考，比较不同网格数量和单元阶次的数值解，分析特定网格模型的数值精度。结果增加网格数量对于高阶单元结果精度的提高作用有限；应用更高阶单元如三阶、四阶单元提高计算精度的作用不大。结论二维场域用有限元求解EIT正问题采用中等网格数目的二阶三角形单元既可以达到满意的计算精度，又可以节省计算时耗、提高成像效率。

Objective We investigate the numerical precision of FEM solutions in three-layer concentric circular model by changing the number of meshes and element order. Methods Through numerical simulation experiments and taking analytic solutions of three-layer concentric circular model as the reference, we compare the numerical solutions in different number of meshes and element order, and analyze the numerical precision with certain mesh model. Results The increased number of meshes played a limited role in improving the calculation accuracy for a certain element of high order. Furthermore, the improvement of the higher order such as the third or fourth order elements is poor. Conclusions We choose the forward model with second order triangular element with medium number on two-dimensional field. This model can ensure calculating precision and save calculation consumption to improve the image reconstruction efficiency.

参考文献：

［1］Woo EJ, Hua P, Webster JG et al. Finite-element method in electrical impedance tomography ［J］. Med Bio Eng & Comput, 1994, 32(4):530-536.
［2］Oostendorp TF, Delbeke J, Stegeman DF. The conductivity of the human skull: Results of in vivo and in vitro measurements ［J］. IEEE Transaction on Biomedical Engineering, 2000, 42(11):1487-1491.
［3］刘君, 朱善安, Bin He. 基于分割后断层成像数据的人体头部有限元模型构建方法［J］. 航天医学与医药工程, 2007, 14(2):90-92.
Liu Jun, Zhu Shanan, Bin He. A method for automatic generation of finite element head models based on segmented computer tomography data［J］.Space Medicine & Medical Engineering, 2007,14(2):90-92.
［4］李颖. 脑电逆问题求解的数值计算方法研究［D］. 天津:河北工业大学, 2003.
Li Ying. The studies of numerical methods for the inverse problems based on electroencephalogram［D］.Tianjin: Hebei University of Technology, 2003.
［5］董国亚. 头部电阻抗成像和各层组织电导率测量方法的研究［D］. 北京:清华大学, 2003.
Dong Guoya. Studies on electrical impedance tomography and conductivity measurement for tissues in the head ［D］.Beijing: Tsinghua University, 2003.
［6］Smythe WR. Static and Dynamic Electricity ［M］.Washington DC: Hemisphere Publishing Corporation, 1989: 65-67.

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