摘要
以胸腔模型为例,进行了三维电阻抗成像问题研究,建立了三维圆柱模型;采用有限元法进行了电阻抗正问题分析,得到的边界电位分布能够反映内部电阻抗的变化;采用基于同伦理论改进的Newton-Raphson方法进行了逆问题分析,计算得到的电阻抗分布和实际分布非常接近,说明该方法适用于电阻抗成像逆问题。
The electrical impedance tomography technique is studied with the thorax model, and the three-dimensional cylinder model is built. The forward problem is completed by finite element method. The potential on the edge reflects the change of the internal impedance. The inverse problem is analyzed by the modefied Newton-Raphson algorithm based on homotopy theory. The impedance distribution is obtained in the inverse problem which approaches the true one. It shows that this mothod is suitable for the inverse problem of the electrical impedance tomography.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2009年第5期45-48,共4页
Journal of Shandong University(Natural Science)
基金
天津市应用基础研究计划资助项目(06YFJMJC11000)
关键词
电阻抗成像
正问题
逆问题
三维圆柱模型
有限元法
同伦理论
Newton-Raphson方法
electrical impedance tomography
forward problem
inverse problem
three-dimensional cylinder model
finite element method
homotopy theory
Newton-Raphson algorithm
