基于圆柱模型的三维电阻抗成像问题研究

J4 ›› 2009, Vol. 44 ›› Issue (5): 45-48.

基于圆柱模型的三维电阻抗成像问题研究

吴焕丽,徐桂芝,张帅,于洪丽

河北工业大学电磁场与电器可靠性省部共建重点实验室，天津 300130

收稿日期:2008-11-25 出版日期:2009-05-16 发布日期:2009-11-18
作者简介:吴焕丽（1974-），女，讲师，博士研究生，研究方向为生物医学 Email: hlwu@hebut.edu.cn
基金资助:
天津市应用基础研究计划资助项目（06YFJMJC11000）

Research of the threedimensional electrical impedance tomography based on the cylinder model

WU Huanli, XU Guizhi, ZHANG Shuai, YU Hongli

ProvinceMinistry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei Uinversity of Technology, Tianjin 300130, China

Received:2008-11-25 Online:2009-05-16 Published:2009-11-18

摘要/Abstract

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。

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

Abstract:

The electrical impedance tomography technique is studied with the thorax model, and the threedimensional cylinder model is built. The forward pr

oblemis 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.

Key words: electrical impedance tomography; forward problem; inve rse problem; thre edimensional cylinder model; finite element method; homotopy theory; NewtonRaphson algorithm

中图分类号:

R31804

. 基于圆柱模型的三维电阻抗成像问题研究[J]. J4, 2009, 44(5): 45-48.

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