径向对称电导率重构的Layer-Stripping方法

J4 ›› 2012, Vol. 50 ›› Issue (01): 21-26.

径向对称电导率重构的Layer-Stripping方法

凤天宏, 马富明

吉林大学数学研究所, 长春 130012

收稿日期:2011-05-25 出版日期:2012-01-26 发布日期:2012-03-06
通讯作者: 马富明 E-mail:mfm@jlu.edu.cn

LayerStripping Reconstruction Algorithm forRadially Symmetric Conductivity

FENG Tianhong, MA Fuming

Institute of Mathematics, Jilin |University, Changchun 130012, China

Received:2011-05-25 Online:2012-01-26 Published:2012-03-06
Contact: MA Fuming E-mail:mfm@jlu.edu.cn

摘要/Abstract

摘要：

利用Layer-Stripping方法, 针对电导率为径向对称分布的情形给出一种重构电导率的数值算法. 特别地, 针对分层半径的选取提出了3种方法以
增强算法的稳定性, 并通过数值实验证明了算法的可行性.

关键词: 电阻抗成像, NtD映射, Layer-Stripping方法, Riccati方程

Abstract:

The authors gave a numerical algorithm of reconstructing radially symmetric conductivity by means of the LayerStripping method, in pa
rticular, the three choices to determine the reconstruction layers to enhance the stability of the algorithm. A number of numerical tests show the feasibility of the method.

Key words: electrical impedance tomography (EIT), NtD map, LayerStripping algorithm, Riccati equation

中图分类号:

O241.82

凤天宏, 马富明. 径向对称电导率重构的Layer-Stripping方法[J]. J4, 2012, 50(01): 21-26.

FENG Tianhong, MA Fuming. LayerStripping Reconstruction Algorithm forRadially Symmetric Conductivity[J]. J4, 2012, 50(01): 21-26.

[1]	许洁, 吕显瑞. 一类随机Riccati方程解的存在性[J]. 吉林大学学报(理学版), 2017, 55(03): 613-616.
[2]	凤天宏. 正交各向异性磁共振电阻抗成像问题的唯一性[J]. J4, 2012, 50(05): 945-948.