A Shrinkage-Thresholding Method for the Inverse Problem of Electrical Resistance Tomography

被引:0
|
作者
Zhang, Lingling [1 ,2 ]
Wang, Huaxiang [2 ]
Xu, Yanbin [2 ]
机构
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
[2] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China
来源
2012 IEEE INTERNATIONAL INSTRUMENTATION AND MEASUREMENT TECHNOLOGY CONFERENCE (I2MTC) | 2012年
基金
中国国家自然科学基金;
关键词
electrical resistance tomography; l1 regularization method; interior-point method; shrinkage-thresholding algorithm; linear inverse problem; MONOTONE-OPERATORS; CONVERGENCE;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Image reconstruction for Electrical Resistance Tomography (ERT) is an ill-posed nonlinear inverse problem. Considering the influence of the sparse measurement data on the quality of the reconstructed image, the l1-regularized least-squares program (l1 regularized LSP) is introduced to solve the inverse problem in this paper. To meet the need of high speed in ERT, the fast iterative shrinkage-thresholding algorithm (FISTA) is employed for image reconstruction in our work. Simulation results of the FISTA and l1_ls algorithm show that the l1 regularized LSP is superior to the l2 regularization method, especially in avoiding the over-smoothing of the reconstructed image. In addition, to improve the convergence speed and imaging quality in FISTA algorithm, the initial guess is calculated with the conjugate gradient method. Comparative simulation results demonstrate the feasibility of FISTA in ERT system and its advantage over the l1_ls regularization method.
引用
收藏
页码:2425 / 2429
页数:5
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