Application of the Multiplicative Regularization Scheme to Electrical Impedance Tomography

被引:0
|
作者
Zhang, Ke [1 ]
Li, Maokun [1 ]
Yang, Fan [1 ]
Xu, Shenheng [1 ]
Abubakar, Aria [2 ]
机构
[1] Tsinghua Univ, Dept Elect Engn, Tsinghua Natl Lab Informat Sci & Technol, State Key Lab Microwave & Digital Commun, Beijing 100084, Peoples R China
[2] Schlumberger, Sugar Land, TX 77478 USA
基金
美国国家科学基金会;
关键词
discrete exterior calculus (DEC); electrical impedance tomography (EIT); finite-element method (FEM); multiplicative regularization; spatial derivative; total variation (TV);
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
In this work, a multiplicative regularization scheme is applied to the two-dimensional EIT inversion. In the cost functional, the data misfit is multiplied by a weighted L2-norm-based regularization factor. Gauss-Newton method is used to minimize the cost functional iteratively. In the implementation of the multiplicative regularization scheme, the gradient and divergence operators need to be approximated on triangular meshes. For this purpose, discrete exterior calculus (DEC) theory is applied to rigorously formulate these operators. Numerical examples show a good reconstruction and anti-noise performance of the multiplicative regularization scheme.
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页数:3
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