Improved Primal-Dual Interior-Point Method Using the Lawson-Norm for Inverse Problems

被引：5
作者：
Shang, Wenjing [1 ]
Xue, Wei [1 ]
Li, Yingsong [1 ,2 ]
Xu, Yidong [1 ]
机构：
[1] Harbin Engn Univ, Coll Informat & Commun Engn, Harbin 150001, Peoples R China
[2] Chinese Acad Sci, Natl Space Sci Ctr, Beijing 100190, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷 / 08期
基金：
中国博士后科学基金;
关键词：
TV; Inverse problems; Image reconstruction; Electrodes; Conductivity; Tomography; Electric potential; improved primal--dual interior-point method; Lawson norm; UNBIASED PREDICTIVE RISK; REGULARIZATION; ALGORITHM; EFFICIENT;
D O I：
10.1109/ACCESS.2020.2976727
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Electrical impedance tomography (EIT), geophysics and undersea target reconstruction are typical non-linear ill-posed inverse problems, and in many cases, the anomalous bodies feature with a clear boundary. Thus, it is suitable to obtain sharp boundaries and blocky features with the Total Variation (TV) functional regularization. However, the TV function regularization leads to a non-differentiable objective function at zero in the inverse formulation and reduces the algorithm robustness. In this paper, we propose an improved primal-dual interior-point method (PD-IPM) based on the Lawson norm to get sharp spatial profiles of the anomalous bodies. Furthermore, the impact of the smooth parameter is investigated to get the inverse results. Numerical experiment using simulated data is setup to support our claim.
引用
收藏
页码：41053 / 41061
页数：9
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