Clutter Removal Method for GPR Based on Low-Rank and Sparse Decomposition With Total Variation Regularization

被引:8
作者
Zhao, Yi [1 ,2 ]
Yang, Xiaopeng [1 ,2 ]
Qu, Xiaodong [1 ,2 ]
Lan, Tian [3 ]
Gong, Junbo [3 ]
机构
[1] Beijing Inst Technol, Sch Informat & Elect, Minist Educ, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Key Lab Elect & Informat Technol Satellite Nav, Minist Educ, Beijing 100081, Peoples R China
[3] Beijing Inst Technol, Chongqing Innovat Ctr, Chongqing 401120, Peoples R China
基金
中国国家自然科学基金;
关键词
Clutter; Sparse matrices; Soil; TV; Optimization; Numerical simulation; Matrix decomposition; Clutter removal; ground penetrating radar (GPR); low-rank and sparse decomposition (LRSD); total variation regularization (TVR); REDUCTION; RECOVERY;
D O I
10.1109/LGRS.2023.3250717
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
The performance of ground penetrating radar (GPR) target detection is seriously affected by the clutter. In this letter, an effective GPR clutter removal method is proposed based on low-rank and sparse decomposition with total variation regularization (LRSD-TVR). In the proposed method, a total variation (TV) regularization of sparse matrix is introduced to further remove the remaining clutter and to obtain a clearer target image. An iterative approach based on alternating direction method of multipliers (ADMM) is developed to solve the optimization problem of LRSD-TVR. In each iteration, the low-rank component, which corresponds to the clutter, is computed by singular value decomposition (SVD) thresholding. Besides, the sparse component corresponding to the target is obtained by solving the suboptimization problem reformulated in terms of TV component. The effectiveness of proposed method is verified by both numerical simulations and field experiments.
引用
收藏
页数:5
相关论文
共 23 条
[1]   Clutter reduction and detection of landmine objects in ground penetrating radar data using Singular Value Decomposition (SVD) [J].
Abujarad, F ;
Nadim, G ;
Omar, A .
Proceedings of the 3rd International Workshop on Advanced Ground Penetrating Radar, 2005, :37-41
[2]   Comparison of independent-component-analysis (ICA) algorithms for GPR detection of non-metallic land mines [J].
Abujarad, Fawzy ;
Omar, Abbas .
IMAGE AND SIGNAL PROCESSING FOR REMOTE SENSING XII, 2006, 6365
[3]   Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems [J].
Beck, Amir ;
Teboulle, Marc .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2009, 18 (11) :2419-2434
[4]   Distributed optimization and statistical learning via the alternating direction method of multipliers [J].
Boyd S. ;
Parikh N. ;
Chu E. ;
Peleato B. ;
Eckstein J. .
Foundations and Trends in Machine Learning, 2010, 3 (01) :1-122
[5]   Robust Principal Component Analysis? [J].
Candes, Emmanuel J. ;
Li, Xiaodong ;
Ma, Yi ;
Wright, John .
JOURNAL OF THE ACM, 2011, 58 (03)
[6]   Image recovery via total variation minimization and related problems [J].
Chambolle, A ;
Lions, PL .
NUMERISCHE MATHEMATIK, 1997, 76 (02) :167-188
[7]   Adaptive Ground Clutter Reduction in Ground-Penetrating Radar Data Based on Principal Component Analysis [J].
Chen, Gaoxiang ;
Fu, Liyun ;
Chen, Kanfu ;
Boateng, Cyril D. ;
Ge, Shuangcheng .
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2019, 57 (06) :3271-3282
[8]   A Parallel Proximal Algorithm for Anisotropic Total Variation Minimization [J].
Kamilov, Ulugbek S. .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2017, 26 (02) :539-548
[9]   Improved Clutter Removal in GPR by Robust Nonnegative Matrix Factorization [J].
Kumlu, Deniz ;
Erer, Isin .
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2020, 17 (06) :958-962
[10]   GPR Clutter Reduction by Robust Orthonormal Subspace Learning [J].
Kumlu, Deniz ;
Erer, Isin .
IEEE ACCESS, 2020, 8 :74145-74156