Remote sensing images destriping using unidirectional hybrid total variation and nonconvex low-rank regularization

Abstract In this paper, we propose a novel model for remote sensing images destriping, which includes the Schatten 1 ∕ 2 -norm and the unidirectional first-order and high-order total variation regularization. The main idea is that the stripe layer is low-rank, and the desired image possesses smoothness across stripes. Therefore, we use the Schatten 1 ∕ 2 -norm regularization to depict the low-rankness of stripes, and use the unidirectional total variation and the unidirectional high-order total variation to guarantee the smoothness of the underlying image. We develop the alternating direction method of multipliers algorithm to solve the proposed model. Extensive experiments on synthetic and real data are reported to show the superiority of the proposed method over state-of-the-art methods in terms of both quantitative and qualitative assessments.

[1]  Ting-Zhu Huang,et al.  A directional global sparse model for single image rain removal , 2018, Applied Mathematical Modelling.

[2]  Jian Guo Liu,et al.  FFT Selective and Adaptive Filtering for Removal of Systematic Noise in ETM+ Imageodesy Images , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Ting-Zhu Huang,et al.  Low-rank tensor completion via smooth matrix factorization , 2019, Applied Mathematical Modelling.

[4]  Tony F. Chan,et al.  High-Order Total Variation-Based Image Restoration , 2000, SIAM J. Sci. Comput..

[5]  Wangmeng Zuo,et al.  A Generalized Accelerated Proximal Gradient Approach for Total-Variation-Based Image Restoration , 2011, IEEE Transactions on Image Processing.

[6]  Tianxu Zhang,et al.  A destriping algorithm based on TV-Stokes and unidirectional total variation model , 2016 .

[7]  Liangpei Zhang,et al.  A MAP-Based Algorithm for Destriping and Inpainting of Remotely Sensed Images , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[8]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[9]  Jon Atli Benediktsson,et al.  Segmentation and classification of hyperspectral images using watershed transformation , 2010, Pattern Recognit..

[10]  Xu Zhou,et al.  A boundary condition based deconvolution framework for image deblurring , 2014, J. Comput. Appl. Math..

[11]  R. W. Liu,et al.  Generalized total variation-based MRI Rician denoising model with spatially adaptive regularization parameters. , 2014, Magnetic resonance imaging.

[12]  Wang Yao,et al.  L 1/2 regularization , 2010 .

[13]  Hui Chen,et al.  An effective graph and depth layer based RGB-D image foreground object extraction method , 2017, Computational Visual Media.

[14]  Ting-Zhu Huang,et al.  Destriping of Multispectral Remote Sensing Image Using Low-Rank Tensor Decomposition , 2018, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[15]  Richard G. Baraniuk,et al.  Fast Alternating Direction Optimization Methods , 2014, SIAM J. Imaging Sci..

[16]  Xi-Le Zhao,et al.  Total Variation Structured Total Least Squares Method for Image Restoration , 2013, SIAM J. Sci. Comput..

[17]  Michael K. Ng,et al.  A New Convex Optimization Model for Multiplicative Noise and Blur Removal , 2014, SIAM J. Imaging Sci..

[18]  Liangpei Zhang,et al.  Stripe Noise Separation and Removal in Remote Sensing Images by Consideration of the Global Sparsity and Local Variational Properties , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[19]  Ting-Zhu Huang,et al.  A total variation and group sparsity based tensor optimization model for video rain streak removal , 2019, Signal Process. Image Commun..

[20]  Amr Abd-Elrahman,et al.  De-striping hyperspectral imagery using wavelet transform and adaptive frequency domain filtering , 2011 .

[21]  Alfredo Cuzzocrea,et al.  Advanced pattern recognition from complex environments: a classification-based approach , 2017, Soft Computing.

[22]  HuangJie,et al.  Speckle noise removal in ultrasound images by first- and second-order total variation , 2018 .

[23]  Ting-Zhu Huang,et al.  Truncated l1-2 Models for Sparse Recovery and Rank Minimization , 2017, SIAM J. Imaging Sci..

[24]  M. Wegener Destriping multiple sensor imagery by improved histogram matching , 1990 .

[25]  Stephen P. Boyd,et al.  Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers , 2011, Found. Trends Mach. Learn..

[26]  Yi Chang,et al.  Robust destriping method with unidirectional total variation and framelet regularization. , 2013, Optics express.

[27]  Raf Vandebril,et al.  Adaptive cross approximation for ill-posed problems , 2016, J. Comput. Appl. Math..

[28]  Gang Zhou,et al.  Image denoising based on spatially adaptive high order total variation model , 2016, 2016 9th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI).

[29]  Gang Zhou,et al.  Robust destriping of MODIS and hyperspectral data using a hybrid unidirectional total variation model , 2015 .

[30]  E. M. Winter,et al.  Anomaly detection from hyperspectral imagery , 2002, IEEE Signal Process. Mag..

[31]  Ting-Zhu Huang,et al.  FastDeRain: A Novel Video Rain Streak Removal Method Using Directional Gradient Priors , 2018, IEEE Transactions on Image Processing.

[32]  Zongben Xu,et al.  Regularization: Convergence of Iterative Half Thresholding Algorithm , 2014 .

[33]  Zongben Xu,et al.  L1/2 regularization , 2010, Science China Information Sciences.

[34]  Michael P. Weinreb,et al.  Destriping GOES images by matching empirical distribution functions , 1989 .

[35]  Ting-Zhu Huang,et al.  Hyperspectral image restoration using framelet-regularized low-rank nonnegative matrix factorization , 2018, Applied Mathematical Modelling.

[36]  Damiana Lazzaro,et al.  Edge-preserving wavelet thresholding for image denoising , 2007 .

[37]  Saïd Ladjal,et al.  Toward Optimal Destriping of MODIS Data Using a Unidirectional Variational Model , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[38]  Jie Huang,et al.  Two soft-thresholding based iterative algorithms for image deblurring , 2014, Inf. Sci..

[39]  Yulong Wang,et al.  Graph-Regularized Low-Rank Representation for Destriping of Hyperspectral Images , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[41]  Sheng Zhong,et al.  Remote Sensing Image Stripe Noise Removal: From Image Decomposition Perspective , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[42]  Zongben Xu,et al.  $L_{1/2}$ Regularization: A Thresholding Representation Theory and a Fast Solver , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[43]  Ting-Zhu Huang,et al.  Total variation with overlapping group sparsity for deblurring images under Cauchy noise , 2019, Appl. Math. Comput..

[44]  F. L. Gadallah,et al.  Destriping multisensor imagery with moment matching , 2000 .

[45]  Robert J. Woodham,et al.  Destriping LANDSAT MSS images by histogram modification , 1979 .

[46]  Liangpei Zhang,et al.  A Nonlocal Weighted Joint Sparse Representation Classification Method for Hyperspectral Imagery , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[47]  Jahn Müller,et al.  Higher-Order TV Methods—Enhancement via Bregman Iteration , 2012, Journal of Scientific Computing.

[48]  Lu-Bin Cui,et al.  Preconditioned tensor splitting iterations method for solving multi-linear systems , 2019, Appl. Math. Lett..

[49]  Carola-Bibiane Schönlieb,et al.  Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models , 2015, Journal of Mathematical Imaging and Vision.

[50]  Stepán Papácek,et al.  On the connection and equivalence of two methods for solving an ill-posed inverse problem based on FRAP data , 2015, J. Comput. Appl. Math..

[51]  Jorge Torres,et al.  Wavelet analysis for the elimination of striping noise in satellite images , 2001 .