Hyperspectral Image Denoising with Composite Regularization Models

Denoising is a fundamental task in hyperspectral image (HSI) processing that can improve the performance of classification, unmixing, and other subsequent applications. In an HSI, there is a large amount of local and global redundancy in its spatial domain that can be used to preserve the details and texture. In addition, the correlation of the spectral domain is another valuable property that can be utilized to obtain good results. Therefore, in this paper, we proposed a novel HSI denoising scheme that exploits composite spatial-spectral information using a nonlocal technique (NLT). First, a specific way to extract patches is employed to mine the spatial-spectral knowledge effectively. Next, a framework with composite regularization models is used to implement the denoising. A number of HSI data sets are used in our evaluation experiments and the results demonstrate that the proposed algorithm outperforms other state-of-the-art HSI denoising methods.

[1]  Shen-En Qian,et al.  Noise reduction of hyperspectral imagery using hybrid spatial-spectral derivative-domain wavelet shrinkage , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[2]  Jian Zhang,et al.  Image Restoration Using Joint Statistical Modeling in a Space-Transform Domain , 2014, IEEE Transactions on Circuits and Systems for Video Technology.

[3]  Li Yibing,et al.  Image restoration with dual-prior constraint models based on Split Bregman , 2013 .

[4]  Jean-Michel Morel,et al.  A non-local algorithm for image denoising , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[5]  Marc Teboulle,et al.  Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems , 2009, IEEE Transactions on Image Processing.

[6]  D. Louis Collins,et al.  New methods for MRI denoising based on sparseness and self-similarity , 2012, Medical Image Anal..

[7]  Liangpei Zhang,et al.  Hyperspectral Image Denoising Employing a Spectral–Spatial Adaptive Total Variation Model , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[8]  Liangpei Zhang,et al.  Object-oriented subspace analysis for airborne hyperspectral remote sensing imagery , 2010, Neurocomputing.

[9]  Aleksandra Pizurica,et al.  Two-stage denoising method for hyperspectral images combining KPCA and total variation , 2013, 2013 IEEE International Conference on Image Processing.

[10]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[11]  Lei Zhang,et al.  Nonlocally Centralized Sparse Representation for Image Restoration , 2013, IEEE Transactions on Image Processing.

[12]  Michael A. Saunders,et al.  Atomic Decomposition by Basis Pursuit , 1998, SIAM J. Sci. Comput..

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

[14]  José M. Bioucas-Dias,et al.  A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration , 2007, IEEE Transactions on Image Processing.

[15]  Pierrick Coupé,et al.  MRI denoising based on Sparseness and Self-Similarity , 2011 .

[16]  Mário A. T. Figueiredo,et al.  Near-infrared hyperspectral unmixing based on a minimum volume criterion for fast and accurate chemometric characterization of counterfeit tablets. , 2010, Analytical chemistry.

[17]  Philippa J. Mason,et al.  Hyperspectral remote sensing for mineral exploration in Pulang, Yunnan Province, China , 2011 .

[18]  Liang Xiao,et al.  A Relaxed Split Bregman Iteration for Total Variation Regularized Image Denoising , 2012, ICIC.

[19]  Guillermo Sapiro,et al.  Non-local sparse models for image restoration , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[20]  Tom Goldstein,et al.  The Split Bregman Method for L1-Regularized Problems , 2009, SIAM J. Imaging Sci..

[21]  Guangyi Chen,et al.  Denoising of Hyperspectral Imagery Using Principal Component Analysis and Wavelet Shrinkage , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[22]  Abdul Rehman,et al.  Reduced-Reference Image Quality Assessment by Structural Similarity Estimation , 2012, IEEE Transactions on Image Processing.

[23]  Jon Atli Benediktsson,et al.  Recent Advances in Techniques for Hyperspectral Image Processing , 2009 .

[24]  Marc Teboulle,et al.  A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems , 2009, SIAM J. Imaging Sci..

[25]  Johannes R. Sveinsson,et al.  Hyperspectral image denoising using a new linear model and Sparse Regularization , 2013, 2013 IEEE International Geoscience and Remote Sensing Symposium - IGARSS.

[26]  Hayaru Shouno,et al.  Dictionary-Based Image Denoising by Fused-Lasso Atom Selection , 2014 .

[27]  Michael K. Ng,et al.  A Fast Total Variation Minimization Method for Image Restoration , 2008, Multiscale Model. Simul..

[28]  Alexander F. H. Goetz,et al.  Three decades of hyperspectral remote sensing of the Earth: a personal view. , 2009 .

[29]  Danping Yang,et al.  Domain Decomposition Methods for Nonlocal Total Variation Image Restoration , 2014, J. Sci. Comput..

[30]  Hongyan Zhang HYPERSPECTRAL IMAGE DENOISING WITH CUBIC TOTAL VARIATION MODEL , 2012 .

[31]  Alessandro Foi,et al.  Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering , 2007, IEEE Transactions on Image Processing.

[32]  Yongqiang Zhao,et al.  Hyperspectral Image Denoising via Sparse Representation and Low-Rank Constraint , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[33]  Johannes R. Sveinsson,et al.  Hyperspectral image denoising using a sparse low rank model and dual-tree complex wavelet transform , 2014, 2014 IEEE Geoscience and Remote Sensing Symposium.

[34]  Yin Zhang,et al.  An efficient augmented Lagrangian method with applications to total variation minimization , 2013, Computational Optimization and Applications.

[35]  Carola-Bibiane Schönlieb,et al.  Wavelet Decomposition Method for L2//TV-Image Deblurring , 2012, SIAM J. Imaging Sci..