Compressive Sensing of Noisy Multispectral Images

Compressive sensing of noisy multispectral images is considered in this letter. Multispectral images in remote sensing applications are multichannel and inherently noisy. An approach using Bregman split method for optimization in both spatial and transform domains is proposed. The performance of the proposed algorithm is evaluated by comparing with other approaches. It is shown that the proposed algorithm performs favorably compared with other approaches with noisy multispectral images in experiments.

[1]  Baoxin Li,et al.  Compressive imaging of color images , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

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

[3]  Deanna Needell,et al.  CoSaMP: Iterative signal recovery from incomplete and inaccurate samples , 2008, ArXiv.

[4]  Richard G. Baraniuk,et al.  Kronecker Compressive Sensing , 2012, IEEE Transactions on Image Processing.

[5]  Dong Liang,et al.  Adaptive Dictionary Learning in Sparse Gradient Domain for Image Recovery , 2013, IEEE Transactions on Image Processing.

[6]  Yap-Peng Tan,et al.  Edge-preserving image denoising via optimal color space projection , 2006, IEEE Transactions on Image Processing.

[7]  Rama Chellappa,et al.  Gradient-Based Image Recovery Methods From Incomplete Fourier Measurements , 2012, IEEE Transactions on Image Processing.

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

[9]  Jean-Luc Starck,et al.  Sparse Solution of Underdetermined Systems of Linear Equations by Stagewise Orthogonal Matching Pursuit , 2012, IEEE Transactions on Information Theory.

[10]  Peng Liu,et al.  Restoration of multispectral images by total variation with auxiliary image , 2013 .

[11]  Rabab K. Ward,et al.  Compressed sensing of color images , 2010, Signal Process..

[12]  Rabab Kreidieh Ward,et al.  Algorithms to Approximately Solve NP Hard Row-Sparse MMV Recovery Problem: Application to Compressive Color Imaging , 2012, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[13]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[14]  Lawrence Carin,et al.  Bayesian Compressive Sensing , 2008, IEEE Transactions on Signal Processing.

[15]  Mário A. T. Figueiredo,et al.  Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems , 2007, IEEE Journal of Selected Topics in Signal Processing.