A Fast and Automatic Sparse Deconvolution in the Presence of Outliers

作者: Ali Gholami , Mauricio D. Sacchi

DOI: 10.1109/TGRS.2012.2189777

关键词: Blind deconvolutionFrequency domainBasis pursuit denoisingComputational complexity theoryAlgorithmRegularization (mathematics)MathematicsGaussianDeconvolutionMathematical optimizationWiener deconvolution

摘要: … is introduced in the formulation of the reconstruction problem (we … The function J1 is the misfit or the consistency to the data and is … and acts as a penalty or regularization term [2]. The …

参考文章(32)
Sinan Yildirim, ATaylan Cemgil, Mustafa Aktar, Yaman Ozakin, Aysin Ertuzun, None, A Bayesian Deconvolution Approach for Receiver Function Analysis IEEE Transactions on Geoscience and Remote Sensing. ,vol. 48, pp. 4151- 4163 ,(2010) , 10.1109/TGRS.2010.2050327
Emmanuel J Candes, Justin K Romberg, Terence Tao, None, Stable signal recovery from incomplete and inaccurate measurements Communications on Pure and Applied Mathematics. ,vol. 59, pp. 1207- 1223 ,(2006) , 10.1002/CPA.20124
Jianwei Ma, F.-X. Le Dimet, Deblurring From Highly Incomplete Measurements for Remote Sensing IEEE Transactions on Geoscience and Remote Sensing. ,vol. 47, pp. 792- 802 ,(2009) , 10.1109/TGRS.2008.2004709
E. Baziw, T.J. Ulrych, Principle phase decomposition: a new concept in blind seismic deconvolution IEEE Transactions on Geoscience and Remote Sensing. ,vol. 44, pp. 2271- 2281 ,(2006) , 10.1109/TGRS.2006.872137
D.L. Donoho, Compressed sensing ,(2004)
Elena Resmerita, Dirk A. Lorenz, Klaus Frick, Morozov’s Principle for the Augmented Lagrangian Method Applied to Linear Inverse Problems Multiscale Modeling & Simulation. ,vol. 9, pp. 1528- 1548 ,(2011) , 10.1137/100812835
Simon Setzer, Split Bregman Algorithm, Douglas-Rachford Splitting and Frame Shrinkage international conference on scale space and variational methods in computer vision. pp. 464- 476 ,(2009) , 10.1007/978-3-642-02256-2_39
Tadeusz J. Ulrych, Mauricio D. Sacchi, Alan Woodbury, A Bayes tour of inversion: A tutorial Geophysics. ,vol. 66, pp. 55- 69 ,(2001) , 10.1190/1.1444923
Mauricio D. Sacchi, Tadeusz J. Ulrych, Nonminimum-phase wavelet estimation using higher order statistics Geophysics. ,vol. 19, pp. 80- 83 ,(2000) , 10.1190/1.1438466