Applied and Computational Harmonic Analysis Convergence Analysis of the Bregman Method for the Variational Model of Image Denoising

[1]  L. Bregman The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming , 1967 .

[2]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[3]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[4]  I. Daubechies,et al.  Wavelets on the Interval and Fast Wavelet Transforms , 1993 .

[5]  M. Victor Wickerhauser,et al.  Adapted wavelet analysis from theory to software , 1994 .

[6]  Truong Q. Nguyen,et al.  Wavelets and filter banks , 1996 .

[7]  I. Johnstone,et al.  Minimax estimation via wavelet shrinkage , 1998 .

[8]  Yves Meyer,et al.  Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures , 2001 .

[9]  Michael Elad,et al.  Submitted to Ieee Transactions on Image Processing Image Decomposition via the Combination of Sparse Representations and a Variational Approach , 2022 .

[10]  Wotao Yin,et al.  An Iterative Regularization Method for Total Variation-Based Image Restoration , 2005, Multiscale Model. Simul..

[11]  Stanley Osher,et al.  Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet-Based Denoising , 2007, IEEE Transactions on Image Processing.

[12]  Yin Zhang,et al.  A Fast Algorithm for Image Deblurring with Total Variation Regularization , 2007 .

[13]  Guy Gilboa,et al.  Nonlocal Linear Image Regularization and Supervised Segmentation , 2007, Multiscale Model. Simul..

[14]  Charles K. Chui,et al.  Wavelet-based minimal-energy approach to image restoration , 2007 .

[15]  R. Jia The Projection Method in the Development of Wavelet Bases , 2007 .

[16]  Wotao Yin,et al.  Bregman Iterative Algorithms for (cid:2) 1 -Minimization with Applications to Compressed Sensing ∗ , 2008 .

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

[18]  Jian-Feng Cai,et al.  Convergence of the linearized Bregman iteration for ℓ1-norm minimization , 2009, Math. Comput..

[19]  Jian-Feng Cai,et al.  Linearized Bregman iterations for compressed sensing , 2009, Math. Comput..