Sparsity-based image denoising via dictionary learning and structural clustering

Keywords

Cluster analysis, Artificial intelligence, Computer science, Image (mathematics), Noise reduction

References

• Online dictionary learning for sparse codingJulien Mairal, Francis Bach, Jean Ponce — 2009
• An Iterative Regularization Method for Total Variation-Based Image RestorationStanley Osher, Martin Burger, Donald Goldfarb — 2005
• L1-L2 Optimization in Signal and Image ProcessingMichael Zibulevsky, Michael Elad — 2010
• Image Denoising by Sparse 3-D Transform-Domain Collaborative FilteringKostadin Dabov, Alessandro Foi, Vladimir Katkovnik — 2007
• A non-local algorithm for image denoisingAntoni Buades, B. Coll, Jean‐Michel Morel — 2005
• Bilateral filtering for gray and color imagesCarlo Tomasi, Roberto Manduchi — 1998
• Enhancing Sparsity by Reweighted ℓ1 MinimizationEmmanuel J. Candès, Michael B. Wakin, Stephen Boyd — 2007
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraintIngrid Daubechies, Michel Defrise, Christine De Mol — 2003
• Methods for choosing the regularization parameter and estimating the noise variance in image restoration and their relationN.P. Galatsanos, Aggelos K. Katsaggelos — 1992
• On Estimation of a Probability Density Function and ModeEmanuel Parzen — 1962
• Clustering-Based Denoising With Locally Learned DictionariesPriyam Chatterjee, Peyman Milanfar — 2009
• Iteratively reweighted least squares minimization for sparse recoveryIngrid Daubechies, Ronald DeVore, Massimo Fornasier — 2008
• Pointwise Shape-Adaptive DCT for High-Quality Denoising and Deblocking of Grayscale and Color ImagesAlessandro Foi, Vladimir Katkovnik, Karen Egiazarian — 2007
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency informationEmmanuel J. Candès, Justin Romberg, Terence Tao — 2004
• Image Denoising Via Sparse and Redundant Representations Over Learned DictionariesMichael Elad, Michal Aharon — 2006
• Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependencyL. Sendur, Ivan Selesnick — 2002
• Deconvolutional networksMatthew D. Zeiler, Dilip Krishnan, Graham W. Taylor — 2010
• Non-local sparse models for image restorationJulien Mairal, Francis Bach, Jean Ponce — 2009

Cited by

• Implicit and Explicit Codes For Diffraction TomographyA. Mrozack — 2014
• Applications of compressed sensing in computational physicsAndreas Solbrå — 2014
• A novel Non-local means image denoising method based on grey theoryHongjun Li, Ching Y. Suen — 2016
• Sparse Representation, Discriminative Dictionaries and Projections for Visual ClassificationA. Shrivastava — 2015
• Denoising filters evaluation for magnetic resonance imagesDanni Ai, Jian Yang, Jingfan Fan — 2015
• Multiplicative Noise Removal via Nonlocal Similarity-Based Sparse RepresentationLixia Chen, Xujiao Liu, Xuewen Wang — 2016
• Rearrangement of Pixels and Patches to Remove Noise in Color Images and to Restore the Missing Pixels in it by Permuting its Pixels and PatchesM. Nithyabhavani., R. Malathi.S. — 2014
• Spectral Sparse Representation for Clustering: Evolved from PCA, K-means, Laplacian Eigenmap, and Ratio CutZhenfang Hu, Gang Pan, Yueming Wang — 2014
• Bayesian image denoising using two complementary discontinuity measuresCheolkon Jung, Licheng Jiao, Maoguo Gong — 2012
• Optimized Unsupervised Image Classification Based on Neutrosophic Set TheoryA. E. Amin — 2014
• Weighted Couple Sparse Representation With Classified Regularization for Impulse Noise RemovalC. L. Philip Chen, Licheng Liu, Long Chen — 2015
• Adaptive Representations for Image RestorationRuomei Yan — 2014
• Color Image Denoising via Discriminatively Learned Iterative ShrinkageJian Sun, Zingben Xu — 2015
• Image Restoration Using Gaussian Mixture Models With Spatially Constrained Patch ClusteringMilad Niknejad, Hossein Rabbani, Massoud Babaie‐Zadeh — 2015
• Image denoising using orthogonal locality preserving projectionsGitam Shikkenawis, Suman K. Mitra, Ajit Rajwade — 2015
• Image denoising based on improved data-driven sparse representationDai-Qiang Chen — 2015
• Représentations parcimonieuses et apprentissage de dictionnaires pour la compression et la classification d'images satellitesJérémy Aghaei Mazaheri — 2015
• Image-Specific Prior Adaptation for DenoisingXin Lu, Zhe Lin, Hailin Jin — 2015
• Reflection removal for in-vehicle black box videosChristian Simon, In Kyu Park — 2015
• Color demosaicking via robust adaptive sparse representationLili Huang, Liang Xiao, Qinghua Chen — 2015

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