A Variational Approach to Remove Outliers and Impulse Noise
Journal of Mathematical Imaging and Vision
Iterative Total Variation Regularization with Non-Quadratic Fidelity
Journal of Mathematical Imaging and Vision
Suppression of Impulse Noise in Medical Images with the Use of Fuzzy Adaptive Median Filter
Journal of Medical Systems
Robust Face Recognition via Sparse Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sparse reconstruction by separable approximation
IEEE Transactions on Signal Processing
Dictionary learning for sparse approximations with the majorization method
IEEE Transactions on Signal Processing
An Efficient TVL1 Algorithm for Deblurring Multichannel Images Corrupted by Impulsive Noise
SIAM Journal on Scientific Computing
Efficient minimization method for a generalized total variation functional
IEEE Transactions on Image Processing
Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
SIAM Journal on Imaging Sciences
Sparse and Redundant Modeling of Image Content Using an Image-Signature-Dictionary
SIAM Journal on Imaging Sciences
Fuzzy spatial relationships for image processing and interpretation: a review
Image and Vision Computing
Fast Two-Phase Image Deblurring Under Impulse Noise
Journal of Mathematical Imaging and Vision
Adaptive kernel-based image denoising employing semi-parametric regularization
IEEE Transactions on Image Processing
Dictionary identification: sparse matrix-factorization via l1-minimization
IEEE Transactions on Information Theory
An efficient two-phase L1-TV method for restoring blurred images with impulse noise
IEEE Transactions on Image Processing
Fast image recovery using variable splitting and constrained optimization
IEEE Transactions on Image Processing
Quaternion switching filter for impulse noise reduction in color image
Signal Processing
A novel predual dictionary learning algorithm
Journal of Visual Communication and Image Representation
-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
IEEE Transactions on Signal Processing
An augmented Lagrangian approach to general dictionary learning for image denoising
Journal of Visual Communication and Image Representation
IEEE Transactions on Information Theory
Compressed Sensing and Redundant Dictionaries
IEEE Transactions on Information Theory
Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
IEEE Transactions on Image Processing
Deblurring of Color Images Corrupted by Impulsive Noise
IEEE Transactions on Image Processing
Weighted Averaging for Denoising With Overcomplete Dictionaries
IEEE Transactions on Image Processing
Adaptive median filters: new algorithms and results
IEEE Transactions on Image Processing
Online dictionary learning algorithm with periodic updates and its application to image denoising
Expert Systems with Applications: An International Journal
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To effectively remove impulse noise in natural images while keeping image details intact, this paper proposes a dictionary learning based impulse noise removal (DL-INR) algorithm, which explores both the strength of the patch-wise adaptive dictionary learning technique to image structure preservation and the robustness possessed by the @?"1-norm data-fidelity term to impulse noise cancellation. The restoration problem is mathematically formulated into an @?"1-@?"1 minimization objective and solved under the augmented Lagrangian framework through a two-level nested iterative procedure. We have compared the DL-INR algorithm to three median filter based methods, two state-of-the-art variational regularization based methods and a fixed dictionary based sparse representation method on restoring impulse noise corrupted natural images. The results suggest that DL-INR has a better ability to suppress impulse noise than other six algorithms and can produce restored images with higher peak signal-to-noise ratio (PSNR).