A Variational Approach to Remove Outliers and Impulse Noise
Journal of Mathematical Imaging and Vision
Structure-Texture Image Decomposition--Modeling, Algorithms, and Parameter Selection
International Journal of Computer Vision
Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization
Journal of Mathematical Imaging and Vision
A comparison of three total variation based texture extraction models
Journal of Visual Communication and Image Representation
Fast Global Minimization of the Active Contour/Snake Model
Journal of Mathematical Imaging and Vision
An Improved LOT Model for Image Restoration
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Efficient minimization method for a generalized total variation functional
IEEE Transactions on Image Processing
New total variation regularized L1 model for image restoration
Digital Signal Processing
An Augmented Lagrangian Method for TVg+L1-norm Minimization
Journal of Mathematical Imaging and Vision
SIAM Journal on Scientific Computing
SIAM Journal on Imaging Sciences
Exact optimization of discrete constrained total variation minimization problems
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Constrained total variation minimization and application in computerized tomography
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Domain decomposition methods with graph cuts algorithms for total variation minimization
Advances in Computational Mathematics
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Fast algorithms for l1 norm/mixed l1 and l2 norms for image restoration
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
A fast and exact algorithm for total variation minimization
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part I
Journal of Visual Communication and Image Representation
Proximity algorithms for the L1/TV image denoising model
Advances in Computational Mathematics
Coupling Image Restoration and Segmentation: A Generalized Linear Model/Bregman Perspective
International Journal of Computer Vision
Total variation regularization algorithms for images corrupted with different noise models: a review
Journal of Electrical and Computer Engineering
Hi-index | 35.68 |
We consider a regularizing functional defined by means of the l 1 norm, where the regularization is obtained using first differences; as is well-known, such a functional can be put in relation with recursive median filters of appropriate window length. We show that at least one of the minima is reached at a vector, whose components have values over the same discrete set of the given signal. This suggests a simple method to refine the approximate solution to the regularization problem, which can be obtained with recursive median filters of increasing order. We also report an example of application, where the refinement method is employed for a signal detection problem