Feature-preserving volume filtering
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
A New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Journal of Computational Physics
TV Based Image Restoration with Local Constraints
Journal of Scientific Computing
Tube Methods for BV Regularization
Journal of Mathematical Imaging and Vision
Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions
Journal of Mathematical Imaging and Vision
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Splines in Higher Order TV Regularization
International Journal of Computer Vision
Constrained and SNR-Based Solutions for TV-Hilbert Space Image Denoising
Journal of Mathematical Imaging and Vision
On Semismooth Newton's Methods for Total Variation Minimization
Journal of Mathematical Imaging and Vision
Fast Global Minimization of the Active Contour/Snake Model
Journal of Mathematical Imaging and Vision
A Truncated Lagrange Method for Total Variation-Based Image Restoration
Journal of Mathematical Imaging and Vision
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Journal of Scientific Computing
Image decomposition combining staircase reduction and texture extraction
Journal of Visual Communication and Image Representation
Acceleration methods for image restoration problem with different boundary conditions
Applied Numerical Mathematics
The Lagrange method for the regularization of discrete ill-posed problems
Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
The Lagrange method for the regularization of discrete ill-posed problems
Computational Optimization and Applications
An Algorithm for image removals and decompositions without inverse matrices
Journal of Computational and Applied Mathematics
Convex Hodge Decomposition and Regularization of Image Flows
Journal of Mathematical Imaging and Vision
Some First-Order Algorithms for Total Variation Based Image Restoration
Journal of Mathematical Imaging and Vision
Convex Multi-class Image Labeling by Simplex-Constrained Total Variation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
A Variational Model for Interactive Shape Prior Segmentation and Real-Time Tracking
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Projected Gradient Based Color Image Decomposition
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
A Dual Formulation of the TV-Stokes Algorithm for Image Denoising
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration
Journal of Mathematical Imaging and Vision
Robust solvers for inverse imaging problems using dense single-precision hardware
Journal of Mathematical Imaging and Vision
Shearlet-based total variation diffusion for denoising
IEEE Transactions on Image Processing
Efficient minimization method for a generalized total variation functional
IEEE Transactions on Image Processing
Weighted and extended total variation for image restoration and decomposition
Pattern Recognition
IEEE Transactions on Image Processing
A lattice Boltzmann method for image denoising
IEEE Transactions on Image Processing
Total variation restoration of speckled images using a split-Bregman algorithm
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
On Variational Curve Smoothing and Reconstruction
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
A two-step model for image denoising using a duality strategy and surface fitting
Journal of Computational and Applied Mathematics
Adaptive Variational Method for Restoring Color Images with High Density Impulse Noise
International Journal of Computer Vision
Stopping Criteria for Anisotropic PDEs in Image Processing
Journal of Scientific Computing
Numerical Methods for the Vector-Valued Solutions of Non-smooth Eigenvalue Problems
Journal of Scientific Computing
Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction
Journal of Scientific Computing
Multiplicative noise removal using variable splitting and constrained optimization
IEEE Transactions on Image Processing
Total Variation for Image Restoration with Smooth Area Protection
Journal of Signal Processing Systems
An Augmented Lagrangian Method for TVg+L1-norm Minimization
Journal of Mathematical Imaging and Vision
Duality-based algorithms for total-variation-regularized image restoration
Computational Optimization and Applications
Restoration of Poissonian images using alternating direction optimization
IEEE Transactions on Image Processing
A weberized total variation regularization-based image multiplicative noise removal algorithm
EURASIP Journal on Advances in Signal Processing
Restoration of images based on subspace optimization accelerating augmented Lagrangian approach
Journal of Computational and Applied Mathematics
Image processing techniques for assessing contractility in isolated adult cardiac myocytes
Journal of Biomedical Imaging
Image restoration under mixed noise using globally convex segmentation
Journal of Visual Communication and Image Representation
SIAM Journal on Numerical Analysis
A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
A primal-dual gradient method for image decomposition based on (BV, H-1)
Multidimensional Systems and Signal Processing
Total variation regularization for the reconstruction of a mountain topography
Applied Numerical Mathematics
SIAM Journal on Imaging Sciences
A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
SIAM Journal on Imaging Sciences
Continuous Primal-Dual Methods for Image Processing
SIAM Journal on Imaging Sciences
Error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing
SIAM Journal on Numerical Analysis
A Regularization Parameter for Nonsmooth Tikhonov Regularization
SIAM Journal on Scientific Computing
Approximate methods for constrained total variation minimization
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
Geometry of total variation regularized Lp-model
Journal of Computational and Applied Mathematics
Homotopy method for a mean curvature-based denoising model
Applied Numerical Mathematics
Journal of Scientific Computing
Augmented Lagrangian Method for Generalized TV-Stokes Model
Journal of Scientific Computing
Some projection methods with the BB step sizes for variational inequalities
Journal of Computational and Applied Mathematics
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
Total variation blind deconvolution employing split Bregman iteration
Journal of Visual Communication and Image Representation
A Fast Fixed Point Algorithm for Total Variation Deblurring and Segmentation
Journal of Mathematical Imaging and Vision
On a reaction-diffusion system applied to image decomposition and restoration
Mathematical and Computer Modelling: An International Journal
Journal of Mathematical Imaging and Vision
SIAM Journal on Imaging Sciences
Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging
SIAM Journal on Imaging Sciences
Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks
Journal of Computational and Applied Mathematics
A convex relaxation method for computing exact global solutions for multiplicative noise removal
Journal of Computational and Applied Mathematics
Uzawa block relaxation methods for color image restoration
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
Nonlinear Multilayered Representation of Graph-Signals
Journal of Mathematical Imaging and Vision
Journal of Scientific Computing
Bregmanized Domain Decomposition for Image Restoration
Journal of Scientific Computing
Polyakov action minimization for efficient color image processing
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
Linear convergence analysis of the use of gradient projection methods on total variation problems
Computational Optimization and Applications
Bregman operator splitting with variable stepsize for total variation image reconstruction
Computational Optimization and Applications
Active contour model for simultaneous MR image segmentation and denoising
Digital Signal Processing
A Bayesian approach to visualization-oriented hyperspectral image fusion
Information Fusion
Journal of Computational Physics
Nonlinear multigrid method for solving the anisotropic image denoising models
Numerical Algorithms
Journal of Scientific Computing
A fixed-point augmented Lagrangian method for total variation minimization problems
Journal of Visual Communication and Image Representation
Total variation regularization algorithms for images corrupted with different noise models: a review
Journal of Electrical and Computer Engineering
Computers & Mathematics with Applications
Original Article: A new nonlocal total variation regularization algorithm for image denoising
Mathematics and Computers in Simulation
Nonparametric sparsity and regularization
The Journal of Machine Learning Research
A linearly convergent first-order algorithm for total variation minimisation in image processing
International Journal of Bioinformatics Research and Applications
An Iterative Scheme for Total Variation-Based Image Denoising
Journal of Scientific Computing
A nonlinear level set model for image deblurring and denoising
The Visual Computer: International Journal of Computer Graphics
A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models
Journal of Mathematical Imaging and Vision
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We present a new method for solving total variation (TV) minimization problems in image restoration. The main idea is to remove some of the singularity caused by the nondifferentiability of the quantity $|\nabla u|$ in the definition of the TV-norm before we apply a linearization technique such as Newton's method. This is accomplished by introducing an additional variable for the flux quantity appearing in the gradient of the objective function, which can be interpreted as the normal vector to the level sets of the image u. Our method can be viewed as a primal-dual method as proposed by Conn and Overton [ A Primal-Dual Interior Point Method for Minimizing a Sum of Euclidean Norms, preprint, 1994] and Andersen [Ph. D. thesis, Odense University, Denmark, 1995] for the minimization of a sum of Euclidean norms. In addition to possessing local quadratic convergence, experimental results show that the new method seems to be globally convergent.