Adapted Total Variation for Artifact Free Decompression of JPEG Images
Journal of Mathematical Imaging and Vision
Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional
International Journal of Computer Vision
Splines in Higher Order TV Regularization
International Journal of Computer Vision
Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization
Journal of Mathematical Imaging and Vision
Image restoration combining a total variational filter and a fourth-order filter
Journal of Visual Communication and Image Representation
Staircase effect alleviation by coupling gradient fidelity term
Image and Vision Computing
An extension of min/max flow framework
Image and Vision Computing
An Algorithm for image removals and decompositions without inverse matrices
Journal of Computational and Applied Mathematics
Variational denoising of partly textured images
Journal of Visual Communication and Image Representation
An Improved LOT Model for Image Restoration
Journal of Mathematical Imaging and 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
An Anisotropic Fourth-Order Partial Differential Equation for Noise Removal
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
Total-Variation Based Piecewise Affine Regularization
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Edge-Preserving Image Reconstruction with Wavelet-Domain Edge Continuation
ICIAR '09 Proceedings of the 6th International Conference on Image Analysis and Recognition
Properties of Higher Order Nonlinear Diffusion Filtering
Journal of Mathematical Imaging and Vision
Adaptive total variation denoising based on difference curvature
Image and Vision Computing
A lattice Boltzmann method for image denoising
IEEE Transactions on Image Processing
Ramp preserving Perona-Malik model
Signal Processing
On high-order denoising models and fast algorithms for vector-valued images
IEEE Transactions on Image Processing
A variational approach for reconstructing low dose images in clinical helical CT
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Homogeneity similarity based image denoising
Pattern Recognition
SIAM Journal on Imaging Sciences
Multigrid Algorithm for High Order Denoising
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
International Journal of Computer Vision
Two Enhanced Fourth Order Diffusion Models for Image Denoising
Journal of Mathematical Imaging and Vision
A modified fixed-point iterative algorithm for image restoration using fourth-order PDE model
Applied Numerical Mathematics
Total Variation as a Local Filter
SIAM Journal on Imaging Sciences
A Modified TV-Stokes Model for Image Processing
SIAM Journal on Scientific Computing
Stability and local feature enhancement of higher order nonlinear diffusion filtering
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Homotopy method for a mean curvature-based denoising model
Applied Numerical 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
Relations between higher order TV regularization and support vector regression
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Mode Decomposition Evolution Equations
Journal of Scientific Computing
A fast augmented lagrangian method for euler's elastica model
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Adaptive Fractional-order Multi-scale Method for Image Denoising
Journal of Mathematical Imaging and Vision
Fully fractional anisotropic diffusion for image denoising
Mathematical and Computer Modelling: An International Journal
A New TV-Stokes Model with Augmented Lagrangian Method for Image Denoising and Deconvolution
Journal of Scientific Computing
A Nonlocal Version of the Osher-Solé-Vese Model
Journal of Mathematical Imaging and Vision
Image Denoising Using Mean Curvature of Image Surface
SIAM Journal on Imaging Sciences
Higher-Order TV Methods--Enhancement via Bregman Iteration
Journal of Scientific Computing
Proximity algorithms for the L1/TV image denoising model
Advances in Computational Mathematics
Non-convex hybrid total variation for image denoising
Journal of Visual Communication and Image Representation
A fixed-point augmented Lagrangian method for total variation minimization problems
Journal of Visual Communication and Image Representation
Computers & Mathematics with Applications
On a System of Adaptive Coupled PDEs for Image Restoration
Journal of Mathematical Imaging and Vision
Original Article: A new nonlocal total variation regularization algorithm for image denoising
Mathematics and Computers in Simulation
A coupled variational model for image denoising using a duality strategy and split Bregman
Multidimensional Systems and Signal Processing
An Iterative Scheme for Total Variation-Based Image Denoising
Journal of Scientific Computing
A Combined First and Second Order Variational Approach for Image Reconstruction
Journal of Mathematical Imaging and Vision
A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization
Journal of Mathematical Imaging and Vision
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The total variation (TV) denoising method is a PDE-based technique that preserves edges well but has the sometimes undesirable staircase effect, namely, the transformation of smooth regions ( ramps) into piecewise constant regions ( stairs). In this paper we present an improved model, constructed by adding a nonlinear fourth order diffusive term to the Euler--Lagrange equations of the variational TV model. Our technique substantially reduces the staircase effect, while preserving sharp jump discontinuities (edges). We show numerical evidence of the power of resolution of this novel model with respect to the TV model in some 1D and 2D numerical examples.