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 combining a total variational filter and a fourth-order filter
Journal of Visual Communication and Image Representation
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
Interactive Visual Analysis of Perfusion Data
IEEE Transactions on Visualization and Computer Graphics
An Improved Hybrid Model for Molecular Image Denoising
Journal of Mathematical Imaging and Vision
Staircase effect alleviation by coupling gradient fidelity term
Image and Vision Computing
Shock filter coupled to curvature diffusion for image denoising and sharpening
Image and Vision Computing
A diffusion method for image filtering and sharpening
Programming and Computing Software
A Self-governing Hybrid Model for Noise Removal
PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
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
Image Denoising by Harmonic Mean Curvature Flow
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Two new nonlinear nonlocal diffusions for noise reduction
Journal of Mathematical Imaging and Vision
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
Noise removal based on the variation of digitized energy
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
On high-order denoising models and fast algorithms for vector-valued images
IEEE Transactions on Image Processing
A two-step model for image denoising using a duality strategy and surface fitting
Journal of Computational and Applied Mathematics
A multiscale model for virus capsid dynamics
Journal of Biomedical Imaging - Special issue on mathematical methods for images and surfaces
Simulation of a hybrid model for image denoising
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
A Variational Model to Remove the Multiplicative Noise in Ultrasound Images
Journal of Mathematical Imaging and Vision
SIAM Journal on Imaging Sciences
Multigrid Algorithm for High Order Denoising
SIAM Journal on Imaging Sciences
Orientation-Matching Minimization for Image Denoising and Inpainting
International Journal of Computer Vision
An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
International Journal of Computer Vision
New Possibilities in Image Diffusion and Sharpening via High-Order Sobolev Gradient Flows
Journal of Mathematical Imaging and Vision
Two Enhanced Fourth Order Diffusion Models for Image Denoising
Journal of Mathematical Imaging and Vision
A parameter study of a hybrid Laplacian mean-curvature flow denoising model
The Journal of Supercomputing
Correspondence between frame shrinkage and high-order nonlinear diffusion
Applied Numerical Mathematics
A modified fixed-point iterative algorithm for image restoration using fourth-order PDE model
Applied Numerical Mathematics
Image Sharpening via Sobolev Gradient Flows
SIAM Journal on Imaging Sciences
Stability and local feature enhancement of higher order nonlinear diffusion filtering
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Nonparametric neighborhood statistics for MRI denoising
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
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
Augmented Lagrangian Method for Generalized TV-Stokes Model
Journal of Scientific Computing
Fourth-order variational model with local-constraints for denoising images with textures
International Journal of Computational Vision and Robotics
Mode Decomposition Evolution Equations
Journal of Scientific Computing
Anisotropic diffusion for image denoising based on diffusion tensors
Journal of Visual Communication and Image Representation
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
Selective extraction of entangled textures via adaptive PDE transform
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
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
Image Denoising Using Mean Curvature of Image Surface
SIAM Journal on Imaging Sciences
Shock coupled fourth-order diffusion for image enhancement
Computers and Electrical Engineering
A convex relaxation method for computing exact global solutions for multiplicative noise removal
Journal of Computational and Applied Mathematics
Non-convex hybrid total variation for image denoising
Journal of Visual Communication and Image Representation
Nonlinear multigrid method for solving the anisotropic image denoising models
Numerical Algorithms
A new similarity measure for non-local means filtering of MRI images
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
Multiscale geometric modeling of macromolecules I: Cartesian representation
Journal of Computational Physics
A coupled variational model for image denoising using a duality strategy and split Bregman
Multidimensional Systems and Signal Processing
A Combined First and Second Order Variational Approach for Image Reconstruction
Journal of Mathematical Imaging and Vision
Homogeneous Penalizers and Constraints in Convex Image Restoration
Journal of Mathematical Imaging and Vision
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We introduce a new method for image smoothing based on a fourth-order PDE model. The method is tested on a broad range of real medical magnetic resonance images, both in space and time, as well as on nonmedical synthesized test images. Our algorithm demonstrates good noise suppression without destruction of important anatomical or functional detail, even at poor signal-to-noise ratio. We have also compared our method with related PDE models.