Journal of Computational Physics
Convection of Concentrated Vortices and Passive Scalars as Solitary Waves
Journal of Scientific Computing
Edge-Forming Methods for Image Zooming
Journal of Mathematical Imaging and Vision
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Journal of Scientific Computing
Equalized net diffusion (END) in Image denoising
MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
Blind Deconvolution Models Regularized by Fractional Powers of the Laplacian
Journal of Mathematical Imaging and Vision
Image Super-Resolution by TV-Regularization and Bregman Iteration
Journal of Scientific Computing
(Φ,Φ*) Image Decomposition Models and Minimization Algorithms
Journal of Mathematical Imaging and Vision
Hyperbolic Numerics for Variational Approaches to Correspondence Problems
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Weighted and extended total variation for image restoration and decomposition
Pattern Recognition
Riemannian curvature-driven flows for tensor-valued data
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
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
New total variation regularized L1 model for image restoration
Digital Signal Processing
Updating preconditioners for nonlinear deblurring and denoising image restoration
Applied Numerical Mathematics
Total Variation for Image Restoration with Smooth Area Protection
Journal of Signal Processing Systems
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Simulation of a hybrid model for image denoising
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
Duality-based algorithms for total-variation-regularized image restoration
Computational Optimization and Applications
Segmentation of ultrasound images of the carotid using RANSAC and cubic splines
Computer Methods and Programs in Biomedicine
Can Variational Models for Correspondence Problems Benefit from Upwind Discretisations?
Journal of Mathematical Imaging and Vision
Image processing techniques for assessing contractility in isolated adult cardiac myocytes
Journal of Biomedical Imaging
A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images
SIAM Journal on Scientific Computing
Multigrid Algorithm for High Order Denoising
SIAM Journal on Imaging Sciences
An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
International Journal of Computer Vision
A parameter study of a hybrid Laplacian mean-curvature flow denoising model
The Journal of Supercomputing
Mathematical models for restoration of baroque paintings
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Alternating Krylov subspace image restoration methods
Journal of Computational and Applied Mathematics
Homotopy method for a mean curvature-based denoising model
Applied Numerical Mathematics
Total variation based iterative image reconstruction
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
Explicit nonflat time evolution for PDE-Based image restoration
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
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
Adaptive diffusion flow active contours for image segmentation
Computer Vision and Image Understanding
Original Article: A new nonlocal total variation regularization algorithm for image denoising
Mathematics and Computers in Simulation
Despeckling low SNR, low contrast ultrasound images via anisotropic level set diffusion
Multidimensional Systems and Signal Processing
A nonlinear level set model for image deblurring and denoising
The Visual Computer: International Journal of Computer Graphics
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In this paper we formulate a time dependent model to approximate the solution to the nonlinear total variation optimization problem for deblurring and noise removal introduced by Rudin and Osher [ Total variation based image restoration with free local constraints, in Proceedings IEEE Internat. Conf. Imag. Proc., IEEE Press, Piscataway, NJ, (1994), pp. 31--35] and Rudin, Osher, and Fatemi [ Phys. D, 60 (1992), pp. 259--268], respectively. Our model is based on level set motion whose steady state is quickly reached by means of an explicit procedure based on Roe's scheme [ J. Comput. Phys., 43 (1981), pp. 357--372], used in fluid dynamics. We show numerical evidence of the speed of resolution and stability of this simple explicit procedure in some representative 1D and 2D numerical examples.