Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
A multigrid tutorial (2nd ed.)
A multigrid tutorial (2nd ed.)
Multigrid
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Handbook of Mathematical Models in Computer Vision
Handbook of Mathematical Models in Computer Vision
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
A Variational Model for Capturing Illusory Contours Using Curvature
Journal of Mathematical Imaging and 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
Fast numerical algorithms for total variation based image restoration
Fast numerical algorithms for total variation based image restoration
The Split Bregman Method for L1-Regularized Problems
SIAM Journal on Imaging Sciences
On high-order denoising models and fast algorithms for vector-valued images
IEEE Transactions on Image Processing
Duality-based algorithms for total-variation-regularized image restoration
Computational Optimization and Applications
Multigrid Algorithm for High Order Denoising
SIAM Journal on Imaging Sciences
Total variation minimization and a class of binary MRF models
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
A computational algorithm for minimizing total variation in image restoration
IEEE Transactions on Image Processing
Fourth-order partial differential equations for noise removal
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Image Denoising Using Mean Curvature of Image Surface
SIAM Journal on Imaging Sciences
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In this paper, we study a nonlinear multigrid method for solving a general image denoising model with two L 1-regularization terms. Different from the previous studies, we give a simpler derivation of the dual formulation of the general model by augmented Lagrangian method. In order to improve the convergence rate of the proposed multigrid method, an improved dual iteration is proposed as its smoother. Furthermore, we apply the proposed method to the anisotropic ROF model and the anisotropic LLT model. We also give the local Fourier analysis (LFAs) of the Chambolle's dual iterations and a modified smoother for solving these two models, respectively. Numerical results illustrate the efficiency of the proposed method and indicate that such a multigrid method is more suitable to deal with large-sized images.