Relations Between Regularization and Diffusion Filtering
Journal of Mathematical Imaging and Vision
Tube Methods for BV Regularization
Journal of Mathematical Imaging and Vision
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Variational Image Binarization and its Multi-Scale Realizations
Journal of Mathematical Imaging and Vision
Adapted Total Variation for Artifact Free Decompression of JPEG Images
Journal of Mathematical Imaging and Vision
Total Variation Wavelet Inpainting
Journal of Mathematical Imaging and Vision
The Equivalence of the Taut String Algorithm and BV-Regularization
Journal of Mathematical Imaging and Vision
A Truncated Lagrange Method for Total Variation-Based Image Restoration
Journal of Mathematical Imaging and Vision
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
Convergence of Fixed Point Iteration for Modified Restoration Problems
Journal of Mathematical Imaging and Vision
The Lagrange method for the regularization of discrete ill-posed problems
Computational Optimization and Applications
MEDITOMO: a high performance software package for 3D SPECT imaging
International Journal of Computer Mathematics
An Algorithm for image removals and decompositions without inverse matrices
Journal of Computational and Applied Mathematics
Some First-Order Algorithms for Total Variation Based Image Restoration
Journal of Mathematical Imaging and Vision
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer 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
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Journal of Mathematical Imaging and Vision
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
A modified fixed-point iterative algorithm for image restoration using fourth-order PDE 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
A statistical multiresolution strategy for image reconstruction
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Bregmanized Domain Decomposition for Image Restoration
Journal of Scientific Computing
Linear convergence analysis of the use of gradient projection methods on total variation problems
Computational Optimization and Applications
Journal of Mathematical Imaging and Vision
An Iterative Scheme for Total Variation-Based Image Denoising
Journal of Scientific Computing
Hi-index | 0.01 |
In total variation denoising, one attempts to remove noise from a signal or image by solving a nonlinear minimization problem involving a total variation criterion. Several approaches based on this idea have recently been shown to be very effective, particularly for denoising functions with discontinuities. This paper analyzes the convergence of an iterative method for solving such problems. The iterative method involves a "lagged diffusivity" approach in which a sequence of linear diffusion problems are solved. Global convergence in a finite-dimensional setting is established, and local convergence properties, including rates and their dependence on various parameters, are examined.