Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Algorithms for Computing Motion by Mean Curvature
SIAM Journal on Numerical Analysis
Scalable Parallel Preconditioning with the Sparse Approximate Inverse of Triangular Matrices
SIAM Journal on Matrix Analysis and Applications
On the Incomplete Cholesky Decomposition of a Class of Perturbed Matrices
SIAM Journal on Scientific Computing
Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Fast Implicit Active Contour Models
Proceedings of the 24th DAGM Symposium on Pattern Recognition
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Iterative Methods for Toeplitz Systems (Numerical Mathematics and Scientific Computation)
Iterative Methods for Toeplitz Systems (Numerical Mathematics and Scientific Computation)
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Journal of Scientific Computing
Semi-Implicit Covolume Method in 3D Image Segmentation
SIAM Journal on Scientific Computing
Efficient Preconditioning of Sequences of Nonsymmetric Linear Systems
SIAM Journal on Scientific Computing
Efficient and reliable schemes for nonlinear diffusion filtering
IEEE Transactions on Image Processing
Nonsymmetric Preconditioner Updates in Newton-Krylov Methods for Nonlinear Systems
SIAM Journal on Scientific Computing
Alternating Krylov subspace image restoration methods
Journal of Computational and Applied Mathematics
An adaptive norm algorithm for image restoration
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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Image restoration is the recovery of images that have been degraded by blur and noise. Nonlinear degenerate diffusion partial differential equation models for image restoration require often the solution of a challenging discrete problem. We consider solving the related discrete models in the time-scale steps by Krylov iterative solvers accelerated by updating a preconditioner based on incomplete factorizations which presents a global computational cost slightly more than linear in the number of the image pixels. We demonstrate the efficiency of the strategy by denoising and deblurring some images with a generalized Alvarez-Lions-Morel-like partial differential equation model discretized by a semi implicit complementary volume scheme.