Convex analysis and variational problems
Convex analysis and variational problems
SIAM Journal on Numerical Analysis
A Variational Approach to Remove Outliers and Impulse Noise
Journal of Mathematical Imaging and Vision
SIAM Journal on Scientific Computing
A TV Based Restoration Model with Local Constraints
Journal of Scientific Computing
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
An Efficient Primal-Dual Method for $L^1$TV Image Restoration
SIAM Journal on Imaging Sciences
Color TV: total variation methods for restoration of vector-valued images
IEEE Transactions on Image Processing
Uzawa block relaxation methods for color image restoration
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
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A general multi-scale vectorial total variation model with spatially adapted regularization parameter for color image restoration is introduced in this paper. This total variation model contains an Lτ-data fidelity for any τC[1,2]. The use of a spatial dependent regularization parameter improves the reconstruction of features in the image as well as an adequate smoothing for the homogeneous parts. The automated adaptation of this regularization parameter is made according to local statistical characteristics of the noise which contaminates the image. The corresponding multiscale vectorial total variation model is solved by Fenchel-duality and inexact semismooth Newton techniques. Numerical results are presented for the cases τ=1 and τ=2 which reconstruct images contaminated with salt-and-pepper noise and Gaussian noise, respectively.