Year: 2017
Numerical Mathematics: Theory, Methods and Applications, Vol. 10 (2017), Iss. 1 : pp. 186–204
Abstract
We propose a new two-phase method for reconstruction of blurred images corrupted by impulse noise. In the first phase, we use a noise detector to identify the pixels that are contaminated by noise, and then, in the second phase, we reconstruct the noisy pixels by solving an equality constrained total variation minimization problem that preserves the exact values of the noise-free pixels. For images that are only corrupted by impulse noise (i.e., not blurred) we apply the semi-smooth Newton's method to a reduced problem, and if the images are also blurred, we solve the equality constrained reconstruction problem using a first-order primal-dual algorithm. The proposed model improves the computational efficiency (in the denoising case) and has the advantage of being regularization parameter-free. Our numerical results suggest that method is competitive in terms of its restoration capabilities with respect to the other two-phase methods.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2017.m1613
Numerical Mathematics: Theory, Methods and Applications, Vol. 10 (2017), Iss. 1 : pp. 186–204
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
-
Restoration of Blurred Images Corrupted by Impulse Noise via Median Filters and ℓp-ℓqMinimization
Alotaibi, Majed | Buccini, Alessandro | Reichel, Lothar2021 21st International Conference on Computational Science and Its Applications (ICCSA), (2021), P.112
https://doi.org/10.1109/ICCSA54496.2021.00025 [Citations: 1] -
WELL-POSEDNESS AND NUMERICAL SIMULATIONS OF AN ANISOTROPIC REACTION-DIFFUSION MODEL IN CASE 2D
Croitoru, Anca | Moroşanu, Costică | Tănase, GabrielaJournal of Applied Analysis & Computation, Vol. 11 (2021), Iss. 5 P.2258
https://doi.org/10.11948/20200359 [Citations: 6] -
An ℓp-ℓq minimization method with cross-validation for the restoration of impulse noise contaminated images
Buccini, Alessandro | Reichel, LotharJournal of Computational and Applied Mathematics, Vol. 375 (2020), Iss. P.112824
https://doi.org/10.1016/j.cam.2020.112824 [Citations: 17]