A new constrained total variational deblurring model and its fast algorithm

Williams, Bryan Michael ORCID: 0000-0001-5930-287X, Chen, Ke ORCID: 0000-0002-6093-6623 and Harding, Simon P ORCID: 0000-0003-4676-1158
(2015) A new constrained total variational deblurring model and its fast algorithm. NUMERICAL ALGORITHMS, 69 (2). pp. 415-441.

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Although image intensities are non-negative quantities, imposing positivity is not always considered in restoration models due to a lack of simple and robust methods of imposing the constraint. This paper proposes a suitable exponential type transform and applies it to the commonly-used total variation model to achieve implicitly constrained solution (positivity at its lower bound and a prescribed intensity value at the upper bound). Further to establish convergence, a convex model is proposed through a relaxation of the transformed functional. Numerical algorithms are presented to solve the resulting non-linear partial differential equations. Test results show that the proposed method is competitive when compared with existing methods in simple cases and more superior in other cases.

Item Type: Article
Uncontrolled Keywords: Total variation, Image deblurring, Alternating direction method of multipliers, Box constraint, Transforms
Depositing User: Symplectic Admin
Date Deposited: 02 Sep 2015 09:44
Last Modified: 15 Dec 2022 11:54
DOI: 10.1007/s11075-014-9904-2
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/2023462