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A new relaxation method for a discrete image restoration problem

Abstract : The method we present in this paper has been motivated by a restoration problem in a tomography context. We are interested in blurred and noised binary images restoration. We consider the discrete version of a minimization problem settled in the space of bounded variation functions. We give a general ''abstract'' formulation of the (discrete) optimization problem with binary constraints and provide approximate and penalized formulations. Convergence results are given and we present numerical tests.
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https://hal.archives-ouvertes.fr/hal-00345556
Contributor : Maïtine Bergounioux <>
Submitted on : Tuesday, June 9, 2009 - 7:28:20 PM
Last modification on : Tuesday, April 21, 2020 - 11:40:06 AM
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  • HAL Id : hal-00345556, version 2

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Maïtine Bergounioux, Mounir Haddou. A new relaxation method for a discrete image restoration problem. Journal of Convex Analysis, Heldermann, 2010, 17 (3), pp.421-435. ⟨hal-00345556v2⟩

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