A Stable Method Solving the Total Variation Dictionary Model with L-infinity Constraints - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2013

A Stable Method Solving the Total Variation Dictionary Model with L-infinity Constraints

Résumé

Image restoration plays an important role in image processing, and numerous approaches have been proposed to tackle this problem. This paper presents a modified model for image restoration, that is based on a combination of Total Variation (TV) and Dictionary approaches. Since the well-known TV regularization is non-differentiable, the proposed method utilizes its dual formulation instead of its approximation in order to exactly preserve its properties. The data-fidelity term combines the one commonly used in image restoration and a wavelet thresholding based term. Then, the resulting optimization problem is solved via a first-order primal-dual algorithm. Numerical experiments demonstrate the good performance of the proposed model. In a last variant, we replace the classical TV by the nonlocal TV regularization, which results in a much higher quality of restoration.
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Dates et versions

hal-00826615 , version 1 (27-05-2013)
hal-00826615 , version 2 (30-12-2014)

Identifiants

  • HAL Id : hal-00826615 , version 1

Citer

Liyan Ma, Lionel Moisan, Jian Yu, Tieyong Zeng. A Stable Method Solving the Total Variation Dictionary Model with L-infinity Constraints. 2013. ⟨hal-00826615v1⟩
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