An Anisotropic Inf-Convolution BV type model for dynamic reconstruction.

Maïtine Bergounioux (1) , E Papoutsellis (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We are interested in a spatial-temporal variational model for image sequences. The model involves a fitting data term to be adapted to different modalities such as denoising, deblurring or emission tomography. The regularizing term acts as an infimal-convolution type operator that takes into account the respective influence of space and time variables in a separate mode. We give existence and uniqueness results and provide optimality conditions via duality analysis.

Mots clés: Spatio-temporal Variational Regularization; Infimal Convolution Total Variation; Anisotropic Total variation

Domaines: Optimisation et contrôle [math.OC]; Analyse fonctionnelle [math.FA]; Imagerie médicale

Maïtine Bergounioux, E Papoutsellis. An Anisotropic Inf-Convolution BV type model for dynamic reconstruction. . SIAM Journal on Imaging Sciences, 2018. ⟨hal-01401408v3⟩