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L’IRIT étant localisé sur plusieurs sites, ses séminaires sont organisés et ont lieu soit à l’Université Toulouse 3 Paul Sabatier (UT3), l’Université Toulouse 1 Capitole (UT1), l’INP-ENSEEIHT ou l’Université Toulouse 2 Jean Jaurès (UT2J).


Optimal image denoising modelling via PDE-constrained optimisation

Luca CALATRONI - Ecole Polytechnique Paris Saclay (France)

Jeudi 20 Avril 2017, 14h00 - 15h30
ENSEEIHT, salle A001
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Variational methods and Partial Differential Equations (PDEs) have been extensively employed for the mathematical formulation of a myriad of problems describing physical phenomena such as heat propagation, thermodynamic transformations and many more. In imaging, PDEs following variational principles are often considered. In their general form, these models combine a regularisation and a data fitting term, where one is balance against the other in terms of appropriate weights. Typically, Total Variation (TV) regularisation models and its higher-order extensions are used due to their edge-preserving and smoothing properties. In this talk, we will focus on the use of a non-smooth bilevel optimisation approach with PDE constraints in the context of optimal model selection for multiple and not necessarily Gaussian image denoising models. This is joint work with Carola-Bibiane Schoenlieb (Cambridge, UK) and Prof. Juan Carlos De Los Reyes (Quito, Ecuador).