Title: Optimal image denoising modelling via PDE-constrained optimisation
21 March 2017, 11h00, room Y506 (Byron building)
Abstract: 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, balancing one
against the other appropriately. Typically, Total Variation (TV) models and their 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 optimisation approach with PDE constraints in the context of model selection for some image denoising problems. This is joint work with Carola-Bibane Schönlieb (Cambridge, UK) and Juan Carlos De Los Reyes (Quito, Ecuador).