Séminaire OrléansInfimal convolution regularisation functional of BV and Lp spaces
Evangelos Papoutsellis (MAPMO)
Thursday 17 March 2016 14:00 - Orléans - Salle de Séminaire
In this talk, we discuss a general class of first-order infimal convolution type regularisation functionals suitable for applications in image processing. It consists of a combination between the total variation (TV) semi-norm and the Lp norms. Besides the theoretical framework, we also provide a detailed study of the one dimensional model and examine how the choice of p affects the structure of the solution. In the final part of the talk, we discuss the case p=\infty where one recovers piecewise affine structures and can achieve similar results to high-order regularisers as the total generalised variation (TGV).