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Alma universitas studiorum parmensis A.D. 962 - Università di Parma Alma universitas studiorum parmensis A.D. 962 - Università di Parma
Department of
Mathematical, Physical and Computer Sciences
Università degli Studi di Parma

Mercoledì 10 gennaio ore 15 seminario prof. Antonin CHAMBOLLE "On the jump set of minimizers of Total-Variation based regularization problems"

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Mercoledì 10 gennaio, alle ore 15:00, nell'Aula C del Plesso di Matematica e Informatica, il Prof. Antonin CHAMBOLLE (CEREMADE - Paris) terrà un seminario dal titolo

On the jump set of minimizers of Total-Variation based regularization problems

Abstract. In this joint work with M. Lasica (Warsaw) we revisit old results on the localization of
the jump set of minimizer of the “Rudin-Osher-Fatemi” functional, that is, the total variation plus a
quadratic penalization. We give more natural and simpler proof of the fact that the jump set of the
solution is contained in the jump set of the data, and characterize the total-variation type
functionals, in both scalar and vectorial settings, for which the result holds true. We also consider
higher order regularizing functionals, for which some partial results hold.

Organizzatore: prof. Giampiero Palatucci

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