Journal of Convex Analysis 31 (2024), No. 2, 671--688
Copyright Heldermann Verlag 2024
BMO-Type Functionals Related to the Total Variation and Connection to Denoising Models
Serena Guarino Lo Bianco
Dipartimento di Scienze F.I.M., Università degli Studi di Modena e Reggio Emilia, Modena, Italy
serena.guarinolobianco@unimore.it
Roberta Schiattarella
Dip. di Matematica e Applicazioni "R. Caccioppoli", Università di Napoli "Federico II", Napoli, Italy
roberta.schiattarella@unina.it
The purpose of this paper is to analyze the asymptotic behaviour in the spirit of Γ-convergence of BMO-type functionals related to the total variation of a function u. Moreover, we deal with a minimization problem coming from applications in image processing.
Keywords: Total variation, bounded variation, BMO, Gamma-convergence.
MSC: 49Q20, 49J45, 26B30, 26D10.
[ Fulltext-pdf (150 KB)] for subscribers only.