BMO-Type Functionals Related to the Total Variation and Connection to Denoising Models

Serena Guarino Lo Bianco; Roberta Schiattarella

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Total variation
bounded variation
BMO
Gamma-convergence

Mathematics Subject Classification

49Q20, 49J45, 26B30, 26D10

Suggested citation

S. Guarino Lo Bianco, R. Schiattarella. “BMO-Type Functionals Related to the Total Variation and Connection to Denoising Models.” Journal of Convex Analysis 31 (2024), No. 2, 671–688.