BMO-type functionals related to the total variation and connection to denoising models

2024/03/01 by Serena Guarino Lo Bianco, Bianco, Serena Guarino Lo, Roberta Schiattarella +1
Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2403.00484

openalex publication_date 2024/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• BMO-type functionals, total variation, and Γ-convergence
• Non-local functionals related to the total variation and connections with Image Processing
• Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence
• Representation of the total variation as a Γ-limit of BMO-type seminorms
• Optimal rates for total variation denoising