On the jump set of solutions of the total variation flow

DOI10.4171/RSMUP/130-5zbMath1284.49043MaRDI QIDQ2438316

Matteo Novaga, Vincent Caselles, Khalid Jalalzai

Publication date: 11 March 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

nonlinear parabolic equationsfunctions of bounded variationimage denoisingjump settotal variation flow

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Regularity of solutions in optimal control (49N60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (8)

Some remarks on the staircasing phenomenon in total variation-based image denoising ⋮ A local estimate for vectorial total variation minimization in one dimension ⋮ A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles ⋮ Local estimates for vectorial Rudin–Osher–Fatemi type problems in one dimension ⋮ Geometric properties of solutions to the total variation denoising problem ⋮ Approximating the total variation with finite differences or finite elements ⋮ Continuity results for TV-minimizers ⋮ The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities

Cites Work

• Regularity for solutions of the total variation denoising problem
• The total variation flow in \(\mathbb R^N\)
• Pairings between measures and bounded functions and compensated compactness
• Image recovery via total variation minimization and related problems
• A characterization of convex calibrable sets in \(\mathbb R^N\)
• Minimizing total variation flow
• The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
• Total Variation in Imaging
• The Dirichlet problem for the total variation flow
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the jump set of solutions of the total variation flow