Higher-Order Total Directional Variation: Analysis

DOI10.1137/19M1239210zbMath1444.47020arXiv1812.05061OpenAlexW3013274015MaRDI QIDQ5108484

Simon Masnou, S. Parisotto, Carola-Bibiane Schönlieb

Publication date: 4 May 2020

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05061

zbMATH Keywords

variational modeltotal variation regularizationanisotropic total variationhigher-order total variationtotal directional variation

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Linear operators and ill-posed problems, regularization (47A52) Inverse problems in optimal control (49N45) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (9)

Regularization graphs—a unified framework for variational regularization of inverse problems ⋮ A new hybrid regularization scheme for removing salt and pepper noise ⋮ Bilevel Training Schemes in Imaging for Total Variation--Type Functionals with Convex Integrands ⋮ Bilevel Imaging Learning Problems as Mathematical Programs with Complementarity Constraints: Reformulation and Theory ⋮ Anisotropic variational models for image denoising based on directional Hessian ⋮ Sequential image recovery using joint hierarchical Bayesian learning ⋮ On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance ⋮ Higher-Order Total Directional Variation: Imaging Applications ⋮ Shared Prior Learning of Energy-Based Models for Image Reconstruction

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