On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual $$ H^{1}$$ Penalty Model for Image Restoration

DOI10.1007/978-3-319-46310-0_15zbMath1371.35164OpenAlexW2581907158MaRDI QIDQ5268915

Thomas Wunderli

Publication date: 21 June 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-46310-0_15

zbMATH Keywords

bounded variationanisotropic diffusionimage restorationgradient flowsdual of \(H^{1}\)

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Cites Work

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• Nonlinear total variation based noise removal algorithms
• The total variation flow in \(\mathbb R^N\)
• \(G\)-norm properties of bounded variation regularization
• Convex analysis and nonlinear optimization. Theory and examples.
• On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions
• Elastic plastic deformation
• Convex functionals and partial regularity
• Functionals with linear growth defined on vector valued BV functions
• An evolution problem for plastic antiplanar shear
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• Image recovery via total variation minimization and related problems
• Modeling textures with total variation minimization and oscillating patterns in image processing
• Parabolic quasilinear equations minimizing linear growth functionals
• Multiple solutions of hemivariational inequalities with area-type term
• Some qualitative properties for the total variation flow
• Minimizing total variation flow
• Adaptive total variation for image restoration in BV space
• Lower semicontinuity problems in Sobolev spaces with respect to a measure
• A first-order primal-dual algorithm for convex problems with applications to imaging
• A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
• Total Variation Regularization for Image Denoising, II. Examples
• Total Variation Regularization for Image Denoising, III. Examples.
• Total Variation Regularization for Image Denoising, I. Geometric Theory
• The Euler Equation for Functionals with Linear Growth
• Digital filters as absolute norm regularizers
• Image Decomposition and Restoration Using Total Variation Minimization and theH¹
• Decomposition of images by the anisotropic Rudin-Osher-Fatemi model
• Recovery of Blocky Images from Noisy and Blurred Data
• Partial Differential Equations with Variable Exponents
• THE MINIMIZING TOTAL VARIATION FLOW WITH MEASURE INITIAL CONDITIONS
• Aspects of Total Variation RegularizedL¹Function Approximation
• Variable Exponent, Linear Growth Functionals in Image Restoration
• The Dirichlet problem for the total variation flow
• A study in the BV space of a denoising-deblurring variational problem

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