A well-posedness framework for inpainting based on coherence transport

DOI10.1007/s10208-014-9199-7zbMath1336.35351OpenAlexW1973923922MaRDI QIDQ896554

Thomas März

Publication date: 10 December 2015

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:e095c82b-3358-43be-8e39-d2e419734dca

zbMATH Keywords

well-posednessLyapunov functionsmethod of characteristicsfixed-point theoryfunctions of bounded variationsfunctional PDEsimage impainting

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Fixed-point theorems (47H10) Partial functional-differential equations (35R10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Weak solutions to PDEs (35D30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Boundary value problems for linear first-order PDEs (35F15) Software, source code, etc. for problems pertaining to partial differential equations (35-04) PDEs in connection with computer science (35Q68)

Related Items (5)

Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them ⋮ A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data ⋮ Model-based reconstruction for magnetic particle imaging in 2D and 3D ⋮ Guidefill: GPU Accelerated, Artist Guided Geometric Inpainting for 3D Conversion of Film ⋮ inpaintBCT

Uses Software

• Matlab
• GitHub
• PatchMatch

Cites Work

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• Fast image inpainting based on coherence transport
• Norms for the characterisation of weak*-convergence of bounded sequences
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Infinite dimensional analysis. A hitchhiker's guide
• Fast anisotropic smoothing of multi-valued images using curvature-preserving PDE's
• Image Inpainting Based on Coherence Transport with Adapted Distance Functions
• Geometrically Guided Exemplar-Based Inpainting
• Nonlocal Operators with Applications to Image Processing
• Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
• Inpainting of Binary Images Using the Cahn–Hilliard Equation
• Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
• An axiomatic approach to image interpolation
• Euler's Elastica and Curvature-Based Inpainting
• Image Processing and Analysis

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