A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation
type: Item
instance of: scholarly article
title: A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation
zbMATH Open document ID: 1328.65214
DOI: 10.1137/15M101405X
author: Jessica Bosch
author: Martin Stoll
published in: SIAM Journal on Imaging Sciences
publication date: 2015-11-25T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 82C26
zbMATH DE Number: 6513510
zbMATH Keywords: image inpainting
zbMATH Keywords: gray value images
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: vector-valued problems
zbMATH Keywords: fractional calculus
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Fourier spectral methods
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
cites work: Inpainting of Binary Images Using the Cahn–Hilliard Equation
cites work: Diffuse Interface Models on Graphs for Classification of High Dimensional Data
cites work: Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method
cites work: Preconditioning for Vector-Valued Cahn--Hilliard Equations
cites work: Fast solvers for Cahn-Hilliard inpainting
cites work: Fourier spectral methods for fractional-in-space reaction-diffusion equations
cites work: Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Euler's Elastica and Curvature-Based Inpainting
cites work: Variational restoration of nonflat image features: Models and algorithms
cites work: Mathematical models for local nontexture inpaintings
cites work: Image Processing and Analysis
cites work: A Cahn-Hilliard system with a fidelity term for color image inpainting
cites work: On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms
cites work: Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
cites work: Q3034912
cites work: The Global Dynamics of Discrete Semilinear Parabolic Equations
cites work: Digital inpainting based on the Mumford–Shah–Euler image model
cites work: Systems of Cahn–Hilliard Equations
cites work: Robust smoothing of gridded data in one and higher dimensions with missing values
cites work: Diffuse interface methods for multiclass segmentation of high-dimensional data
cites work: On anisotropic order parameter models for multi-phase systems and their sharp interface limits
cites work: Fractional Tikhonov regularization for linear discrete ill-posed problems
cites work: Q3421758
cites work: Regularization by fractional filter methods and data smoothing
cites work: An MBO scheme on graphs for classification and image processing
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: A PDE approach to fractional diffusion in general domains: a priori error analysis
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Partial differential equations in action. From modelling to theory
cites work: Q3141895
cites work: Unconditionally stable schemes for higher order inpainting
cites work: Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: Efficient CT metal artifact reduction based on fractional-order curvature diffusion
cites work: Nonparametric Bayesian Dictionary Learning for Analysis of Noisy and Incomplete Images
full work available at URL: 15m101405x
OpenAlex ID: W1757367103
description: scientific article