A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting
From MaRDI portal
Publication:5737763
DOI10.1137/15M1040177zbMath1377.35143OpenAlexW2600424323MaRDI QIDQ5737763
Laurence Cherfils, Alain Miranville, Hussein Fakih
Publication date: 30 May 2017
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1040177
well-posednessCahn-Hilliard equationsimulationsfinite-dimensional attractorsgrayscale image inpainting
Computing methodologies for image processing (68U10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)
Related Items (17)
Global attractor and exponential attractor for a parabolic system of Cahn-Hilliard with a proliferation term ⋮ On the Cahn-Hilliard equation with mass source for biological applications ⋮ Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities ⋮ Robust exponential attractors for the Cahn-Hilliard-Oono-Navier-Stokes system ⋮ On a Cahn–Hilliard–Oono model for image segmentation ⋮ Nonlocal Cahn-Hilliard type model for image inpainting ⋮ Unnamed Item ⋮ Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term ⋮ A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements ⋮ A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term ⋮ Image segmentation using the Cahn-Hilliard equation ⋮ Cahn--Hilliard Inpainting with the Double Obstacle Potential ⋮ Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source ⋮ Three-Dimensional Volume Reconstruction Using Two-Dimensional Parallel Slices ⋮ A linear fourth-order PDE-based gray-scale image inpainting model ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Multi-Phase Segmentation Using Modified Complex Cahn-Hilliard Equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Convective nonlocal Cahn-Hilliard equations with reaction terms
- A Cahn-Hilliard system with a fidelity term for color image inpainting
- On a generalized Cahn-Hilliard equation with biological applications
- Unconditionally stable schemes for higher order inpainting
- Wavelet analogue of the Ginzburg-Landau energy and its \(\Gamma \)-convergence
- The Cahn-Hilliard equation with logarithmic potentials
- Stable discretizations of the Cahn-Hilliard-Gurtin equations
- A numerical analysis of the Cahn-Hilliard equation with dynamic boundary conditions
- A second order splitting method for the Cahn-Hilliard equation
- A generalized diffusion model for growth and dispersal in a population
- Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions. I: Probability and wavelength estimate
- Infinite-dimensional dynamical systems in mechanics and physics.
- Segmentation with depth but without detecting junctions
- Thin liquid films on a slightly inclined heated plate
- \(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing.
- Upper bounds on coarsening rates
- Area-preserving curve-shortening flows: From phase separation to image processing
- Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions: Nonlinear dynamics
- Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting
- Fourth order partial differential equations on general geometries
- Mathematical Models for Local Nontexture Inpaintings
- A Generalized Cahn-Hilliard Equation with Logarithmic Potentials
- Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term
- Analysis of the Wavelet Ginzburg--Landau Energy in Image Applications with Edges
- Fast Solvers for Cahn--Hilliard Inpainting
- Some global dynamical properties of a class of pattern formation equations
- A SPLITTING METHOD FOR THE CAHN–HILLIARD EQUATION WITH INERTIAL TERM
- On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms
- A Cahn–Hilliard equation with a proliferation term for biological and chemical applications
- A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation
- Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- Mathematical Description of Microbial Biofilms
- Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
- Filling-in by joint interpolation of vector fields and gray levels
- Exponential attractors for a nonlinear reaction-diffusion system in
- Traveling Wave Solutions of Fourth Order PDEs for Image Processing
- Euler's Elastica and Curvature-Based Inpainting
- Digital inpainting based on the Mumford–Shah–Euler image model
- Exponential attractors for a singularly perturbed Cahn‐Hilliard system
- New development in freefem++
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
This page was built for publication: A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting
