Fast Solvers for Cahn--Hilliard Inpainting

DOI10.1137/130921842zbMath1298.68284OpenAlexW2099190740MaRDI QIDQ2876798

Jessica Bosch, Martin Stoll, David Kay, Andrew J. Wathen

Publication date: 20 August 2014

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

Full work available at URL: https://semanticscholar.org/paper/b35daef1888e194e24864a7983cda16a5b7ffda7

zbMATH Keywords

preconditioningCahn-Hilliard equationimage inpaintingSchur complement approximationbinary images

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Computing methodologies for image processing (68U10) Control/observation systems governed by partial differential equations (93C20) Nonlinear parabolic equations (35K55) Finite element methods applied to problems in solid mechanics (74S05) Stefan problems, phase changes, etc. (80A22) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (23)

A Cahn-Hilliard system with a fidelity term for color image inpainting ⋮ A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation ⋮ Fast multilevel solvers for a class of discrete fourth order parabolic problems ⋮ Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements ⋮ Computationally efficient approach for the minimization of volume constrained vector-valued Ginzburg-Landau energy functional ⋮ Preconditioning for Vector-Valued Cahn--Hilliard Equations ⋮ Computationally efficient adaptive time step method for the Cahn-Hilliard equation ⋮ A Preconditioner for the Ohta--Kawasaki Equation ⋮ A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting ⋮ An efficient and explicit local image inpainting method using the Allen-Cahn equation ⋮ Solver Composition Across the PDE/Linear Algebra Barrier ⋮ Asymptotic behavior of a generalized Cahn–Hilliard equation with a mass source ⋮ Matching Schur Complement Approximations for Certain Saddle-Point Systems ⋮ Generalizing Diffuse Interface Methods on Graphs: Nonsmooth Potentials and Hypergraphs ⋮ Fast image inpainting strategy based on the space-fractional modified Cahn-Hilliard equations ⋮ Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes System ⋮ A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns ⋮ A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting ⋮ Motivations and realizations of Krylov subspace methods for large sparse linear systems ⋮ A multiscale fourth‐order model for the image inpainting and low‐dimensional sets recovery ⋮ Cahn--Hilliard Inpainting with the Double Obstacle Potential ⋮ Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source ⋮ Shock filter as the classifier for image inpainting problem using the Cahn-Hilliard equation

This page was built for publication: Fast Solvers for Cahn--Hilliard Inpainting