Inpainting of Binary Images Using the Cahn–Hilliard Equation

Authors:
A. L. Bertozzi;S. Esedoglu;A. Gillette
Affiliations:
Math. Dept., California Univ., Los Angeles, CA;-;-
Venue:
IEEE Transactions on Image Processing
Year:
2007

Citing 0
Cited 11

An Image Inpainting Algorithm Based on Local Geometric Similarity

MMM '09 Proceedings of the 15th International Multimedia Modeling Conference on Advances in Multimedia Modeling
Extended Phase Field Higher-Order Active Contour Models for Networks

International Journal of Computer Vision
Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations

Journal of Scientific Computing
A nonconforming finite element method for the Cahn-Hilliard equation

Journal of Computational Physics
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery

SIAM Journal on Scientific Computing
Multigrid Algorithm for High Order Denoising

SIAM Journal on Imaging Sciences
Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem

Journal of Computational Physics
Statistical Density Estimation Using Threshold Dynamics for Geometric Motion

Journal of Scientific Computing
An efficient framework for image/video inpainting

Image Communication
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements

Journal of Computational Physics
The Shape Boltzmann Machine: A Strong Model of Object Shape

International Journal of Computer Vision

Quantified Score

Hi-index	0.03

Visualization

Abstract

Image inpainting is the filling in of missing or damaged regions of images using information from surrounding areas. We outline here the use of a model for binary inpainting based on the Cahn-Hilliard equation, which allows for fast, efficient inpainting of degraded text, as well as super-resolution of high contrast images