An image inpainting model based on the mixture of Perona-Malik equation and Cahn-Hilliard equation

DOI10.1007/s12190-020-01422-8zbMath1479.35238OpenAlexW3049135510MaRDI QIDQ2053195

Qing Zou

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-020-01422-8

zbMATH Keywords

Cahn-Hilliard equationPerona-Malik equationimage inpaintingFourier spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for higher-order parabolic equations (35K35) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for discrete and fast Fourier transforms (65T50) Initial value problems for nonlinear higher-order PDEs (35G25) Free boundary problems for PDEs (35R35)

Related Items (3)

An efficient and explicit local image inpainting method using the Allen-Cahn equation ⋮ Unnamed Item ⋮ Numerical simulation of a binary alloy of 2D Cahn-Hilliard model for phase separation

Cites Work

• Unnamed Item
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• Mathematical Models for Local Nontexture Inpaintings
• A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation
• Inpainting of Binary Images Using the Cahn–Hilliard Equation
• Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
• Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification
• Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data, and Inpainting
• Three-Dimensional Volume Reconstruction Using Two-Dimensional Parallel Slices

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