An anisotropic PDE model for image inpainting

A PDE model based on an image specific auto generated multi-well potential function and a 4th order anisotropic diffusion with good performance with respect to loss due to smoothing effects has been proposed for grayscale image inpainting. An unconditionally stable numerical scheme using the notion...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 79; no. 9; pp. 2701 - 2721
Main Authors Halim, Abdul, Kumar, B.V. Rathish
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.05.2020
Elsevier BV
Subjects
4th-order PDE
Cahn-Hilliard equation
Convexity
Convexity splitting
Fidelity term
Image analysis
Inpainting
Mathematical models
Spectral methods
Cahn-Hilliard equation
Convexity splitting
Inpainting
4th-order PDE
Fidelity term
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Summary:A PDE model based on an image specific auto generated multi-well potential function and a 4th order anisotropic diffusion with good performance with respect to loss due to smoothing effects has been proposed for grayscale image inpainting. An unconditionally stable numerical scheme using the notion of convexity splitting in time and Fourier spectral method in space has been derived. The stable scheme is both consistent and convergent. Numerical computations are done for some standard test images and results are compared with the results of other existing models in the literature using image analysis specs such as PSNR, SNR, and SSIM.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2019.12.002