Abstract
In this paper, a fourth-order PDE model is proposed for image inpainting. This model is based on the mixture of Perona–Malik equation and Cahn–Hilliard equation. Using the idea of energy splitting, a numerical scheme is introduced for solving the proposed PDE model. Numerical experiments for testing the proposed model are provided at the end of the paper. The numerical results indicate that the proposed model can provide better inpainting performance with less computational time comparing to the classical PDE based inpainting models.
Original language | English (US) |
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Pages (from-to) | 21-38 |
Number of pages | 18 |
Journal | Journal of Applied Mathematics and Computing |
Volume | 66 |
Issue number | 1-2 |
DOIs | |
State | Published - Jun 2021 |
Externally published | Yes |
Keywords
- Cahn–Hilliard equation
- Fourier spectral method
- Image inpainting
- Perona–Malik equation
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics