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

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.

Automated summary

A fourth-order PDE model based on the mixture of Perona-Malik equation and Cahn-Hilliard equation is proposed for image inpainting in this paper. By using the idea of energy splitting, a numerical scheme is introduced for solving the proposed PDE model. Numerical experiments demonstrate that the proposed model outperforms classical PDE based inpainting models in terms of inpainting performance and computational time efficiency.