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.

中文翻译：

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基于Perona–Malik方程和Cahn–Hilliard方程混合的图像修复模型

本文提出了一种用于图像修复的四阶PDE模型。该模型基于Perona–Malik方程和Cahn–Hilliard方程的混合。利用能量分裂的思想，引入了数值方案来求解所提出的PDE模型。本文结尾提供了用于测试所提出模型的数值实验。数值结果表明，与传统的基于PDE的修复模型相比，所提出的模型能够以更少的计算时间提供更好的修复性能。