关键词: 图像修补, 总变分模型, 高阶模型, 罚方法, 交替极小化算法

Abstract: Image inpainting is an important subject in the study of image restoration. In allusion to the staircase effect in the process of total variational model in restoring image, this paper introduces the high-order Partial Differential Equation（PDE） into the image inpainting, then uses the penalty method and the alternating minimization algorithm to solve it. Simulation experiments and result analysis show the effectiveness and superiority of the proposed model and algorithm.

Key words: image inpainting, total variation model, high-order model, penalty method, alternating minimization algorithm