改进的TV-Stokes图像修复模型及其算法

摘要

In this paper, an improved TV-Stokes image inpainting model is proposed based on the study of image inpainting. By analysing the properties of new model, an efficient and fast numerical algorithm is introduced. There are two variables in the new model, so it is firstly turned into two simple submodels by using alternating iteration method in the new algorithm, and then the two subproblems are solved using dual formulation and split Bregman method respectively. Experimental results show the new algorithm can not only get the better inpainting effect, but also improve the inpainting speed.%该文在研究图像修复的基础上,提出了一种改进的TV-Stokes图像修复模型.通过分析新模型的性质,给出一种高效且快速的数值算法.由于新模型耦合了两个变量,因此新算法首先采用交替迭代策略化原问题为两个去耦的次问题,然后再对两个次问题分别利用对偶方法和分裂Bregman方法进行数值求解.实验结果表明该文所提出的算法不但修复图像的效果较好,而且修复的速度较快.