中文摘要：

TV模型的数值实现方法是从局部扩散的角度出发，结合梯度下降法，充分利用了图像待修复像素点周围的信息计算梯度模值，与传统近似求解方法不同，该数值近似计算方法不仅对噪声的鲁棒性好，而且保证了在旋转kπ／4时梯度模值不变．实验表明，该数值实现方法在取得更好的视觉效果的同时获得了较高的运算效率．

英文摘要：

A new numerical method of image inpainting had been proposed in the present study. According to local diffusion, the new method of image inpainting was combined with gradient descent method, by using fully information of around damaged pixel to calculate gradient modulus to repair pixel. The proposed algorithm not only used more points in the approximations welll for rotation - invariance properties, also practically. The result was less sensitive to noise too. Experimental results showed that the proposed method achieved better inpainting effect and improved inpalnting efficiency.