总变分修复算法在去除图像划痕和文本时需要较多迭代,对边缘细节信息的保持性不理想,并且存在阶梯效应,修复后的图像峰值信噪比较低。针对这些缺陷,提出了改进的算法,在原算法正则项中加入对数运算以及附加方向梯度算子,从而避免了阶梯效应,减少了迭代次数,降低了图像在边缘细节处的平滑力度。仿真结果证明,改进的算法减少了迭代次数,并且可以很好地保留图像的细节信息,所修复的图像具有很好的视觉效果。

The total variation image inpainting algorithm needs more iterations to remove the text and scratches. It is not ideal for the preservation of edge details, and has a staircase effect. The peak signal to noise ratio of the restored image is relatively low. Aiming at these defects, an improved algorithm is proposed. The logarithmic operation and additional directional gradient operator are added into the regular term of the original algorithm to avoid the staircase effect, reduce the number of iterations, and reduce the smoothing of image at edge details. Simulation results show that the improved algorithm reduces the number of iterations retains the details of the image, well and the restored image has good visual effect.