Abstract:TV (Total Variation) model is used for image inpainting without taking the direction of damaged areas into account,while its slow convergent rate and low inpainting quality are either not as good as expected.To handle these problems,Additional Direction Total Variation (ADTV) algorithm is proposed,which aims at the strip damaged areas with obvious direction characteristic in the image.In this algorithm,discrete formats of TV model are improved in corresponding four directions (0°,45°,90°,135°).The damaged areas will be inpainted in the four types by judging their directions.The experimental results show that the method makes full use of the direction information of the strip damaged areas,and effectively improves the inpainting quality.Finally,in order to improve the efficiency of inpainting,Net-TV algorithm and Net-ADTV algorithm are proposed by combining net function interpolation with TV model and ADTV algorithm respectively.The experimental results show that the combined algorithm not only effectively reduces the number of iterations and time cost,speeds up the convergence rate,but also improves the quality of image inpainting.