Abstract:In order to preserve the geometric characteristics of image, a weighted wavelet variational inpainting model is proposed. The new model makes use of the advantages of weighted function that can improve the capacity for denoising in the smooth region and protect the edges in the edge region, so it can enhance the inpainting effect. To solve the proposed model effectively, it is firstly turned into two submodels using alternating direction method, then the corresponding theoretical derivation and algorithms are given. The numerical experiments show that the new model can not only get the better visual effect, but also obtain the higher Signal to Noise Ratio (SNR) than the recent total variation wavelet inpainting method.