Intensity discontinuity and high computational complexity are drawbacks in some existing methods of image inpainting. To tackle these problems, a method based on PDE model(Isophote-TV-H^-1 model) and improved Criminisi algorithm is proposed in this paper. Firstly, the damaged image is decomposed into cartoon and texture with the TV-H^-1 model. Secondly, the Isophote-TV-H^-1 model and the improved Criminisi algorithm are used to recover the cartoon and texture of the damaged image, respectively. Finally the recovered texture is superimposed on the recovered cartoon to get the result image. The experimental results demonstrate that the proposed model recovers the texture of the damaged region better than the TV model. Comparing with Criminisi algorithm, the proposed model suppresses the error propagation through improving the similarity measurement method, as well as improves the efficiency by employing the local search.