Due to the lossy transmission in the JPEG2000 image compression standard,the loss of wavelet coefficients heavily af-fects the quality of the received image.In this paper,we propose a novel wavelet inpainting model based on tensor diffusion(TDWI)to restore the missing or damaged wavelet coefficients.A hybrid model is built by combining structure-adaptive anisotropic regu-larization with wavelet representation.Its associated Euler-Lagrange equation is also given for analyzing its regularity performance.Owing to the matrix representation of the structure tensor in the regularization term,the shape of diffusion kernel changes adaptivelyaccording to the image features,including sharp edges,corners and homogeneous regions.Compared with existing wavelet inpaint-ing models,the proposed one can control more adaptively and accurately the geometric regularity in the image and exhibits betterrobustness to noise.In addition,an effective and proper numerical scheme is adopted to improve the computation.Experimentalresults on a variety of loss scenarios are given to demonstrate the advantages of our proposed model.
