Before revision:  framework, decoupling the contribution of the DIP L_{2 . The promising performances of the proposed approach, in terms of PSNR and SSIM values, are addressed by means of experiments for different image restoration tasks on synthetic as well as on real data .
After revision:  . Furthermore, we provide a specific implementation also for the standard isotropic Total Variation . The promising performances of the proposed approach, in terms of PSNR and SSIM values, are addressed by means of experiments for different image restoration tasks on synthetic as well as on real data .