Before revision:  In the experimental part, we use CNN denoisers and the Total Variation functional specifying external and internal priors, respectively. We prove the effectiveness of the proposed method in restoring blurred noisy  images, both in simulated and real medical settings  .
After revision:  In the experimental part, we use CNN denoisers and the Total Variation functional . The external denoiser is implemented by a deep Convolutional Neural Network (CNN) trained on the gradient domain (and not on the image one, as in state-of-the-art works). We also prove a general fixed-point convergence theorem under weak assumptions on both internal and external denoisers. The experiments confirm the effectiveness of the proposed method in restoring blurred noisy images, both in simulated and real medical settings .