Some Nonlocal Variational Models Along with Their Fast Algorithms

Models based on local operators can't preserve texture information. Nonlocal models can be used for many image processing tasks. A main advantage of nonlocal models over classical PDE-based algorithms is the ability to handle textures and repetitive structures. Some nonlocal models along with their Split Bregman algorithms are proposed for image denoising, image inpainting, and image segmentation in this paper. Finally, numerical experiments are shown to validate the efficiency and effectiveness of the proposed models.