graph Laplacian regularization, graph signal processing, image denoising
Image denoising is an important image processing task, both as a process itself, and as a component in other processes. Very many ways to denoise an image or a set of data exists. The main properties of a good image denoising model are that it will remove noise while preserving edges. Removing impulse noise from images is a critical issue in image processing because it may occur frequently during acquisition or transmission of images. So it is necessary to find the techniques for the mechanisms and implications of imposing the graph Laplacian regularizer on the original inverse problem.