Non-local Regularization of Inverse Problems

This article proposes a new framework to regularize linear inverse problems using the total variation on non-local graphs. This nonlocal graph allows to adapt the penalization to the geometry of the underlying function to recover. A fast algorithm computes iteratively both the solution of the regularization process and the non-local graph adapted to this solution. We show numerical applications of this method to the resolution of image processing inverse problems such as inpainting, super-resolution and compressive sampling.

• Type: Conference
• Year: 2008
• Where: ECCV
• Authors: Gabriel Peyré, Laurent D. Cohen, Sébastien Bougleux
• Keywords: Computer Vision, ECCV 2008, Linear Inverse Problems, Non-local Graph, Non-local Graphs, Nonlocal Graph, Processing Inverse Problems