Nonlocal processing of 3D colored point clouds

In this paper we present a methodology for nonlocal processing of 3D colored point clouds using regularization of functions defined on weighted graphs. To adapt it to nonlocal processing of 3D data, a new definition of patches for 3D point clouds is introduced and used for nonlocal filtering of 3D data such as colored point clouds. Results illustrate the benefits of our nonlocal approach to filter noisy 3D colored point clouds (either on spatial or colorimetric information).