Discrete formulations of the weighted Total Variation (TV) based on upwind schemes have been proposed for imaging problems in a local setting by Chambolle et al. in 2011 and in a non-local setting for graphs by Elmoataz et al. in 2008. Two new graph-based upwind and symmetric formulations expressed with the euclidean and infinite norms respectively are proposed. Theoretical and practical interest of such formulations is demonstrated in image and point cloud processing applications.

This presentation is part of Minisymposium “MS78 - Recent developments in variational image modeling”
organized by: Sonia Tabti (Université de Caen, CNRS) , Rabin Julien (CNRS, Normandie Univ.) .

Authors:

Sonia Tabti (Université de Caen, CNRS)

Rabin Julien (CNRS, Normandie Univ.)

Abderrahim Elmoataz (University of Caen Normandie, CNRS)

Keywords:

inverse problems, isotropy preservation, signal processing on graphs, weighted total variation