3D COLORED MESH STRUCTURE-PRESERVING FILTERING WITH ADAPTIVE P-LAPLACIAN ON DIRECTED GRAPHS

Sébastien Bougleux (1) , Olivier Lézoray (1) , Anass Nouri (2)

1 Equipe Image - Laboratoire GREYC - UMR6072
2 L@BISEN - Laboratoire ISEN

Editing of 3D colored meshes represents a fundamental component of nowadays computer vision and computer graphics applications. In this paper, we propose a framework based on the p-laplacian on directed graphs for structure-preserving filtering. This relies on a novel objective function composed of a fitting term, a smoothness term with a spatially-variant pTV norm, and a structure-preserving term. The last two terms can be related to formulations of the p-Laplacian on directed graphs. This enables to impose different forms of processing onto different graph areas for better smoothing quality.

Mots clés: graph signal; structure preserving filtering; p-Laplacian; 3D colored meshes

Domaines: Traitement des images [eess.IV]

Sébastien Bougleux, Olivier Lézoray, Anass Nouri. 3D COLORED MESH STRUCTURE-PRESERVING FILTERING WITH ADAPTIVE P-LAPLACIAN ON DIRECTED GRAPHS. 26th IEEE International Conference on Image Processing (ICIP 2019), Sep 2019, Taipei, Taiwan. ⟨10.1109/ICIP.2019.8803642⟩. ⟨hal-02297223⟩