Some morphological operators on simplicial complex spaces

Fabio Dias (1) , Jean Cousty (1) , Laurent Najman (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

In this work, we propose a framework that allows to build morphological operators for processing and ltering objects de ned on (abstract) simplicial complex spaces. We illustrate with applications to mesh and image processing, for which, on the provided examples, the proposed approach outperforms the classical one.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Fabio Dias, Jean Cousty, Laurent Najman. Some morphological operators on simplicial complex spaces. Discrete geometry for computer imagery (DGCI'11), Apr 2011, Nancy, France. pp.441--452, ⟨10.1007/978-3-642-19867-0_37⟩. ⟨hal-00730470⟩