Learning complete lattices for manifold mathematical morphology

Olivier Lezoray (1) , Christophe Charrier (1) , Abderrahim Elmoataz (1)

1 Equipe Image - Laboratoire GREYC - UMR6072

The extension of lattice based operators to manifolds is still a challenging theme in mathematical morphology. In this paper, we propose to explicitly construct complete lattices and replace each element of a manifold by its rank suitable for classical morphological processing. Manifold learning is considered as the basis for the construction of a complete lattice.

Mots clés: Manifold Learning; Complete Lattice

Domaines: Traitement des images [eess.IV]

Olivier Lezoray, Christophe Charrier, Abderrahim Elmoataz. Learning complete lattices for manifold mathematical morphology. International Symposium on Mathematical Morphology, 2009, Groningen, Netherlands. pp.1-4. ⟨hal-00403941⟩