Linear filtering and mathematical morphology on an image: A bridge

Kevin Loquin (1, 2) , Olivier Strauss (3)

1 LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
2 IRIT - Institut de recherche en informatique de Toulouse
3 ICAR - Image & Interaction

In this paper, we propose to show that a particular fuzzy extension of mathematical morphology coincides with a non-additive extension of linear filtering based on convolution kernels thus bridging the two approaches.

Mots clés: Linear filtering; Morphology; Extension

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

Kevin Loquin, Olivier Strauss. Linear filtering and mathematical morphology on an image: A bridge. ICIP: International Conference on Image Processing, Nov 2009, Cairo, Egypt. pp.3965-3968, ⟨10.1109/ICIP.2009.5413800⟩. ⟨hal-00443870⟩