About a problem of definition of the geodesic erosion

Serge Beucher (1)

1 CMM - Centre de Morphologie Mathématique

This note (in French or translated in English) addresses a problem of definition of the geodesic erosion in the numerical case. It shows that the binary geodesic erosion does not correspond to the definition currently used in the numerical case. It also defines a new numerical geodesic erosion which really extends the binary operator. Update (october 2011): two annexes have been added, the first one describing all the new geodesic elementary operators and the second one containing the sources of these new operators for the MAMBA library (these operators are available in the current version 1.1.1).

Domaines: Traitement des images [eess.IV]

Serge Beucher. About a problem of definition of the geodesic erosion. 2011. ⟨hal-00835021⟩