Properties of combinations of hierarchical watersheds

Deise Santana Maia (1) , Jean Cousty (1) , Laurent Najman (1) , Benjamin Perret (2)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection

In [12], the authors provide an evaluation of combinations of hierarchical watersheds, showing that some combinations outperform individual hierarchical watersheds. In this article, we aim to achieve a deeper understanding of those combinations. We study which of the four combinations evaluated in [12] always result in flattened (simplified) hierarchical watersheds. Then, we provide a sufficient condition for a combination to always output flattened hierarchical watersheds, and a new combining function that outputs flattened hierarchical watersheds. We conclude that, among the combinations assessed in [12], only a particular case of combinations with infimum always result in flattened hierarchical watersheds.

Domaines: Traitement des images [eess.IV]

Deise Santana Maia, Jean Cousty, Laurent Najman, Benjamin Perret. Properties of combinations of hierarchical watersheds. 2019. ⟨hal-02175824v1⟩