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Properties of combinations of hierarchical watersheds

Abstract : 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.
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Deise Santana Maia, Jean Cousty, Laurent Najman, Benjamin Perret. Properties of combinations of hierarchical watersheds. Pattern Recognition Letters, Elsevier, 2019, 128, pp.513-520. ⟨10.1016/j.patrec.2019.10.009⟩. ⟨hal-02175824v2⟩

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