386 citations · 686 across the 16 of their papers we have counts for
3 papers · 1 filter
Discrete Morse Functions and Watersheds
Gilles Bertrand, Nicolas Boutry, Laurent Najman
Any watershed, when defined on a stack on a normal pseudomanifold of dimension d, is a pure (d -- 1)-subcomplex that satisfies a drop-of-water principle. In this paper, we introduc…
A Proof of the Tree of Shapes in n-D
Thierry GÉraud, Nicolas Boutry, Sébastien Crozet +2
In this paper, we prove that the self-dual morphological hierarchical structure computed on a n-D gray-level wellcomposed image u by the algorithm of G{é}raud et al. [1] is exactly…
Gradient Vector Fields of Discrete Morse Functions and Watershed-cuts
Nicolas Boutry, Gilles Bertrand, Laurent Najman
In this paper, we study a class of discrete Morse functions, coming from Discrete Morse Theory, that are equivalent to a class of simplicial stacks, coming from Mathematical Morpho…