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cs.DM2023
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…
cs.DM2022
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…