Some links between extremum spanning forests, watersheds and min-cuts

@article{Allne2010SomeLB,
  title={Some links between extremum spanning forests, watersheds and min-cuts},
  author={C{\'e}dric All{\`e}ne and Jean-Yves Audibert and Michel Couprie and Renaud Keriven},
  journal={Image Vision Comput.},
  year={2010},
  volume={28},
  pages={1460-1471}
}
Minimum cuts, extremum spanning forests and watersheds have been used as the basis for powerful image segmentation procedures. In this paper, we present some results about the links which exist between these different approaches. Especially, we show that extremum spanning forests are particular cases of watersheds from arbitrary markers and that min-cuts coincide with extremum spanning forests for some particular weight functions. 
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