386 citations · 686 across the 16 of their papers we have counts for
5 papers · 1 filter
BuyTheDips: PathLoss for improved topology-preserving deep learning-based image segmentation
Minh On Vu Ngoc, Yizi Chen, Nicolas Boutry +2
Capturing the global topology of an image is essential for proposing an accurate segmentation of its domain. However, most of existing segmentation methods do not preserve the init…
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…
Some equivalence relation between persistent homology and morphological dynamics
Nicolas Boutry, Laurent Najman, Thierry Géraud
In Mathematical Morphology (MM), connected filters based on dynamics are used to filter the extrema of an image. Similarly, persistence is a concept coming from Persistent Homology…
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…
Local Intensity Order Transformation for Robust Curvilinear Object Segmentation
Tianyi Shi, Nicolas Boutry, Yongchao Xu +1
Segmentation of curvilinear structures is important in many applications, such as retinal blood vessel segmentation for early detection of vessel diseases and pavement crack segmen…