107 citations · 416 across the 27 of their papers we have counts for
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cs.CG2007★ 4 cited
Towards Persistence-Based Reconstruction in Euclidean Spaces
Frédéric Chazal, Steve Oudot
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recently, significant improvements were made in higher dimen…
cs.CG2007★ 38 cited
Stability of boundary measures
Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot
We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures ca…