19 citations · 19 across the 3 of their papers we have counts for
3 papers
cs.CG2012
The monotonicity of f-vectors of random polytopes
Olivier Devillers, Marc Glisse, Xavier Goaoc +2
Let K be a compact convex body in Rd, let Kn be the convex hull of n points chosen uniformly and independently in K, and let fi(Kn) denote the number of i-dimensional faces of Kn.…
math.AT2012★ 19 cited
The structure and stability of persistence modules
Frederic Chazal, Vin de Silva, Marc Glisse +1
We give a self-contained treatment of the theory of persistence modules indexed over the real line. We give new proofs of the standard results. Persistence diagrams are constructed…
cs.CG2007
An Upper Bound on the Average Size of Silhouettes
Marc Glisse, Sylvain Lazard
It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides,…