22 citations · 23 across the 8 of their papers we have counts for
5 papers · 1 filter
A varifold-type estimation for data sampled on a rectifiable set
Charly Boricaud, Blanche Buet
We investigate the inference of varifold structures in a statistical framework: assuming that we have access to i.i.d. samples in obtained from an underlying --di…
Flagfolds: an approach to multi-dimensional varifolds
Blanche Buet, Xavier Pennec
By interpreting the product of the Principal Component Analysis, that is the covariance matrix, as a sequence of nested subspaces naturally coming with weights according to the lev…
Weak and approximate curvatures of a measure: a varifold perspective
Blanche Buet, Gian Paolo Leonardi, Simon Masnou
By revisiting the notion of generalized second fundamental form originally introduced by Hutchinson for a special class of integral varifolds, we define a weak curvature tensor tha…
A varifold approach to surface approximation
Blanche Buet, Gian Paolo Leonardi, Simon Masnou
We show that the theory of varifolds can be suitably enriched to open the way to applications in the field of discrete and computational geometry. Using appropriate regularizations…
Quantitative conditions of rectifiability for varifolds
Blanche Buet
Our purpose is to state quantitative conditions ensuring the rectifiability of a --varifold obtained as the limit of a sequence of --varifolds which need not to…