22 citations · 23 across the 8 of their papers we have counts for
9 papers
Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation
Jean-François Babadjian, Blanche Buet, Michael Goldman
This paper studies the effect of anisotropy on sharp or diffuse interfaces models. When the surface tension is a convex function of the normal to the interface, the anisotropy is s…
Approximate mean curvature flows of a general varifold, and their limit spacetime Brakke flow
Blanche Buet, Gian Paolo Leonardi, Simon Masnou +1
We propose a construction of mean curvature flows by approximation for very general initial data, in the spirit of the works of Brakke and of Kim & Tonegawa based on the theory of…
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…
Mean curvature motion of point cloud varifolds
Blanche Buet, Martin Rumpf
This paper investigates a discretization scheme for mean curvature motion on point cloud varifolds with particular emphasis on singular evolutions. To define the varifold a local c…
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…
Recovering measures from approximate values on balls
Blanche Buet, Gian Paolo Leonardi
In a metric space we reconstruct an approximation of a Borel measure starting from a premeasure defined on the collection of closed balls, and such that approxi…
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…