2 papers
math.NA2020
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…
math.CA2019
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…