120 citations · 148 across the 18 of their papers we have counts for
3 papers · 1 filter
Manifolds of positive reach, differentiability, tangent variation, and attaining the reach
André Lieutier, Mathijs Wintraecken
This paper contains three main results. Firstly, we give an elementary proof of the following statement: Let be a (closed, in both the geometrical and topological sense of the…
A free lunch: manifolds of positive reach can be smoothed without decreasing the reach
Hana Dal Poz Kouřimská, André Lieutier, Mathijs Wintraecken
Assumptions on the reach are crucial for ensuring the correctness of many geometric and topological algorithms, including triangulation, manifold reconstruction and learning, homot…
Quasi-optimal interpolation of gradients and vector-fields on protected Delaunay meshes in
David M. Williams, Mathijs Wintraecken
There are very few mathematical results governing the interpolation of functions or their gradients on Delaunay meshes in more than two dimensions. Unfortunately, the standard tech…