3 citations · 3 across the 4 of their papers we have counts for
4 papers
Sub--Riemannian boundary value problems for Optimal Geometric Locomotion
Oliver Gross, Florine Hartwig, Martin Rumpf +1
We propose a geometric model for optimal shape-change-induced motions of slender locomotors, e.g., snakes slithering on sand. In these scenarios, the motion of a body in world coor…
Geodesic Calculus on Implicitly Defined Latent Manifolds
Florine Hartwig, Josua Sassen, Juliane Braunsmann +2
Latent manifolds of autoencoders provide low-dimensional representations of data, which can be studied from a geometric perspective. We propose to describe these latent manifolds a…
Discrete Geodesic Calculus in the Space of Sobolev Curves
Sascha Beutler, Florine Hartwig, Martin Rumpf +1
The Riemannian manifold of curves with a Sobolev metric is an important and frequently studied model in the theory of shape spaces. Various numerical approaches have been proposed…
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Samuel Weidemaier, Florine Hartwig, Josua Sassen +3
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation w…