5 papers · 1 filter
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…
On Material Optimisation for Nonlinearly Elastic Plates and Shells
Peter Hornung, Martin Rumpf, Stefan Simon
This paper investigates the optimal distribution of hard and soft material on elastic plates. In the class of isometric deformations stationary points of a Kirchhoff plate function…
Consistent Curvature Approximation on Riemannian Shape Spaces
Alexander Effland, Behrend Heeren, Martin Rumpf +1
We describe how to approximate the Riemann curvature tensor as well as sectional curvatures on possibly infinite-dimensional shape spaces that can be thought of as Riemannian manif…
Image Morphing in Deep Feature Spaces: Theory and Applications
Alexander Effland, Erich Kobler, Thomas Pock +2
This paper combines image metamorphosis with deep features. To this end, images are considered as maps into a high-dimensional feature space and a structure-sensitive, anisotropic…
Geometric optimization using nonlinear rotation-invariant coordinates
Josua Sassen, Behrend Heeren, Klaus Hildebrandt +1
Geometric optimization problems are at the core of many applications in geometry processing. The choice of a representation fitting an optimization problem can considerably simplif…