6 citations · 6 across the 1 of their papers we have counts for
4 papers
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…
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…
Variational time discretization of Riemannian splines
Behrend Heeren, Martin Rumpf, Benedikt Wirth
We investigate a generalization of cubic splines to Riemannian manifolds. Spline curves are defined as minimizers of the spline energy - a combination of the Riemannian path energy…
Optimization of the branching pattern in coherent phase transitions
Patrick Dondl, Behrend Heeren, Martin Rumpf
Branching can be observed at the austenite-martensite interface of martensitic phase transformations. For a model problem, Kohn and Müller studied a branching pattern with optimal…