12 citations · 69 across the 29 of their papers we have counts for
6 papers · 1 filter
Homogenization in magnetic-shape-memory polymer composites
Sergio Conti, Martin Lenz, Matthäus Pawelczyk +1
Magnetic-shape-memory materials (e.g. specific NiMnGa alloys) react with a large change of shape to the presence of an external magnetic field. As an alternative for the difficult…
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…
Branching Structures in Elastic Shape Optimization
Nora Lüthen, Martin Rumpf, Sascha Tölkes +1
Fine scale elastic structures are widespread in nature, for instances in plants or bones, whenever stiffness and low weight are required. These patterns frequently refine towards a…
Computation of Optimal Transport on Discrete Metric Measure Spaces
Matthias Erbar, Martin Rumpf, Bernhard Schmitzer +1
In this paper we investigate the numerical approximation of an analogue of the Wasserstein distance for optimal transport on graphs that is defined via a discrete modification of t…
Image Extrapolation for the Time Discrete Metamorphosis Model - Existence and Applications
Alexander Effland, Martin Rumpf, Florian Schäfer
The space of images can be equipped with a Riemannian metric measuring both the cost of transport of image intensities and the variation of image intensities along motion lines. Th…
Smooth Interpolation of Key Frames in a Riemannian Shell Space
Pascal Huber, Ricardo Perl, Martin Rumpf
Splines and subdivision curves are flexible tools in the design and manipulation of curves in Euclidean space. In this paper we study generalizations of interpolating splines and s…