10 citations · 10 across the 4 of their papers we have counts for
4 papers
Diffusion Mean Estimation on the Diagonal of Product Manifolds
Mathias Højgaard Jensen, Stefan Sommer
Computing sample means on Riemannian manifolds is typically computationally costly as exemplified by computation of the Fréchet mean which often requires finding minimizing geodesi…
Bridge Simulation and Metric Estimation on Lie Groups and Homogeneous Spaces
Mathias Højgaard Jensen, Lennard Hilgendorf, Sarang Joshi +1
We present schemes for simulating Brownian bridges on complete and connected Lie groups and homogeneous spaces. We use this to construct an estimation scheme for recovering an unkn…
Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds
Stefan Sommer
We present evolution equations for a family of paths that results from anisotropically weighting curve energies in non-linear statistics of manifold valued data. This situation ari…
Symmetry in Image Registration and Deformation Modeling
Stefan Sommer, Henry O. Jacobs
We survey the role of symmetry in diffeomorphic registration of landmarks, curves, surfaces, images and higher-order data. The infinite dimensional problem of finding correspondenc…