$ \DeclareMathOperator{\arccosh}{arccosh} \DeclareMathOperator*{\argmin}{arg\,min} \DeclareMathOperator{\Exp}{Exp} \newcommand{\geo}[2]{\gamma_{\overset{\frown}{#1,#2}}} \newcommand{\geoS}{\gamma} \newcommand{\geoD}[2]{\gamma_} \newcommand{\geoL}[2]{\gamma(#2; #1)} \newcommand{\gradM}{\nabla_{\M}} \newcommand{\gradMComp}[1]{\nabla_{\M,#1}} \newcommand{\Grid}{\mathcal G} \DeclareMathOperator{\Log}{Log} \newcommand{\M}{\mathcal M} \newcommand{\N}{\mathcal N} \newcommand{\mat}[1]{\mathbf{#1}} \DeclareMathOperator{\prox}{prox} \newcommand{\PT}[3]{\mathrm{PT}_{#1\to#2}#3} \newcommand{\R}{\mathbb R} \newcommand{\SPD}[1]{\mathcal{P}(#1)} \DeclareMathOperator{\Tr}{Tr} \newcommand{\tT}{\mathrm{T}} \newcommand{\vect}[1]{\mathbf{#1}} $

Students

Supervised Master Theses

09/2015
M. Löckel Variational Models and Primal-Dual Algorithms for Manifold-Valued Image Restoration Master thesis. together with G. Steidl
03/2015
J. Persch Analysis of Local Anisotropies and Denoising of \(\mathbb S^1\)-Valued Data Master thesis. together with G. Steidl

Supervised Bachelor Theses

03/2018
R. Rosandi Optimization of Composite Bézier Curves on Riemannian Manifolds Bachelor thesis.
03/2018
J. Arf An Alternating Gradient Descent Method for Geodesic Regression on symmetric Riemannian manifolds Bachelor thesis.
06/2017
H. Huth Congruence classes of anisotropic patterns on the torus and application in the FFT-based homogenization Bachelor thesis. together with D. MerkertB. SimeonG. Steidl
05/2017
L. Goebel Segmentation of Manifold-valued images Bachelor thesis. together with G. Steidl
01/2017
B. Schmitt Anisotropic Structures and Sampling Patterns for the FFT-based Numerical Homogenization Bachelor thesis. together with D. MerkertB. SimeonG. Steidl
06/2016
S. Neumayer Entropy Regularized Wasserstein Distances and an Application in Image Segmentation Bachelor thesis. together with G. Steidl
06/2016
M. Brusius Unsupervised Co-Segmentation with Histogram Priors Bachelor thesis. together with G. Steidl
12/2013
J. Persch Directional Information via Structure Tensors Bachelor thesis. together with G. Steidl
07/2012
L. Kausch Multivariate anisotrope Dirichlet-Wavelets zur Kantendetektion auf dem Torus Bachelor thesis. together with J. Prestin
10/2011
I. Stolz Die multivariate periodische Fourier- und Wavelet-Transformation auf anisotropen Mustern Bachelor thesis. together with J. Prestin

Supervised Student Projects

10/2017
J. Settelmeier Semantic Segmentation using Fully Convolutional Networks Student Project. together with A. Moghiseh
10/2017
J. Arf R. Rosandi Bézier curves in Riemannian manifolds Student Project.
11/2016
A. Engel L. Goebel Segmentation of Colour Images Using a Regularised Fuzzy C-Means Algorithm Student Project.
09/2016
H. Huth B. Schmitt Lösung der statischen Wärmeleitungsgleichung in der Homogenisierung auf anisotropen Gittern Student Project. together with D. Merkert
04/2016
M. Brusius S. Neumayer An Algorithm for Image Segmentation based on Optimal Transport Distances Student Project. together with G. Steidl