Mathematik, Arbeitsrichtung Angewandte Mathematik

Publikationen

2024

Quellmalz, M.; Elbau, P.; Scherzer, O.; Steidl, G.
Motion detection in diffraction tomography by common circle methods
Math. Comp., 93 (346) :747–784
2024

2023

Quellmalz, M.; Weissinger, L.; Hubmer, S.; Erchinger, P.
A Frame Decomposition of the Funk-Radon Transform
Scale Space and Variational Methods in Computer Vision. SSVM 2023, Seite 42-54
Mai 2023
ISBN
978-3-031-31975-4
Beinert, R.; Quellmalz, M.
Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object
Proceedings in Applied Mathematics & Mechanics, 22 (1) :6
März 2023
Herausgeber: Wiley-VCH GmbH
Faucher, F.; Kirisits, C.; Quellmalz, M.; Scherzer, O.; Setterqvist, E.
Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, Seite 273–312
Herausgeber: Springer
2023
ISBN
978-3-030-98661-2
Quellmalz, M.; Beinert, R.; Steidl, G.
Sliced optimal transport on the sphere
Inverse Problems, 39 (10) :105005
2023
Mildenberger, S.; Quellmalz, M.
A double Fourier sphere method for d-dimensional manifolds
Sampling Theory, Signal Processing, and Data Analysis, 21 (Article number: 23)
2023

2022

Berdellima, A.; Beinert, R.; Gräf, M.; Steidl, G.
On the dynamical system of principal curves in $R^d$
Communications in Statistic: Simulation and Computation, 12 :1–-20
2022
Hertrich, J.; Gräf, M.; Beinert, R.; Steidl, G.
Wasserstein Steepest Descent Flows of Discrepancies with Riesz Kernels
arXiv preprint arXiv:2211.01804
2022
Beier, F.; Lindheim, J.; Neumayer, S.; Steidl, G.
Unbalanced multi-marginal optimal transport
Journal of Mathematical Imaging and Vision :1-20
2022
Hagemann, P.; Hertrich, J.; Steidl, G.
Stochastic normalizing flows for inverse problems: A Markov chain viewpoint
SIAM Journal on Uncertainty Quantification, 10 (3) :1162–1190
2022
Hertrich, J.; Ba, F.; Steidl, G.
Sparse ANOVA inspired mixtiure models
ETNA, 55 :142–168
2022
Berdellima, A.; Steidl, G.
Quasi α-Firmly Nonexpansive Mappings in Wasserstein Spaces
arXiv preprint arXiv:2203.04851
2022
Hertrich, Johannes; Nguyen, Dang Phoung Lan; Aujol, Jean-Francois; Bernard, Dominique; Berthoumieu, Yannik; Saadaldin, Abdellah; Steidl, Gabriele
PCA reduced Gaussian mixture models with application in superresolution
Inverse Problems in Imaging, 16 :341–366
2022
Altekrüger, F.; Denker, A.; Hagemann, P.; Hertrich, J.; Maass, P.; Steidl, G.
PatchNR: Learning from Small Data by Patch Normalizing Flow Regularization
arXiv preprint arXiv:2205.12021
2022
Steidl, Gabriele; Beinert, Robert; Gräf, Manuel; Hertich, Johannes
Wasserstein Steepest Descent Flows of Discrepancies with Distance Kernels
Oberwolfach Report 38-2022 : Mathematical Imaging and Surface Processing
2022
Beinert, R.; Heiss, C.; Steidl, G.
On Assignment Problems Related to Gromov-Wasserstein Distances on the Real Line
arXiv preprint arXiv:2205.09006
2022
Beier, F.; Beinert, R.; Steidl, G.
Multi-Marginal Gromov-Wasserstein Transport and Barycenters
arXiv preprint arXiv:2205.06725
2022
Flotho, Philipp; Heiß, Cosmas; Steidl, Gabriele; Strauss, Daniel J.
Lagrangian Motion Magnification with Landmark-Prior and Sparse PCA for Facial Microexpressions and Micromovements
44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), Seite 2215–2218
2022
Flotho, P.; Heiss, C.; Steidl, G.; Strauss, D.J.
Lagrangian Motion Magnification with Double Sparse Optical Flow Decomposition
arXiv preprint arXiv:2204.07636
2022
Hertrich, J.; Steidl, G.
Inertial Stochastic PALM and Applications in Machine Learning
Sampling Theory, Signal Processing, and Data Analysis, 20 (4)
2022
Hagemann, P.; Hertrich, J.; Steidl, G.
Generalized Normalizing Flows via Markov Chains
Non-local data interactions: foundations and applications
Herausgeber: Cambridge University Press
2022
Dahlke, S.; Mari, F. D.; Vito, E. D.; Hansen, M.; Hasannsab, M.; Quellmalz, M.; Steidl, G.; Teschke, G.
Continous wavelet frames on the sphere: The group-theoretic approach revisited
Applied and Computational Harmonic Analysis, 56 :123–149
2022
Mildenberger, S.; Quellmalz, M.
Approximation Properties of the Double Fourier Sphere Method
Journal of Fourier Analysis and Applications, 28 (Article number: 31)
2022
Gräf, M.; Neumayer, S.; Hielscher, R.; Steidl, G.; Liesegang, M.; Beck, T.
An Optical Flow Model in Electron Backscatter Diffraction
SIAM Journal of Imaging Sciences, 15 (1) :228–260
2022
Beier, F.; Beinert, R.; Steidl, G.
On a linear Gromov-Wasserstein distance
IEEE Transactions on Image Processing, 31 :7292–7305
2022