Ronny Bergmann
About
Ronny Bergmann is Associate Professor at the Department of Mathematical Sciences since March 2021.
He was a researcher and deputy head Arbeitsgruppe Numerik partieller Differentialgleichungen (since 2021: scoop@IWR Heidelberg), Technische Universität Chemnitz, which he joined in April 2018. Previously he worked within the Image Processing Group (since 2020: FG angew. Math.@TU Berlin), Technische Universität Kaiserslautern, where he finished his habilitation beginning of 2018. Prior to that he was a doctoral researcher and teaching assistant at the Institut für Mathematik, Universität zu Lübeck, working together with his PhD supervisor Jürgen Prestin.
He has supervised 11 master and 14 bachelor theses – see here.
Publications
2023
-
Baumgärtner, Lukas;
Bergmann, Ronny;
Herzog, Roland;
Schmidt, Stephan;
Vidal-Núñez, José.
(2023)
Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging.
SIAM Journal of Imaging Sciences
Academic article
-
Axen, Seth D.;
Baran, Mateusz;
Bergmann, Ronny;
Rzecki, Krzysztof.
(2023)
Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds.
ACM Transactions on Mathematical Software
Academic article
2022
-
Silva Louzeiro, Maurício;
Bergmann, Ronny;
Herzog, Roland.
(2022)
Fenchel Duality and a Separation Theorem on Hadamard Manifolds.
SIAM Journal on Optimization
Academic article
-
Bergmann, Ronny;
Herzog, Roland;
Ortiz López, Julian;
Schiela, Anton.
(2022)
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints.
Journal of Optimization Theory and Applications
Academic article
-
Bergmann, Ronny.
(2022)
Manopt.jl: Optimization on Manifolds in Julia.
Journal of Open Source Software (JOSS)
Academic article
2021
-
Bergmann, Ronny;
Herzog, Roland;
Silva Louzeiro, Maurício;
Tenbrinck, Daniel;
Vidal-Núñez, José.
(2021)
Fenchel duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds.
Foundations of Computational Mathematics
Academic article
2020
-
Bergmann, Ronny;
Herrmann, Marc;
Herzog, Roland;
Schmidt, Stephan;
Vidal-Núñez, José.
(2020)
Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems.
Inverse Problems
Academic article
-
Bergmann, Ronny;
Herrmann, Marc;
Herzog, Roland;
Schmidt, Stephan;
Vidal-Núñez, José.
(2020)
Total variation of the normal vector field as shape prior.
Inverse Problems
Academic article
-
Bergmann, Ronny;
Merkert, Dennis.
(2020)
FFT-based homogenization on periodic anisotropic translation invariant spaces.
Applied and Computational Harmonic Analysis
Academic article
2019
-
Bergmann, Ronny;
Herzog, Roland.
(2019)
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds.
SIAM Journal on Optimization
Academic article
2018
-
Bergmann, Ronny;
Tenbrinck, Daniel.
(2018)
A graph framework for manifold-valued data.
SIAM Journal of Imaging Sciences
Academic article
-
Bergmann, Ronny;
Gousenbourger, Pierre-Yves.
(2018)
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve.
Frontiers in Applied Mathematics and Statistics
Academic article
-
Bergmann, Ronny;
Fitschen, Jan Henrik;
Persch, Johannes;
Steidl, Gabriele.
(2018)
Priors with coupled first and second order differences for manifold-valued image processing.
Journal of Mathematical Imaging and Vision
Academic article
-
Bergmann, Ronny;
Merkert, Dennis.
(2018)
A framework for FFT-based homogenization on anisotropic lattices.
Computers and Mathematics with Applications
Academic article
2017
-
Bergmann, Ronny;
Fitschen, Jan Henrik;
Persch, Johannes;
Steidl, Gabriele.
(2017)
Iterative multiplicative filters for data labeling.
International Journal of Computer Vision
Academic article
2016
-
Bergmann, Ronny;
Weinmann, Andreas.
(2016)
A second order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data.
Journal of Mathematical Imaging and Vision
Academic article
-
Bačák, Miroslav;
Bergmann, Ronny;
Steidl, Gabriele;
Weinmann, Andreas.
(2016)
A second order non-smooth variational model for restoring manifold-valued images.
SIAM Journal on Scientific Computing
Academic article
-
Bergmann, Ronny;
Chan, Raymond H.;
Hielscher, Ralf;
Persch, Johannes;
Steidl, Gabriele.
(2016)
Restoration of manifold-valued images by half-quadratic minimization.
Inverse Problems and Imaging
Academic article
-
Bergmann, Ronny;
Persch, Johannes;
Steidl, Gabriele.
(2016)
A parallel Douglas–Rachford algorithm for minimizing ROF-like functionals on images with values in symmetric Hadamard manifolds.
SIAM Journal of Imaging Sciences
Academic article
2015
-
Bergmann, Ronny;
Prestin, Jürgen.
(2015)
Multivariate periodic wavelets of de la Vallée Poussin type.
Journal of Fourier Analysis and Applications
Academic article
2014
-
Bergmann, Ronny;
Laus, Friederike;
Steidl, Gabriele;
Weinmann, Andreas.
(2014)
Second order differences of cyclic data and applications in variational denoising.
SIAM Journal of Imaging Sciences
Academic article
2013
-
Bergmann, Ronny.
(2013)
The fast Fourier transform and fast wavelet transform for patterns on the torus.
Applied and Computational Harmonic Analysis
Academic article
Journal publications
-
Baumgärtner, Lukas;
Bergmann, Ronny;
Herzog, Roland;
Schmidt, Stephan;
Vidal-Núñez, José.
(2023)
Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging.
SIAM Journal of Imaging Sciences
Academic article
-
Axen, Seth D.;
Baran, Mateusz;
Bergmann, Ronny;
Rzecki, Krzysztof.
(2023)
Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds.
ACM Transactions on Mathematical Software
Academic article
-
Silva Louzeiro, Maurício;
Bergmann, Ronny;
Herzog, Roland.
(2022)
Fenchel Duality and a Separation Theorem on Hadamard Manifolds.
SIAM Journal on Optimization
Academic article
-
Bergmann, Ronny;
Herzog, Roland;
Ortiz López, Julian;
Schiela, Anton.
(2022)
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints.
Journal of Optimization Theory and Applications
Academic article
-
Bergmann, Ronny.
(2022)
Manopt.jl: Optimization on Manifolds in Julia.
Journal of Open Source Software (JOSS)
Academic article
-
Bergmann, Ronny;
Herzog, Roland;
Silva Louzeiro, Maurício;
Tenbrinck, Daniel;
Vidal-Núñez, José.
(2021)
Fenchel duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds.
Foundations of Computational Mathematics
Academic article
-
Bergmann, Ronny;
Herrmann, Marc;
Herzog, Roland;
Schmidt, Stephan;
Vidal-Núñez, José.
(2020)
Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems.
Inverse Problems
Academic article
-
Bergmann, Ronny;
Herrmann, Marc;
Herzog, Roland;
Schmidt, Stephan;
Vidal-Núñez, José.
(2020)
Total variation of the normal vector field as shape prior.
Inverse Problems
Academic article
-
Bergmann, Ronny;
Merkert, Dennis.
(2020)
FFT-based homogenization on periodic anisotropic translation invariant spaces.
Applied and Computational Harmonic Analysis
Academic article
-
Bergmann, Ronny;
Herzog, Roland.
(2019)
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds.
SIAM Journal on Optimization
Academic article
-
Bergmann, Ronny;
Tenbrinck, Daniel.
(2018)
A graph framework for manifold-valued data.
SIAM Journal of Imaging Sciences
Academic article
-
Bergmann, Ronny;
Gousenbourger, Pierre-Yves.
(2018)
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve.
Frontiers in Applied Mathematics and Statistics
Academic article
-
Bergmann, Ronny;
Fitschen, Jan Henrik;
Persch, Johannes;
Steidl, Gabriele.
(2018)
Priors with coupled first and second order differences for manifold-valued image processing.
Journal of Mathematical Imaging and Vision
Academic article
-
Bergmann, Ronny;
Merkert, Dennis.
(2018)
A framework for FFT-based homogenization on anisotropic lattices.
Computers and Mathematics with Applications
Academic article
-
Bergmann, Ronny;
Fitschen, Jan Henrik;
Persch, Johannes;
Steidl, Gabriele.
(2017)
Iterative multiplicative filters for data labeling.
International Journal of Computer Vision
Academic article
-
Bergmann, Ronny;
Weinmann, Andreas.
(2016)
A second order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data.
Journal of Mathematical Imaging and Vision
Academic article
-
Bačák, Miroslav;
Bergmann, Ronny;
Steidl, Gabriele;
Weinmann, Andreas.
(2016)
A second order non-smooth variational model for restoring manifold-valued images.
SIAM Journal on Scientific Computing
Academic article
-
Bergmann, Ronny;
Chan, Raymond H.;
Hielscher, Ralf;
Persch, Johannes;
Steidl, Gabriele.
(2016)
Restoration of manifold-valued images by half-quadratic minimization.
Inverse Problems and Imaging
Academic article
-
Bergmann, Ronny;
Persch, Johannes;
Steidl, Gabriele.
(2016)
A parallel Douglas–Rachford algorithm for minimizing ROF-like functionals on images with values in symmetric Hadamard manifolds.
SIAM Journal of Imaging Sciences
Academic article
-
Bergmann, Ronny;
Prestin, Jürgen.
(2015)
Multivariate periodic wavelets of de la Vallée Poussin type.
Journal of Fourier Analysis and Applications
Academic article
-
Bergmann, Ronny;
Laus, Friederike;
Steidl, Gabriele;
Weinmann, Andreas.
(2014)
Second order differences of cyclic data and applications in variational denoising.
SIAM Journal of Imaging Sciences
Academic article
-
Bergmann, Ronny.
(2013)
The fast Fourier transform and fast wavelet transform for patterns on the torus.
Applied and Computational Harmonic Analysis
Academic article
Teaching
Courses
Media
Manifolds in Julia – Manifolds.jl & ManifoldsBase.jl | JuliaCon 2020
Manifolds.jl provides a library of Riemannian manifolds based on the light-weight, extensible interface ManifoldsBase.jl, which can be used to implement algorithms on arbitrary manifolds.
Manopt.jl – Optimization on Riemannian Manifolds | Extended Lightning Talk | JuliaCon 2022
Manopt.jl provides a set of optimization algorithms in Julia for problems defined on a Riemannian manifold. These are implemented using the interface ManifoldsBase.jl and hence work for arbitrary manifolds from the Manifolds.jl library.