Ronny Bergmann

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 27

Top Topics

Euclidean Space

Riemannian Manifolds

Top Venues

SIAM J. Imaging Sci.

J. Optim. Theory Appl.

Publications

Ronny Bergmann, Orizon P. Ferreira, Elianderson M. Santos, João Carlos de Oliveira Souza
The Difference of Convex Algorithm on Hadamard Manifolds. J. Optim. Theory Appl. 201 (1) (2024)
Ralf Zimmermann, Ronny Bergmann
Multivariate Hermite Interpolation on Riemannian Manifolds. SIAM J. Sci. Comput. 46 (2) (2024)
Ronny Bergmann, Roland Herzog, Hajg Jasa
The Riemannian Convex Bundle Method. CoRR (2024)
Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez
Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging. SIAM J. Imaging Sci. 16 (1) (2023)
Seth D. Axen, Mateusz Baran, Ronny Bergmann, Krzysztof Rzecki
Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds. ACM Trans. Math. Softw. 49 (4) (2023)
Ronny Bergmann, Roland Herzog, Julián Ortiz López, Anton Schiela
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints. J. Optim. Theory Appl. 195 (2) (2022)
Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez
Total Generalized Variation for Piecewise Constant Functions with Applications in Imaging. CoRR (2022)
Ronny Bergmann
Manopt.jl: Optimization on Manifolds in Julia. J. Open Source Softw. 7 (69) (2022)
Ralf Zimmermann, Ronny Bergmann
Multivariate Hermite interpolation of manifold-valued data. CoRR (2022)
Maurício Silva Louzeiro, Ronny Bergmann, Roland Herzog
Fenchel Duality and a Separation Theorem on Hadamard Manifolds. SIAM J. Optim. 32 (2) (2022)
Seth D. Axen, Mateusz Baran, Ronny Bergmann, Krzysztof Rzecki
Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds. CoRR (2021)
Ronny Bergmann, Roland Herzog, Mauricio S. Louzeiro, Daniel Tenbrinck, José Vidal-Núñez
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds. Found. Comput. Math. 21 (6) (2021)
Lukas Baumgärtner, Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez
Mesh Denoising and Inpainting using the Total Variation of the Normal. CoRR (2020)
Ronny Bergmann, Roland Herzog, Daniel Tenbrinck, José Vidal-Núñez
Fenchel Duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds. CoRR (2019)
Ronny Bergmann, Roland Herzog
Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds. SIAM J. Optim. 29 (4) (2019)
Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez
Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems. CoRR (2019)
Ronny Bergmann, Jan Henrik Fitschen, Johannes Persch, Gabriele Steidl
Priors with Coupled First and Second Order Differences for Manifold-Valued Image Processing. J. Math. Imaging Vis. 60 (9) (2018)
Ronny Bergmann, Daniel Tenbrinck
A Graph Framework for Manifold-Valued Data. SIAM J. Imaging Sci. 11 (1) (2018)
Ronny Bergmann, Dennis Merkert
A framework for FFT-based homogenization on anisotropic lattices. Comput. Math. Appl. 76 (1) (2018)
Ronny Bergmann, Pierre-Yves Gousenbourger
A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve. Frontiers Appl. Math. Stat. 4 (2018)
Ronny Bergmann, Jan Henrik Fitschen, Johannes Persch, Gabriele Steidl
Infimal Convolution Coupling of First and Second Order Differences on Manifold-Valued Images. SSVM (2017)
Ronny Bergmann, Jan Henrik Fitschen, Johannes Persch, Gabriele Steidl
Iterative Multiplicative Filters for Data Labeling. Int. J. Comput. Vis. 123 (3) (2017)
Ronny Bergmann
MVIRT, a toolbox for manifold-valued image restoration. ICIP (2017)
Ronny Bergmann, Daniel Tenbrinck
Nonlocal Inpainting of Manifold-Valued Data on Finite Weighted Graphs. GSI (2017)
Miroslav Bacák, Ronny Bergmann, Gabriele Steidl, Andreas Weinmann
A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images. SIAM J. Sci. Comput. 38 (1) (2016)
Ronny Bergmann, Andreas Weinmann
A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data. J. Math. Imaging Vis. 55 (3) (2016)
Ronny Bergmann, Johannes Persch, Gabriele Steidl
A Parallel Douglas-Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds. SIAM J. Imaging Sci. 9 (3) (2016)
Novaf Özgün, J. Kristof Schubert, Ronny Bergmann, Roland Bennewitz, Daniel J. Strauss
Relating tribological stimuli to somatosensory electroencephalographic responses. EMBC (2015)
Ronny Bergmann, Friederike Laus, Gabriele Steidl, Andreas Weinmann
Second Order Differences of Cyclic Data and Applications in Variational Denoising. SIAM J. Imaging Sci. 7 (4) (2014)
Ronny Bergmann, Andreas Weinmann
Inpainting of Cyclic Data Using First and Second Order Differences. EMMCVPR (2014)