Inpainting of Cyclic Data Using First and Second Order Differences. - Ronny Bergmann; Andreas Weinmann (EMMCVPR, 2014)

Second Order Differences of Cyclic Data and Applications in Variational Denoising. - Ronny Bergmann; Friederike Laus; Gabriele Steidl; Andreas Weinmann (SIAM J. Imaging Sci., 2014)

Relating tribological stimuli to somatosensory electroencephalographic responses. - Novaf Özgün; J. Kristof Schubert; Ronny Bergmann; Roland Bennewitz; Daniel J. Strauss (EMBC, 2015)

A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data. - Ronny Bergmann; Andreas Weinmann (J. Math. Imaging Vis., 2016)

A Parallel Douglas-Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds. - Ronny Bergmann; Johannes Persch; Gabriele Steidl (SIAM J. Imaging Sci., 2016)

A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images. - Miroslav Bacák; Ronny Bergmann; Gabriele Steidl; Andreas Weinmann (SIAM J. Sci. Comput., 2016)

Nonlocal Inpainting of Manifold-Valued Data on Finite Weighted Graphs. - Ronny Bergmann; Daniel Tenbrinck (GSI, 2017)

MVIRT, a toolbox for manifold-valued image restoration. - Ronny Bergmann (ICIP, 2017)

Infimal Convolution Coupling of First and Second Order Differences on Manifold-Valued Images. - Ronny Bergmann; Jan Henrik Fitschen; Johannes Persch; Gabriele Steidl (SSVM, 2017)

Iterative Multiplicative Filters for Data Labeling. - Ronny Bergmann; Jan Henrik Fitschen; Johannes Persch; Gabriele Steidl (Int. J. Comput. Vis., 2017)

A framework for FFT-based homogenization on anisotropic lattices. - Ronny Bergmann; Dennis Merkert (Comput. Math. Appl., 2018)

A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve. - Ronny Bergmann; Pierre-Yves Gousenbourger (Frontiers Appl. Math. Stat., 2018)

Priors with Coupled First and Second Order Differences for Manifold-Valued Image Processing. - Ronny Bergmann; Jan Henrik Fitschen; Johannes Persch; Gabriele Steidl (J. Math. Imaging Vis., 2018)

A Graph Framework for Manifold-Valued Data. - Ronny Bergmann; Daniel Tenbrinck (SIAM J. Imaging Sci., 2018)

Fenchel Duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds. - Ronny Bergmann; Roland Herzog; Daniel Tenbrinck; José Vidal-Núñez (CoRR, 2019)

Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems. - Ronny Bergmann; Marc Herrmann; Roland Herzog; Stephan Schmidt 003; José Vidal-Núñez (CoRR, 2019)

Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds. - Ronny Bergmann; Roland Herzog (SIAM J. Optim., 2019)

Mesh Denoising and Inpainting using the Total Variation of the Normal. - Lukas Baumgärtner; Ronny Bergmann; Marc Herrmann; Roland Herzog; Stephan Schmidt 003; José Vidal-Núñez (CoRR, 2020)

Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds. - Ronny Bergmann; Roland Herzog; Maurício Silva Louzeiro; Daniel Tenbrinck; José Vidal-Núñez (Found. Comput. Math., 2021)

Total Generalized Variation for Piecewise Constant Functions with Applications in Imaging. - Lukas Baumgärtner; Ronny Bergmann; Roland Herzog; Stephan Schmidt 003; José Vidal-Núñez (CoRR, 2022)

Multivariate Hermite interpolation of manifold-valued data. - Ralf Zimmermann; Ronny Bergmann (CoRR, 2022)

Manopt.jl: Optimization on Manifolds in Julia. - Ronny Bergmann (J. Open Source Softw., 2022)

First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints. - Ronny Bergmann; Roland Herzog; Julián Ortiz López; Anton Schiela (J. Optim. Theory Appl., 2022)

Fenchel Duality and a Separation Theorem on Hadamard Manifolds. - Maurício Silva Louzeiro; Ronny Bergmann; Roland Herzog (SIAM J. Optim., 2022)

Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging. - Lukas Baumgärtner; Ronny Bergmann; Roland Herzog; Stephan Schmidt 003; José Vidal-Núñez (SIAM J. Imaging Sci., 2023)

Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds. - Seth D. Axen; Mateusz Baran; Ronny Bergmann; Krzysztof Rzecki (ACM Trans. Math. Softw., 2023)

The Riemannian Convex Bundle Method. - Ronny Bergmann; Roland Herzog; Hajg Jasa (CoRR, 2024)

Two Models for Surface Segmentation using the Total Variation of the Normal Vector. - Lukas Baumgärtner; Ronny Bergmann; Roland Herzog; Stephan Schmidt 003; Manuel Weiß (CoRR, 2024)

Multivariate Hermite Interpolation on Riemannian Manifolds. - Ralf Zimmermann 002; Ronny Bergmann (SIAM J. Sci. Comput., 2024)

The Difference of Convex Algorithm on Hadamard Manifolds. - Ronny Bergmann; Orizon P. Ferreira; Elianderson M. Santos; João Carlos de Oliveira Souza (J. Optim. Theory Appl., 2024)

Mesh Denoising and Inpainting Using the Total Variation of the Normal and a Shape Newton Approach. - Lukas Baumgärtner; Ronny Bergmann; Roland Herzog; Stephan Schmidt 003; José Vidal-Núñez; Manuel Weiß (SIAM J. Sci. Comput., 2025)

On projection mappings and the gradient projection method on hyperbolic space forms. - Ronny Bergmann; Orizon P. Ferreira; Sándor Zoltán Németh; Jinzhen Zhu (CoRR, 2025)

The Intrinsic Riemannian Proximal Gradient Method for Nonconvex Optimization. - Ronny Bergmann; Hajg Jasa; Paula John; Max Pfeffer (CoRR, 2025)

Total Generalized Variation of the Normal Vector Field and Applications to Mesh Denoising. - Lukas Baumgärtner; Ronny Bergmann; Roland Herzog; Stephan Schmidt 003; Manuel Weiß (CoRR, 2025)

Newton's method for nonlinear mappings into vector bundles Part II: Application to variational problems. - Laura Weigl; Ronny Bergmann; Anton Schiela (CoRR, 2025)

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization. - Ronny Bergmann; Hajg Jasa; Paula John; Max Pfeffer (CoRR, 2025)