2025

• Baumgärtner, Lukas; Bergmann, Ronny; Herzog, Roland; Schmidt, Stephan; Vidal Núñez, José; Weiß, Manuel. (2025) Mesh Denoising and Inpainting Using the Total Variation of the Normal and a Shape Newton Approach. SIAM Journal on Scientific Computing
  Academic article

2024

• Bergmann, Ronny; Ferreira, Orizon P.; M. Santos, Elianderson; Souza, João Carlos O.. (2024) The Difference of Convex Algorithm on Hadamard Manifolds. Journal of Optimization Theory and Applications
  Academic article
• Zimmermann, Ralf; Bergmann, Ronny. (2024) Multivariate Hermite interpolation on Riemannian manifolds. SIAM Journal on Scientific Computing
  Academic article

2023

• 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
• Baumgärtner, Lukas; Bergmann, Ronny; Herzog, Roland; Schmidt, Stephan; Vidal-Núñez, José. (2023) Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging. SIAM Journal of Imaging Sciences
  Academic article

2022

• 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
• Silva Louzeiro, Maurício; Bergmann, Ronny; Herzog, Roland. (2022) Fenchel Duality and a Separation Theorem on Hadamard Manifolds. SIAM Journal on Optimization
  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; Merkert, Dennis. (2020) FFT-based homogenization on periodic anisotropic translation invariant spaces. Applied and Computational Harmonic Analysis
  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

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; 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; Tenbrinck, Daniel. (2018) A graph framework for manifold-valued data. SIAM Journal of Imaging Sciences
  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; 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

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; 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
• 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; 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
• 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

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