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English

Ronny Bergmann

Ronny Bergmann

Førsteamanuensis
Institutt for matematiske fag

ronny.bergmann@ntnu.no
73559518 Sentralbygg 2, 1046, Gløshaugen
ResearchGate ronnybergmann.net
Om Publikasjoner Undervisning Formidling

Om

Ronny Bergmann er førsteamanuensis ved institutt for matematiske fag siden mars 2021.

Se engelsk side for mer informasjon.

Publikasjoner

  • Kronologisk
  • Etter kategori

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. volum 16 (1).
    Vitenskapelig artikkel

2022

  • Bergmann, Ronny. (2022) Manopt.jl: Optimization on Manifolds in Julia. Journal of Open Source Software (JOSS). volum 7.
    Vitenskapelig artikkel
  • 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. volum 195 (2).
    Vitenskapelig artikkel
  • Silva Louzeiro, Maurício; Bergmann, Ronny; Herzog, Roland. (2022) Fenchel Duality and a Separation Theorem on Hadamard Manifolds. SIAM Journal on Optimization. volum 32 (2).
    Vitenskapelig artikkel

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. volum 21.
    Vitenskapelig artikkel

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. volum 36 (5).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Herrmann, Marc; Herzog, Roland; Schmidt, Stephan; Vidal-Núñez, José. (2020) Total variation of the normal vector field as shape prior. Inverse Problems. volum 36 (5).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Merkert, Dennis. (2020) FFT-based homogenization on periodic anisotropic translation invariant spaces. Applied and Computational Harmonic Analysis. volum 48 (1).
    Vitenskapelig artikkel

2019

  • Bergmann, Ronny; Herzog, Roland. (2019) Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds. SIAM Journal on Optimization. volum 29 (4).
    Vitenskapelig artikkel

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. volum 60 (9).
    Vitenskapelig artikkel
  • 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.
    Vitenskapelig artikkel
  • Bergmann, Ronny; Merkert, Dennis. (2018) A framework for FFT-based homogenization on anisotropic lattices. Computers and Mathematics with Applications. volum 76 (1).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Tenbrinck, Daniel. (2018) A graph framework for manifold-valued data. SIAM Journal of Imaging Sciences. volum 11 (1).
    Vitenskapelig artikkel

2017

  • Bergmann, Ronny; Fitschen, Jan Henrik; Persch, Johannes; Steidl, Gabriele. (2017) Iterative multiplicative filters for data labeling. International Journal of Computer Vision. volum 123 (3).
    Vitenskapelig artikkel

2016

  • 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. volum 38 (1).
    Vitenskapelig artikkel
  • 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. volum 10 (2).
    Vitenskapelig artikkel
  • 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. volum 9 (3).
    Vitenskapelig artikkel
  • 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. volum 55 (3).
    Vitenskapelig artikkel

2015

  • Bergmann, Ronny; Prestin, Jürgen. (2015) Multivariate periodic wavelets of de la Vallée Poussin type. Journal of Fourier Analysis and Applications.
    Vitenskapelig artikkel

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. volum 7 (4).
    Vitenskapelig artikkel

2013

  • Bergmann, Ronny. (2013) The fast Fourier transform and fast wavelet transform for patterns on the torus. Applied and Computational Harmonic Analysis. volum 35 (1).
    Vitenskapelig artikkel

Tidsskriftspublikasjoner

  • 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. volum 16 (1).
    Vitenskapelig artikkel
  • Bergmann, Ronny. (2022) Manopt.jl: Optimization on Manifolds in Julia. Journal of Open Source Software (JOSS). volum 7.
    Vitenskapelig artikkel
  • 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. volum 195 (2).
    Vitenskapelig artikkel
  • Silva Louzeiro, Maurício; Bergmann, Ronny; Herzog, Roland. (2022) Fenchel Duality and a Separation Theorem on Hadamard Manifolds. SIAM Journal on Optimization. volum 32 (2).
    Vitenskapelig artikkel
  • 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. volum 21.
    Vitenskapelig artikkel
  • 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. volum 36 (5).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Herrmann, Marc; Herzog, Roland; Schmidt, Stephan; Vidal-Núñez, José. (2020) Total variation of the normal vector field as shape prior. Inverse Problems. volum 36 (5).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Merkert, Dennis. (2020) FFT-based homogenization on periodic anisotropic translation invariant spaces. Applied and Computational Harmonic Analysis. volum 48 (1).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Herzog, Roland. (2019) Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds. SIAM Journal on Optimization. volum 29 (4).
    Vitenskapelig artikkel
  • 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. volum 60 (9).
    Vitenskapelig artikkel
  • 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.
    Vitenskapelig artikkel
  • Bergmann, Ronny; Merkert, Dennis. (2018) A framework for FFT-based homogenization on anisotropic lattices. Computers and Mathematics with Applications. volum 76 (1).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Tenbrinck, Daniel. (2018) A graph framework for manifold-valued data. SIAM Journal of Imaging Sciences. volum 11 (1).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Fitschen, Jan Henrik; Persch, Johannes; Steidl, Gabriele. (2017) Iterative multiplicative filters for data labeling. International Journal of Computer Vision. volum 123 (3).
    Vitenskapelig artikkel
  • 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. volum 38 (1).
    Vitenskapelig artikkel
  • 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. volum 10 (2).
    Vitenskapelig artikkel
  • 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. volum 9 (3).
    Vitenskapelig artikkel
  • 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. volum 55 (3).
    Vitenskapelig artikkel
  • Bergmann, Ronny; Prestin, Jürgen. (2015) Multivariate periodic wavelets of de la Vallée Poussin type. Journal of Fourier Analysis and Applications.
    Vitenskapelig artikkel
  • 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. volum 7 (4).
    Vitenskapelig artikkel
  • Bergmann, Ronny. (2013) The fast Fourier transform and fast wavelet transform for patterns on the torus. Applied and Computational Harmonic Analysis. volum 35 (1).
    Vitenskapelig artikkel

Undervisning

Emner

  • TMA4125 - Matematikk 4N
  • TMA4215 - Numerisk matematikk

Formidling

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.
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