Prof. Dr. Ronny Bergmann

Former Deputy Group Leader

Latest publications

  • Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and Manuel Weiß
    Two models for surface segmentation using the total variation of the normal vector, 2024
    arXiv:2412.00445
    bibtex 
    @ONLINE{BaumgaertnerBergmannHerzogSchmidtWeiss:2024:1,
  AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel},
  DATE = {2024-12},
  EPRINT = {2412.00445},
  EPRINTTYPE = {arXiv},
  TITLE = {Two models for surface segmentation using the total variation of the normal vector},
}
  • Anton Schiela, Roland Herzog and Ronny Bergmann
    Nonlinear Fenchel conjugates, 2024
    arXiv:2409.04492
    bibtex 
    @ONLINE{SchielaHerzogBergmann:2024:1,
  AUTHOR = {Schiela, Anton and Herzog, Roland and Bergmann, Ronny},
  DATE = {2024-09},
  EPRINT = {2409.04492},
  EPRINTTYPE = {arXiv},
  TITLE = {Nonlinear Fenchel conjugates},
}
  • Ronny Bergmann, Roland Herzog and Hajg Jasa
    The Riemannian convex bundle method, 2024
    arXiv:2402.13670
    bibtex 
    @ONLINE{BergmannHerzogJasa:2024:1,
  AUTHOR = {Bergmann, Ronny and Herzog, Roland and Jasa, Hajg},
  DATE = {2024-02},
  EPRINT = {2402.13670},
  EPRINTTYPE = {arXiv},
  TITLE = {The Riemannian convex bundle method},
}
  • Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
    Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging
    SIAM Journal on Imaging Sciences 16(1), p.313-339, 2023
    arXiv:2206.12331 doi:10.1137/22m1505281
    bibtex 
    @ARTICLE{BaumgaertnerBergmannHerzogSchmidtVidalNunez:2023:1,
  AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
  PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
  DATE = {2023-02},
  DOI = {10.1137/22m1505281},
  EPRINT = {2206.12331},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {SIAM Journal on Imaging Sciences},
  NUMBER = {1},
  PAGES = {313--339},
  TITLE = {Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging},
  VOLUME = {16},
}
  • Ronny Bergmann, Roland Herzog, Julián Ortiz López and Anton Schiela
    First- and second-order analysis for optimization problems with manifold-valued constraints
    Journal of Optimization Theory and Applications 195(2), p.596-623, 2022
    arXiv:2110.04882 doi:10.1007/s10957-022-02107-x
    bibtex 
    @ARTICLE{BergmannHerzogOrtizLopezSchiela:2022:1,
  AUTHOR = {Bergmann, Ronny and Herzog, Roland and Ortiz López, Julián and Schiela, Anton},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2022-09},
  DOI = {10.1007/s10957-022-02107-x},
  EPRINT = {2110.04882},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {Journal of Optimization Theory and Applications},
  NUMBER = {2},
  PAGES = {596--623},
  TITLE = {First- and second-order analysis for optimization problems with manifold-valued constraints},
  VOLUME = {195},
}
  • Maurício Silva Louzeiro, Ronny Bergmann and Roland Herzog
    Fenchel duality and a separation theorem on Hadamard manifolds
    SIAM Journal on Optimization 32(2), p.854-873, 2022
    arXiv:2102.11155 doi:10.1137/21m1400699
    bibtex 
    @ARTICLE{SilvaLouzeiroBergmannHerzog:2022:1,
  AUTHOR = {Silva Louzeiro, Maurício and Bergmann, Ronny and Herzog, Roland},
  PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
  DATE = {2022-05},
  DOI = {10.1137/21m1400699},
  EPRINT = {2102.11155},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {SIAM Journal on Optimization},
  NUMBER = {2},
  PAGES = {854--873},
  TITLE = {Fenchel duality and a separation theorem on Hadamard manifolds},
  VOLUME = {32},
}
  • Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro, Daniel Tenbrinck and José Vidal-Núñez
    Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
    Foundations of Computational Mathematics 21(6), p.1465-1504, 2021
    arXiv:1908.02022 doi:10.1007/s10208-020-09486-5
    bibtex 
    @ARTICLE{BergmannHerzogSilvaLouzeiroTenbrinckVidalNunez:2021:1,
  AUTHOR = {Bergmann, Ronny and Herzog, Roland and Silva Louzeiro, Maurício and Tenbrinck, Daniel and Vidal-Núñez, José},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2021-01},
  DOI = {10.1007/s10208-020-09486-5},
  EPRINT = {1908.02022},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {Foundations of Computational Mathematics},
  NUMBER = {6},
  PAGES = {1465--1504},
  TITLE = {Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds},
  VOLUME = {21},
}
  • Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Manuel Weiß
    Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach, 2020
    arXiv:2012.11748
    bibtex 
    @ONLINE{BaumgaertnerBergmannHerzogSchmidtVidalNunezWeiss:2020:1,
  AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Weiß, Manuel},
  DATE = {2020-12},
  EPRINT = {2012.11748},
  EPRINTTYPE = {arXiv},
  TITLE = {Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach},
}