Last Publications

• The Riemannian convex bundle method Article
  Ronny Bergmann, Roland Herzog and Hajg Jasa
  Journal of Nonsmooth Analysis and Optimization 6 · 2026
  doi:10.46298/jnsao-2026-16115

  BibLaTeX

  @ARTICLE{BergmannHerzogJasa:2026:1,
    AUTHOR = {Bergmann, Ronny and Herzog, Roland and Jasa, Hajg},
    DATE = {2026-10},
    DOI = {10.46298/jnsao-2026-16115},
    JOURNALTITLE = {Journal of Nonsmooth Analysis and Optimization},
    TITLE = {The Riemannian convex bundle method},
    VOLUME = {6},
  }

• Two models for surface segmentation using the total variation of the normal vector Article
  Manuel Weiß, Lukas Baumgärtner, Laura Weigl, Ronny Bergmann, Stephan Schmidt and Roland Herzog
  Journal of Mathematical Imaging and Vision 68(4) · 2026
  arXiv:2412.00445 doi:10.1007/s10851-026-01303-y

  BibLaTeX

  @ARTICLE{WeissBaumgaertnerWeiglBergmannSchmidtHerzog:2026:1,
    AUTHOR = {Weiß, Manuel and Baumgärtner, Lukas and Weigl, Laura and Bergmann, Ronny and Schmidt, Stephan and Herzog, Roland},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2026-06},
    DOI = {10.1007/s10851-026-01303-y},
    EPRINT = {2412.00445},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Journal of Mathematical Imaging and Vision},
    NUMBER = {4},
    TITLE = {Two models for surface segmentation using the total variation of the normal vector},
    VOLUME = {68},
  }

• Total generalized variation of the normal vector field and applications to mesh denoising Article
  Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and Manuel Weiß
  SIAM Journal on Imaging Sciences 19(1), p.584-611 · 2026
  arXiv:2507.13530 doi:10.1137/25m1779437

  BibLaTeX

  @ARTICLE{BaumgaertnerBergmannHerzogSchmidtWeiss:2026:1,
    AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel},
    PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
    DATE = {2026-03},
    DOI = {10.1137/25m1779437},
    EPRINT = {2507.13530},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {SIAM Journal on Imaging Sciences},
    NUMBER = {1},
    PAGES = {584--611},
    TITLE = {Total generalized variation of the normal vector field and applications to mesh denoising},
    VOLUME = {19},
  }

• Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach Article
  Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Manuel Weiß
  SIAM Journal on Scientific Computing 47(1), p.A300-A324 · 2025
  arXiv:2012.11748 doi:10.1137/24m1646121

  BibLaTeX

  @ARTICLE{BaumgaertnerBergmannHerzogSchmidtVidalNunezWeiss:2025:1,
    AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Weiß, Manuel},
    PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
    DATE = {2025-01},
    DOI = {10.1137/24m1646121},
    EPRINT = {2012.11748},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {SIAM Journal on Scientific Computing},
    NUMBER = {1},
    PAGES = {A300--A324},
    TITLE = {Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach},
    VOLUME = {47},
  }

• Nonlinear Fenchel conjugates Preprint
  Anton Schiela, Roland Herzog and Ronny Bergmann
  2024
  arXiv:2409.04492

  BibLaTeX

  @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},
  }

• Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging Article
  Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
  SIAM Journal on Imaging Sciences 16(1), p.313-339 · 2023
  arXiv:2206.12331 doi:10.1137/22m1505281

  BibLaTeX

  @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},
  }

• First- and second-order analysis for optimization problems with manifold-valued constraints Article
  Ronny Bergmann, Roland Herzog, Julián Ortiz López and Anton Schiela
  Journal of Optimization Theory and Applications 195(2), p.596-623 · 2022
  arXiv:2110.04882 doi:10.1007/s10957-022-02107-x

  BibLaTeX

  @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},
  }

• Fenchel duality and a separation theorem on Hadamard manifolds Article
  Maurício Silva Louzeiro, Ronny Bergmann and Roland Herzog
  SIAM Journal on Optimization 32(2), p.854-873 · 2022
  arXiv:2102.11155 doi:10.1137/21m1400699

  BibLaTeX

  @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},
  }