Last Publications

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

  @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},
  }

• 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
  SIAM Journal on Scientific Computing 47(1), p.A300-A324, 2025
  
  arXiv:2012.11748
  doi:10.1137/24m1646121
  bibtex

  @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},
  }

• Manuel Weiß, Lukas Baumgärtner, Laura Weigl, Ronny Bergmann, Stephan Schmidt and Roland Herzog
  Two models for surface segmentation using the total variation of the normal vector, 2024
  
  arXiv:2412.00445
  bibtex

  @ONLINE{WeissBaumgaertnerWeiglBergmannSchmidtHerzog:2024:2024:1,
    AUTHOR = {Weiß, Manuel and Baumgärtner, Lukas and Weigl, Laura and Bergmann, Ronny and Schmidt, Stephan and Herzog, Roland},
    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},
  }