Latest publications

  • Fenchel duality and a separation theorem on Hadamard manifolds
    SIAM Journal on Optimization 32(2), p.854-873, 2022
    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},
    }
  • 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
    2022
    bibtex
    @ONLINE{BaumgaertnerBergmannHerzogSchmidtVidalNunez:2022:1,
      AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
      DATE = {2022},
      EPRINT = {2206.12331},
      EPRINTTYPE = {arXiv},
      TITLE = {Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging},
    }
  • Ronny Bergmann, Roland Herzog, Julián Ortiz López, and Anton Schiela
    First- and second-order analysis for optimization problems with manifold-valued constraints
    2021
    bibtex
    @ONLINE{BergmannHerzogLopezSchiela:2021:1,
      AUTHOR = {Bergmann, Ronny and Herzog, Roland and López, Julián Ortiz and Schiela, Anton},
      DATE = {2021},
      EPRINT = {2110.04882},
      EPRINTTYPE = {arXiv},
      TITLE = {First- and second-order analysis for optimization problems with manifold-valued constraints},
    }
  • 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
    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, Marc Herrmann, Roland Herzog, Stephan Schmidt, and José Vidal-Núñez
    Mesh denoising and inpainting using the total variation of the normal
    2020
    bibtex
    @ONLINE{BaumgaertnerBergmannHerrmannHerzogSchmidtVidalNunez:2020:1,
      AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
      DATE = {2020},
      EPRINT = {2012.11748},
      EPRINTTYPE = {arXiv},
      TITLE = {Mesh denoising and inpainting using the total variation of the normal},
    }