Latest publications

• 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},
  }

• Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
  A calculus for non-smooth shape optimization with applications to geometric inverse problems
  Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics, p.101-120, 2022
  
  doi:10.1007/978-3-030-79393-7_5
  bibtex

  @INCOLLECTION{HerrmannHerzogSchmidtVidalNunez:2022:1,
    AUTHOR = {Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
    EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan},
    PUBLISHER = {Springer International Publishing},
    BOOKTITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems},
    DATE = {2022},
    DOI = {10.1007/978-3-030-79393-7_5},
    PAGES = {101--120},
    SERIES = {International Series of Numerical Mathematics},
    TITLE = {A calculus for non-smooth shape optimization with applications to geometric inverse problems},
  }

• 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},
  }

• María Dolores Fajardo, Sorin-Mihai Grad and José Vidal
  New duality results for evenly convex optimization problems
  Optimization, p.1-22, 2020
  
  arXiv:1904.10478 doi:10.1080/02331934.2020.1756287
  bibtex

  @ARTICLE{FajardoGradVidal:2020:1,
    AUTHOR = {Fajardo, María Dolores and Grad, Sorin-Mihai and Vidal, José},
    PUBLISHER = {Informa UK Limited},
    DATE = {2020-04},
    DOI = {10.1080/02331934.2020.1756287},
    EPRINT = {1904.10478},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Optimization},
    PAGES = {1--22},
    TITLE = {New duality results for evenly convex optimization problems},
  }

• Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
  Total variation of the normal vector field as shape prior
  Inverse Problems 36(5), 2020
  
  arXiv:1902.07240 doi:10.1088/1361-6420/ab6d5b
  bibtex

  @ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2020:1,
    AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
    DATE = {2020},
    DOI = {10.1088/1361-6420/ab6d5b},
    EPRINT = {1902.07240},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Inverse Problems},
    NUMBER = {5},
    PAGES = {054004},
    TITLE = {Total variation of the normal vector field as shape prior},
    VOLUME = {36},
  }

• Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
  Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems
  Inverse Problems 36(5), 2020
  
  arXiv:1908.07916 doi:10.1088/1361-6420/ab6d5c
  bibtex

  @ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2020:2,
    AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
    DATE = {2020},
    DOI = {10.1088/1361-6420/ab6d5c},
    EPRINT = {1908.07916},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Inverse Problems},
    NUMBER = {5},
    PAGES = {054003},
    TITLE = {Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems},
    VOLUME = {36},
  }

• Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez
  Geometry processing problems using the total variation of the normal vector field
  Proceedings in Applied Mathematics and Mechanics 19(1), 2019
  
  doi:10.1002/pamm.201900189
  bibtex

  @ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2019:3,
    AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
    PUBLISHER = {Wiley},
    DATE = {2019},
    DOI = {10.1002/pamm.201900189},
    JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
    NUMBER = {1},
    TITLE = {Geometry processing problems using the total variation of the normal vector field},
    VOLUME = {19},
  }