Current Group Member

M.Sc. Manuel Weiß

PhD Student

Current and Upcoming Projects

Computational Shape Optimization for Materials Science and Biology
Start: 2026-01-01
End: 2026-12-31
Principal Investigators: Roland Herzog, Ulrich Schwarz
Staff: Manuel Weiß
Funded by: MWK, BMFTR within the Excellence Strategy funding scheme
Part of: Patterns and Structures in Mathematics, Data, and the Material World (FoF 2)

A Calculus for Non-Smooth Shape Optimization with Applications to Geometric Inverse Problems
Start: 2021-06-15
End: 2025-12-31
Principal Investigators: Roland Herzog, Stephan Schmidt
Staff: Manuel Weiß, Lukas Baumgärtner
Funded by: DFG within the Priority Program funding scheme
Part of: Non-Smooth and Complementarity-based Distributed Parameter Systems (SPP 1962)

Recent Completed Projects

Latest Publications

  • Manuel Weiß, Lukas Baumgärtner, Roland Herzog and Stephan Schmidt
    Geometry denoising with preferred normal vectors, 2025
    arXiv:2511.04848
    bibtex 
    @ONLINE{WeissBaumgaertnerHerzogSchmidt:2025:1,
  AUTHOR = {Weiß, Manuel and Baumgärtner, Lukas and Herzog, Roland and Schmidt, Stephan},
  DATE = {2025-11},
  EPRINT = {2511.04848},
  EPRINTTYPE = {arXiv},
  TITLE = {Geometry denoising with preferred normal vectors},
}
  • Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and Manuel Weiß
    Total generalized variation of the normal vector field and applications to mesh denoising, 2025
    arXiv:2507.13530
    bibtex 
    @ONLINE{BaumgaertnerBergmannHerzogSchmidtWeiss:2025:1,
  AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel},
  DATE = {2025-07},
  EPRINT = {2507.13530},
  EPRINTTYPE = {arXiv},
  TITLE = {Total generalized variation of the normal vector field and applications to mesh denoising},
}
  • 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},
}
  • 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},
}

Latest Software

  • Lukas Baumgärtner, Roland Herzog, Stephan Schmidt and Manuel Weiß
    The proximal map of the weighted mean absolute error, 2023
    doi:10.5281/zenodo.7620815
    bibtex 
    @SOFTWARE{BaumgaertnerHerzogSchmidtWeiss:2022:2,
  AUTHOR = {Baumgärtner, Lukas and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel},
  DATE = {2023},
  DOI = {10.5281/zenodo.7620815},
  TITLE = {The proximal map of the weighted mean absolute error},
}

Recent Teaching