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)

Recent Completed Projects

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)

Latest 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},
}
  • 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, 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},
}

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