Current and Upcoming Projects

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

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

• Manuel Weiß
  Shape Segmentation and Denoising Based on Total-Variation Functionals
  Ph.D. thesis, Heidelberg University, 2026
  
  doi:10.11588/heidok.00038720
  bibtex

  @THESIS{Weiss:2026:1,
    AUTHOR = {Weiß, Manuel},
    INSTITUTION = {Heidelberg University},
    DATE = {2026-06-09},
    DOI = {10.11588/heidok.00038720},
    TITLE = {Shape Segmentation and Denoising Based on Total-Variation Functionals},
    TYPE = {phdthesis},
  }

• 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
  Journal of Mathematical Imaging and Vision 68(4), 2026
  
  arXiv:2412.00445
  doi:10.1007/s10851-026-01303-y
  bibtex

  @ARTICLE{WeissBaumgaertnerWeiglBergmannSchmidtHerzog:2026:1,
    AUTHOR = {Weiß, Manuel and Baumgärtner, Lukas and Weigl, Laura and Bergmann, Ronny and Schmidt, Stephan and Herzog, Roland},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2026-06},
    DOI = {10.1007/s10851-026-01303-y},
    EPRINT = {2412.00445},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Journal of Mathematical Imaging and Vision},
    NUMBER = {4},
    TITLE = {Two models for surface segmentation using the total variation of the normal vector},
    VOLUME = {68},
  }

• 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},
  }

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

• 2022 SS
  Einführung in die Numerik (Lecture)