Current and Upcoming Projects
Jan 2026Dec 2026
Jan 2026Dec 2026
Recent Completed Projects
Jun 2021Dec 2025
Jun 2021Dec 2025
Publications
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Controlling nematic fields through shape optimization Preprint2026doi:10.2139/ssrn.7499226
BibLaTeX
@ONLINE{LiGomezMeloWeissSchmidtHerzogSchwarz:2026:1, AUTHOR = {Li, David and Gomez Melo, Santiago and Weiß, Manuel and Schmidt, Stephan and Herzog, Roland and Schwarz, Ulrich Sebastian}, PUBLISHER = {Elsevier BV}, DATE = {2026-09}, DOI = {10.2139/ssrn.7499226}, TITLE = {Controlling nematic fields through shape optimization}, } -
Shape Segmentation and Denoising Based on Total-Variation Functionals ThesisPh.D. thesis, Heidelberg University · 2026doi:10.11588/heidok.00038720
BibLaTeX
@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}, } -
Two models for surface segmentation using the total variation of the normal vector ArticleJournal of Mathematical Imaging and Vision 68(4) · 2026arXiv:2412.00445 doi:10.1007/s10851-026-01303-y
BibLaTeX
@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}, } -
Total generalized variation of the normal vector field and applications to mesh denoising ArticleSIAM Journal on Imaging Sciences 19(1), p.584-611 · 2026arXiv:2507.13530 doi:10.1137/25m1779437
BibLaTeX
@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}, } -
Geometry denoising with preferred normal vectors Preprint2025arXiv:2511.04848
BibLaTeX
@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}, } -
Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach ArticleSIAM Journal on Scientific Computing 47(1), p.A300-A324 · 2025arXiv:2012.11748 doi:10.1137/24m1646121
BibLaTeX
@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}, } -
The proximal map of the weighted mean absolute error ArticleProceedings in Applied Mathematics and Mechanics 23(4) · 2023arXiv:2209.13545 doi:10.1002/pamm.202300042
BibLaTeX
@ARTICLE{BaumgaertnerHerzogSchmidtWeiss:2023:1, AUTHOR = {Baumgärtner, Lukas and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel}, PUBLISHER = {Wiley}, DATE = {2023-09}, DOI = {10.1002/pamm.202300042}, EPRINT = {2209.13545}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {4}, TITLE = {The proximal map of the weighted mean absolute error}, VOLUME = {23}, }
Software
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The proximal map of the weighted mean absolute error2023doi:10.5281/zenodo.7620815
BibLaTeX
@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}, }
Teaching
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Einführung in die Numerik Lecture