-
Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach
Article
SIAM Journal on Scientific Computing 47(1), p.A300-A324 · 2025
arXiv: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},
}
-
Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging
Article
SIAM Journal on Imaging Sciences 16(1), p.313-339 · 2023
arXiv:2206.12331
doi:10.1137/22m1505281
BibLaTeX
@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},
}
-
A calculus for non-smooth shape optimization with applications to geometric inverse problems
Chapter
Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics(172), p.101-120 · 2022
doi:10.1007/978-3-030-79393-7_5
BibLaTeX
@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},
NUMBER = {172},
PAGES = {101--120},
SERIES = {International Series of Numerical Mathematics},
TITLE = {A calculus for non-smooth shape optimization with applications to geometric inverse problems},
}
-
New duality results for evenly convex optimization problems
Article
María Dolores Fajardo, Sorin-Mihai Grad and
José Vidal
Optimization 70(9), p.1837-1858 · 2021
arXiv:1904.10478
doi:10.1080/02331934.2020.1756287
BibLaTeX
@ARTICLE{FajardoGradVidal:2020:1,
AUTHOR = {Fajardo, María Dolores and Grad, Sorin-Mihai and Vidal, José},
PUBLISHER = {Informa UK Limited},
DATE = {2021-09},
DOI = {10.1080/02331934.2020.1756287},
EPRINT = {1904.10478},
EPRINTTYPE = {arXiv},
JOURNALTITLE = {Optimization},
NUMBER = {9},
PAGES = {1837--1858},
TITLE = {New duality results for evenly convex optimization problems},
VOLUME = {70},
}
-
Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
Article
Foundations of Computational Mathematics 21(6), p.1465-1504 · 2021
arXiv:1908.02022
doi:10.1007/s10208-020-09486-5
BibLaTeX
@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},
}
-
Total variation of the normal vector field as shape prior
Article
Inverse Problems 36(5) · 2020
arXiv:1902.07240
doi:10.1088/1361-6420/ab6d5b
BibLaTeX
@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},
EID = {054004},
TITLE = {Total variation of the normal vector field as shape prior},
VOLUME = {36},
}
-
Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems
Article
Inverse Problems 36(5) · 2020
arXiv:1908.07916
doi:10.1088/1361-6420/ab6d5c
BibLaTeX
@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},
EID = {054003},
TITLE = {Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems},
VOLUME = {36},
}
-
Geometry processing problems using the total variation of the normal vector field
Proceedings
Proceedings in Applied Mathematics and Mechanics 19(1) · 2019
doi:10.1002/pamm.201900189
BibLaTeX
@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},
}
