Latest publications
-
A calculus for non-smooth shape optimization with applications to geometric inverse problemsNon-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics, p.101-120, 2022
bibtex
@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}, PAGES = {101--120}, SERIES = {International Series of Numerical Mathematics}, TITLE = {A calculus for non-smooth shape optimization with applications to geometric inverse problems}, }
-
Fenchel duality theory and a primal-dual algorithm on Riemannian manifoldsFoundations of Computational Mathematics 21(6), p.1465-1504, 2021
bibtex
@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}, }
-
Mesh denoising and inpainting using the total variation of the normal,
2020
bibtex
@ONLINE{BaumgaertnerBergmannHerzogSchmidtVidalNunezWeiss:2020:1, AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Weiß, Manuel}, DATE = {2020-12}, EPRINT = {2012.11748}, EPRINTTYPE = {arXiv}, TITLE = {Mesh denoising and inpainting using the total variation of the normal}, }
-
New duality results for evenly convex optimization problemsOptimization, p.1-22, 2020
bibtex
@ARTICLE{FajardoGradVidal:2020:1, AUTHOR = {Fajardo, María Dolores and Grad, Sorin-Mihai and Vidal, José}, PUBLISHER = {Informa UK Limited}, DATE = {2020-04}, DOI = {10.1080/02331934.2020.1756287}, EPRINT = {1904.10478}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Optimization}, PAGES = {1--22}, TITLE = {New duality results for evenly convex optimization problems}, }
-
Total variation of the normal vector field as shape priorInverse Problems 36(5), p.054004, 2020
bibtex
@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}, PAGES = {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 problemsInverse Problems 36(5), p.054003, 2020
bibtex
@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}, PAGES = {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 fieldProceedings in Applied Mathematics and Mechanics 19(1), 2019
bibtex
@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}, }
-
Discrete total variation with finite elements and applications to imagingJournal of Mathematical Imaging and Vision 61(4), p.411-431, 2019
bibtex
@ARTICLE{HerrmannHerzogSchmidtVidalNunezWachsmuth:2019:1, AUTHOR = {Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Wachsmuth, Gerd}, DATE = {2019}, DOI = {10.1007/s10851-018-0852-7}, EPRINT = {1804.07477}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Mathematical Imaging and Vision}, NUMBER = {4}, PAGES = {411--431}, TITLE = {Discrete total variation with finite elements and applications to imaging}, VOLUME = {61}, }