Latest publications
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The Riemannian convex bundle method2024
bibtex
@ONLINE{BergmannHerzogJasa:2024:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland and Jasa, Hajg}, DATE = {2024}, EPRINT = {2402.13670}, EPRINTTYPE = {arXiv}, TITLE = {The Riemannian convex bundle method}, }
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Total generalized variation for piecewise constant functions on triangular meshes with applications in imagingSIAM Journal on Imaging Sciences 16(1), p.313-339, 2023
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@ARTICLE{BaumgaertnerBergmannHerzogSchmidtVidalNunez:2023:1, AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núnez, 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}, }
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First- and second-order analysis for optimization problems with manifold-valued constraintsJournal of Optimization Theory and Applications 195(2), p.596-623, 2022
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@ARTICLE{BergmannHerzogOrtizLopezSchiela:2022:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland and Ortiz López, Julián and Schiela, Anton}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2022-09}, DOI = {10.1007/s10957-022-02107-x}, EPRINT = {2110.04882}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {2}, PAGES = {596--623}, TITLE = {First- and second-order analysis for optimization problems with manifold-valued constraints}, VOLUME = {195}, }
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Fenchel duality and a separation theorem on Hadamard manifoldsSIAM Journal on Optimization 32(2), p.854-873, 2022
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@ARTICLE{SilvaLouzeiroBergmannHerzog:2022:1, AUTHOR = {Silva Louzeiro, Maurício and Bergmann, Ronny and Herzog, Roland}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2022-05}, DOI = {10.1137/21m1400699}, EPRINT = {2102.11155}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {2}, PAGES = {854--873}, TITLE = {Fenchel duality and a separation theorem on Hadamard manifolds}, VOLUME = {32}, }
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Fenchel duality theory and a primal-dual algorithm on Riemannian manifoldsFoundations of Computational Mathematics 21(6), p.1465-1504, 2021
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@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}, }
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Mesh denoising and inpainting using the total variation of the normal2020
bibtex
@ONLINE{BaumgaertnerBergmannHerrmannHerzogSchmidtVidalNunez:2020:1, AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José}, DATE = {2020}, EPRINT = {2012.11748}, EPRINTTYPE = {arXiv}, TITLE = {Mesh denoising and inpainting using the total variation of the normal}, }
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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}, }
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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}, }