A second order nonsmooth variational model for restoring manifold-valued images M Bacák, R Bergmann, G Steidl, A Weinmann SIAM Journal on Scientific Computing 38 (1), A567-A597, 2016 | 106 | 2016 |
Restoration of manifold-valued images by half-quadratic minimization R Bergmann, RH Chan, R Hielscher, J Persch, G Steidl arXiv preprint arXiv:1505.07029, 2015 | 80 | 2015 |
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds R Bergmann, R Herzog SIAM Journal on Optimization 29 (4), 2423-2444, 2019 | 63 | 2019 |
A parallel Douglas–Rachford algorithm for minimizing ROF-like functionals on images with values in symmetric Hadamard manifolds R Bergmann, J Persch, G Steidl SIAM Journal on Imaging Sciences 9 (3), 901-937, 2016 | 55 | 2016 |
Second order differences of cyclic data and applications in variational denoising R Bergmann, F Laus, G Steidl, A Weinmann SIAM Journal on Imaging Sciences 7 (4), 2916-2953, 2014 | 51 | 2014 |
Manopt.jl: Optimization on Manifolds in Julia R Bergmann | 42 | 2022 |
Priors with coupled first and second order differences for manifold-valued image processing R Bergmann, JH Fitschen, J Persch, G Steidl Journal of mathematical imaging and vision 60, 1459-1481, 2018 | 39 | 2018 |
A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data R Bergmann, A Weinmann Journal of Mathematical Imaging and Vision 55, 401-427, 2016 | 32 | 2016 |
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve R Bergmann, PY Gousenbourger Frontiers in Applied Mathematics and Statistics 4, 59, 2018 | 28 | 2018 |
The fast Fourier transform and fast wavelet transform for patterns on the torus R Bergmann Applied and Computational Harmonic Analysis 35 (1), 39-51, 2013 | 28 | 2013 |
Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds R Bergmann, R Herzog, M Silva Louzeiro, D Tenbrinck, J Vidal-Núñez Foundations of Computational Mathematics 21 (6), 1465-1504, 2021 | 26 | 2021 |
A graph framework for manifold-valued data R Bergmann, D Tenbrinck SIAM Journal on Imaging Sciences 11 (1), 325-360, 2018 | 25 | 2018 |
Manifolds.jl: an extensible Julia framework for data analysis on manifolds SD Axen, M Baran, R Bergmann, K Rzecki ACM Transactions on Mathematical Software 49 (4), 1-23, 2023 | 18 | 2023 |
Iterative multiplicative filters for data labeling R Bergmann, JH Fitschen, J Persch, G Steidl International Journal of Computer Vision 123, 435-453, 2017 | 18 | 2017 |
Inpainting of cyclic data using first and second order differences R Bergmann, A Weinmann Energy Minimization Methods in Computer Vision and Pattern Recognition: 10th …, 2015 | 16 | 2015 |
MVIRT, a toolbox for manifold-valued image restoration R Bergmann 2017 IEEE International Conference on Image Processing (ICIP), 201-205, 2017 | 13 | 2017 |
Multivariate periodic wavelets of de la Vallée Poussin type R Bergmann, J Prestin Journal of Fourier Analysis and Applications 21, 342-369, 2015 | 12 | 2015 |
Fenchel duality and a separation theorem on Hadamard manifolds M Silva Louzeiro, R Bergmann, R Herzog SIAM Journal on Optimization 32 (2), 854-873, 2022 | 10 | 2022 |
Recent advances in denoising of manifold-valued images R Bergmann, F Laus, J Persch, G Steidl Handbook of Numerical Analysis 20, 553-578, 2019 | 9 | 2019 |
Infimal convolution coupling of first and second order differences on manifold-valued images R Bergmann, JH Fitschen, J Persch, G Steidl Scale Space and Variational Methods in Computer Vision: 6th International …, 2017 | 9 | 2017 |