DeepTV
- A Python-package for a neural network approach for total variation minimization can be found here.
This code is based on the paper:
- A. Langer and S. Behnamian, DeepTV: A neural network approach for total variation minimization, arXiv preprint ArXiv:2409.05569, 2024. [link]
Domain Decomposition for Total Variation Minimization
- A Julia-package for overlapping domain decomposition methods for a dual total variation problem can be found here.
This code is based on the paper:
-
S. Hilb and A. Langer, A General Decomposition Method for a Convex Problem Related to Total Variation Minimization, arXiv preprint ArXiv:2211.00101, 2022. [pdf][link]
- A Matlab-package for overlapping domain decomposition methods for total variation minimization can be found
here .
Finite Element Methods for Total Variation Minimization
- A Julia-package for a finite element method for scalar and vectorial total variation minimization can be found here.
This code is based on the papers:
- M. Alkämper, S. Hilb, and A. Langer, A primal-dual adaptive finite element method for total variation minimization, arXiv preprint ArXiv:2404.03125, 2024. [pdf][link]
- S. Hilb, A. Langer, and M. Alkämper, A primal-dual finite element method for scalar and vectorial total variation minimization, Journal of Scientific Computing, Vol. 96, No. 24, 2023. [pdf]
[link]
Adaptive Finite Difference Method for Total Variation Minimization
- A Python-package for an adaptive finite difference method for total variation minimization can be found here.
This code is based on the papers:
- T. Jacumin and A. Langer, An adaptive finite difference method for total variation minimization, Numerical Algorithms (2025) [link]