Research
Publications
- Zakaria Belhachmi and Thomas Jacumin. “Adjoint Method in PDE-Based Image Compression.” Asymptotic Analysis, October 7, 2024, 1–28. doi: 10.3233/ASY-241944.
- Zakaria Belhachmi and Thomas Jacumin. “Optimal interpolation data for PDE-based compression of images with noise”. en. In: Communications in Nonlinear Science and Numerical Simulation 109 (June 2022), p. 106278. issn: 1007-5704. doi: 10.1016/j.cnsns.2022.106278.
Preprints
- Zakaria Belhachmi and Thomas Jacumin. Optimal Transport Model of Optical Flow Estimation: Constant and Varying Illumination Cases. hal:04829141. Dec. 2024. hal: hal-04829141.
- Thomas Jacumin and Andreas Langer. An Adaptive Finite Difference Method for Total Variation Minimization. arXiv:2410.13608. Oct. 2024. doi: 10.48550/arXiv.2410.13608 (Submitted).
- Zakaria Belhachmi and Thomas Jacumin. Iterative Approach to Image Compression with Noise : Optimizing Spatial and Tonal Data. arXiv:2209.14706. Sept. 2022. doi: 10.48550/arXiv.2209.14706.
Software
- Thomas Jacumin. "thomasjacumin/optical-flow-optimal-transport: v1.0." Zenodo, December 10, 2024. doi: 10.5281/ZENODO.14358739.
- Thomas Jacumin. "thomasjacumin/Adaptive-L1-L2-Tv: Second Release." Zenodo, October 17, 2024. doi: 10.5281/ZENODO.13946439.
- Thomas Jacumin. "thomasjacumin/Vcodec-Lp: V2." Zenodo, September 22, 2024. doi: 10.5281/ZENODO.13825644.