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On the extremal points of the ball of the Benamou–Brenier energy
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Spatiotemporal imaging with diffeomorphic optimal transportation
Template-Based Image Reconstruction from Sparse Tomographic Data
Lukas F. Lang, Sebastian Neumayer, Ozan Öktem and Carola-Bibiane Schönlieb Applied Mathematics & Optimization 82(3) 1081 (2020) https://doi.org/10.1007/s00245-019-09573-2
Geometric Partial Differential Equations - Part I
Behrend Heeren, Martin Rumpf, Max Wardetzky and Benedikt Wirth Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part I 21 621 (2020) https://doi.org/10.1016/bs.hna.2019.06.005
Regularization of inverse problems via time discrete geodesics in image spaces
Unbalanced optimal transport: Dynamic and Kantorovich formulations
Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer and François-Xavier Vialard Journal of Functional Analysis 274(11) 3090 (2018) https://doi.org/10.1016/j.jfa.2018.03.008
An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics
Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer and François-Xavier Vialard Foundations of Computational Mathematics 18(1) 1 (2018) https://doi.org/10.1007/s10208-016-9331-y
Scale Space and Variational Methods in Computer Vision
Jan Maas, Martin Rumpf and Stefan Simon Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 10302 563 (2017) https://doi.org/10.1007/978-3-319-58771-4_45
Transport Between RGB Images Motivated by Dynamic Optimal Transport