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Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach

I. Abraham 1 R. Abraham 2 M. Bergounioux 2 G. Carlier 3
1 DSSI - Département des Sciences de la Simulation et de l'Information
DAM/DIF - DAM Île-de-France : DAM/DIF
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
Abstract : In this article, we focus on tomographic reconstruction. The problem is to determine the shape of the interior interface using a tomographic approach while very few X-ray radiographs are performed. We use a multi-marginal optimal transport approach. Preliminary numerical results are presented.
Keywords : tomographic reconstruction multi-marginal optimal transport
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https://hal.archives-ouvertes.fr/hal-01065981
Contributor : Maïtine Bergounioux <>
Submitted on : Wednesday, December 9, 2015 - 6:22:48 PM
Last modification on : Wednesday, February 19, 2020 - 9:01:37 AM
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I. Abraham, R. Abraham, M. Bergounioux, G. Carlier. Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach. Applied Mathematics and Optimization, Springer Verlag (Germany), 2017, 75 (1), pp.55-73. ⟨10.1007/s00245-015-9323-3⟩. ⟨hal-01065981v3⟩

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