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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 Guillaume 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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Submitted on : Wednesday, December 9, 2015 - 6:22:48 PM
Last modification on : Tuesday, January 18, 2022 - 3:23:56 PM
Long-term archiving on: : Saturday, April 29, 2017 - 8:44:54 AM

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I. Abraham, R. Abraham, M. Bergounioux, Guillaume 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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