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Article Dans Une Revue Applied Mathematics and Optimization Année : 2017

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

Résumé

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.
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Dates et versions

hal-01065981 , version 1 (18-09-2014)
hal-01065981 , version 2 (21-04-2015)
hal-01065981 , version 3 (09-12-2015)

Identifiants

Citer

I. Abraham, R. Abraham, M. Bergounioux, Guillaume Carlier. Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach. Applied Mathematics and Optimization, 2017, 75 (1), pp.55-73. ⟨10.1007/s00245-015-9323-3⟩. ⟨hal-01065981v3⟩
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