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Tomographic reconstruction from a few views: a multi-marginal optimal transport approach

Abraham, Isabelle; Abraham, Romain; Bergounioux, Maïtine; Carlier, Guillaume (2017), Tomographic reconstruction from a few views: a multi-marginal optimal transport approach, Applied Mathematics and Optimization, 75, 1, p. 55-73. 10.1007/s00245-015-9323-3

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01065981
Date
2017
Journal name
Applied Mathematics and Optimization
Volume
75
Number
1
Publisher
Springer
Published in
Paris
Pages
55-73
Publication identifier
Metadata
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Author(s)
Abraham, Isabelle
Abraham, Romain
Bergounioux, Maïtine
Carlier, Guillaume
Abstract (EN)
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.
Subjects / Keywords
tomographic reconstruction; multi-marginal optimal transport