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

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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.

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Authors and Affiliations

  1. CEA Ile de France, BP 12, 91680, Bruyères le Châtel, France

    I. Abraham

  2. Université d’Orléans, UFR Sciences, MAPMO, UMR 7349, Route de Chartres, BP 6759, 45067, Orléans Cedex 2, France

    R. Abraham & M. Bergounioux

  3. CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, Pl. de Lattre de Tassigny, 75775, Paris Cedex 16, France

    G. Carlier

Authors
  1. I. Abraham
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  2. R. Abraham
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  3. M. Bergounioux
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  4. G. Carlier
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Correspondence to M. Bergounioux.

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Abraham, I., Abraham, R., Bergounioux, M. et al. Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach. Appl Math Optim 75, 55–73 (2017). https://doi.org/10.1007/s00245-015-9323-3

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  • DOI: https://doi.org/10.1007/s00245-015-9323-3

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