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

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.

Authors:
 [1]; ;  [2];  [3]
  1. CEA Ile de France (France)
  2. Université d’Orléans, UFR Sciences, MAPMO, UMR 7349 (France)
  3. CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, Pl. de Lattre de Tassigny (France)
Publication Date:
OSTI Identifier:
22617102
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Mathematics and Optimization; Journal Volume: 75; Journal Issue: 1; Other Information: Copyright (c) 2017 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; IMAGE PROCESSING; IMAGES; INTERFACES; TOMOGRAPHY; TRANSPORT THEORY; X RADIATION; X-RAY RADIOGRAPHY

Citation Formats

Abraham, I., E-mail: isabelle.abraham@cea.fr, Abraham, R., E-mail: romain.abraham@univ-orleans.fr, Bergounioux, M., E-mail: maitine.bergounioux@univ-orleans.fr, and Carlier, G., E-mail: carlier@ceremade.dauphine.fr. Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach. United States: N. p., 2017. Web. doi:10.1007/S00245-015-9323-3.
Abraham, I., E-mail: isabelle.abraham@cea.fr, Abraham, R., E-mail: romain.abraham@univ-orleans.fr, Bergounioux, M., E-mail: maitine.bergounioux@univ-orleans.fr, & Carlier, G., E-mail: carlier@ceremade.dauphine.fr. Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach. United States. doi:10.1007/S00245-015-9323-3.
Abraham, I., E-mail: isabelle.abraham@cea.fr, Abraham, R., E-mail: romain.abraham@univ-orleans.fr, Bergounioux, M., E-mail: maitine.bergounioux@univ-orleans.fr, and Carlier, G., E-mail: carlier@ceremade.dauphine.fr. Wed . "Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach". United States. doi:10.1007/S00245-015-9323-3.
@article{osti_22617102,
title = {Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach},
author = {Abraham, I., E-mail: isabelle.abraham@cea.fr and Abraham, R., E-mail: romain.abraham@univ-orleans.fr and Bergounioux, M., E-mail: maitine.bergounioux@univ-orleans.fr and Carlier, G., E-mail: carlier@ceremade.dauphine.fr},
abstractNote = {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.},
doi = {10.1007/S00245-015-9323-3},
journal = {Applied Mathematics and Optimization},
number = 1,
volume = 75,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2017},
month = {Wed Feb 15 00:00:00 EST 2017}
}