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

作者：Abraham I; Abraham R; Bergounioux M; Carlier G

来源：Applied Mathematics and Optimization, 2017, 75(1): 55-73.

DOI：10.1007/s00245-015-9323-3

• Tomographic reconstruction
• Multi-marginal optimal transport
• Variational method
• Inverse problem
• Optimization

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.

• 出版日期2017-2
• 单位中国地震局