Tensor tomography: progress and challenges

Abstract

We survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. We also propose several open problems.

30 pages

References in corpus (4)

• The inverse problem for the local geodesic ray transform
• Tensor tomography on surfaces
• The X-ray transform on a general family of curves on Finsler surfaces
• On the range of the attenuated ray transform for unitary connections

Cited by in corpus (1)

• On the broken ray transform