Reconstruction of a singular support of a tensor field given in refractive medium by its ray transform

We propose approaches to a numerical solution for the reconstruction problem of a singular support of a tensor field by its known ray transform. For the posed problem solving we use back-projection operators acting on the ray transforms and tensor analysis methods for Riemannian manifold. Indicator operators of the medium inhomogeneity are constructed and allow allocate the sets of points belonging to the singular support of scalar, vector and tensor fields. The algorithms for solving of the posed problem are proposed and realized.