5 papers
Inversion of the exponential X-ray transform of symmetric 2-tensors
David Omogbhe
A unique inversion of the exponential X-ray transform of some class of symmetric 2-tensor field in a two dimensional strictly convex set is considered. The approach to inversion is…
Inversion of the attenuated momenta ray transform of planar symmetric tensors
Hiroshi Fujiwara, David Omogbhe, Kamran Sadiq +1
We present a reconstruction method that stably recovers the real valued, symmetric tensors compactly supported in the Euclidean plane, from knowledge of their attenuated momenta ra…
Inversion of the Momenta Doppler Transform in two dimensions
Hiroshi Fujiwara, David Omogbhe, Kamran Sadiq +1
We introduce an analytic method which stably reconstructs both components of a (sufficiently) smooth, real valued, vector field compactly supported in the plane from knowledge of i…
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium
David Omogbhe, Kamran Sadiq
We consider in a two dimensional absorbing and scattering medium, an inverse source problem in the stationary radiative transport, where the source is linearly anisotropic. The med…
On the -ray transform of symmetric higher order tensors
David Omogbhe, Kamran Sadiq
In this article we characterize the range of the attenuated and non-attenuated -ray transform of compactly supported symmetric tensor fields in the Euclidean plane. The characte…