13 citations · 28 across the 17 of their papers we have counts for
17 papers
On a quantitative partial imaging problem in vector tomography
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
In two dimensions, we consider the problem of reconstructing a vector field from partial knowledge of its zeroth and first moment ray transforms. Different from existing works the…
Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach
Yakun Dong, Kamran Sadiq, Otmar Scherzer +1
We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering probl…
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…