39 citations · 119 across the 26 of their papers we have counts for
18 papers · 1 filter
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…
On the range of the -ray transform of symmetric tensors compactly supported in the plane
Kamran Sadiq, Alexandru Tamasan
We find the necessary and sufficient conditions on the Fourier coefficients of a function on the torus to be in the range of the -ray transform of a symmetric tensor of comp…
On the range of the planar -ray transform on the Fourier lattice of the torus
Kamran Sadiq, Alexandru Tamasan
We find necessary and sufficient conditions on the Fourier coefficients of a function on the torus to be in the range of the -ray transform of functions with compact support…
A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We consider an inverse source problem in the stationary radiating transport through a two dimensional absorbing and scattering medium. Of specific interest, the exiting radiation i…
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We revisit the inverse source problem in a two dimensional absorbing and scattering medium and present a non-iterative reconstruction method using measurements of the radiating flu…