39 citations · 119 across the 26 of their papers we have counts for
28 papers
A probabilistic model of X-ray computed tomography
Tyler Gomez, Jason Swanson, Alexandru Tamasan
We consider a discrete stochastic process, indexed by lines through the unit disk in the plane, which models the observed photon counts in a medical X-ray tomography scan. We first…
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…
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…
Numerical reconstruction of radiative sources from partial boundary measurements
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We consider an inverse source problem in the stationary radiative transport through an absorbing and scattering medium in two dimensions. Using the angularly resolved radiation mea…