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math.NA2025
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…
math.NA2024
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…