3 papers
math.AP2024
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…
math.AP2024
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…
math.AP2024
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…