Аннотация:
We propose two approaches for numerical solution of reconstruction problem of a vector field in an unit disk from the known values of longitudinal and transverse ray transforms. The algorithms are based on the method of approximate inverse. Numerical simulations show that the proposed algorithms yield good results of reconstruction of vector fields.
Ключевые слова:vector tomography, method of approximate inverse, longitudinal ray transform, transverse ray transform, Radon transform, solenoidal vector field, potential vector field, potential, numerical simulation.