Numerical Reconstruction of a Two-Dimensional Vector Field
from Its Momentum Ray Transforms
摘要
Abstract
The algorithms for reconstructing a vector field from its known longitudinal or transverseray transforms of its moment are proposed and justified. The properties of several algorithms arestudied depending on the degree of data discretization, the level and type of noise introduced intothe data, the smoothness of the vector field, and the degree of connectivity of its support.Numerical simulations show good results of reconstructing vector fields from their momentum raytransforms.