Abstract:
The algorithms for reconstructing a vector field from known longitudinal or transverse ray transforms of its moment are proposed and justified. The properties of several algorithms are studied depending on the degree of data discretization, the level and type of noise introduced into the 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 ray transforms.
Keywords:vector field, momentum ray transform, differential property of ray transforms, reconstruction algorithm, approximation, numerical simulation.
Fulltext:
PDF file (1315 kB)