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Title: Numerical solution of 2D-vector tomography problem using the method of approximate inverse

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.4959746· OSTI ID:22608264
; ;  [1]
  1. Sobolev Institute of Mathematics of SB RAS, 630090, Novosibirsk (Russian Federation)

We propose a numerical solution of reconstruction problem of a two-dimensional vector field in a unit disk from the known values of the longitudinal and transverse ray transforms. The algorithm is based on the method of approximate inverse. Numerical simulations confirm that the proposed method yields good results of reconstruction of vector fields.

OSTI ID:
22608264
Journal Information:
AIP Conference Proceedings, Vol. 1759, Issue 1; Conference: ICAAM 2016: International conference on analysis and applied mathematics, Almaty (Kazakhstan), 7-10 Sep 2016; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English