Approximate reconstruction from ray integrals of a function on a domain with low refraction

An approach is proposed for reconstruction from ray integrals of a function defined on a Riemannian domain with low refraction. Using the back-projection operator and the fast Fourier transform, an inversion algorithm is constructed for the ray transform and its numerical study is carried out.

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2015, Vol.9 (1), p.36-46
Main Authors: Derevtsov, E. Yu, Maltseva, S.V., Svetov, I. E.
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Construction industry
Electromagnetism
Fourier transforms
Integrals
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Reconstruction
Refraction
Studies
Tomography
Transforms
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Description
Summary:An approach is proposed for reconstruction from ray integrals of a function defined on a Riemannian domain with low refraction. Using the back-projection operator and the fast Fourier transform, an inversion algorithm is constructed for the ray transform and its numerical study is carried out.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478915010056