학술논문

Approximate reconstruction from ray integrals of a function on a domain with low refraction
Document Type
Original Paper
Source
Journal of Applied and Industrial Mathematics. January 2015 9(1):36-46
Subject
tomography
refraction
ray transform
back-projection operator
inversion formula
fast Fourier transform
Language
English
ISSN
1990-4789
1990-4797
Abstract
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.