Geodesic
Approximate recovery of a~function given in a~domain with low refraction from the ray integrals of the function
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 48-59

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We suggest an approach to the recovery of a function given in a Riemannian domain with low refraction from the ray integrals of the function. We construct an inversion algorithm with the use of the back-projection operator and the fast Fourier transform. The algorithm is investigated by numerical methods.
Keywords: tomography, ray transform, back-projection operator
Mots-clés : refraction, inversion formula, fast Fourier transform. 
@article{SJIM_2014_17_4_a4,
     author = {E. Yu. Derevtsov and S. V. Maltseva and I. E. Svetov},
     title = {Approximate recovery of a~function given in a~domain with low refraction from the ray integrals of the function},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {48--59},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a4/}
}
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E. Yu. Derevtsov; S. V. Maltseva; I. E. Svetov. Approximate recovery of a~function given in a~domain with low refraction from the ray integrals of the function. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 48-59. http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a4/