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. 
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     title = {Approximate recovery of a~function given in a~domain with low refraction from the ray integrals of the function},
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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/

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