Inversion of the V-Radon transform in a circle on incomplete data
Daghestan Electronic Mathematical Reports, Tome 10 (2018), pp. 61-65
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New inversion formulas for the integral transformation on two-parameter families of polyhedrons in a circle are obtained.
The first formula is obtained by the Cormac method of Fourier series expansions, the second one is based on the function interpolation theorem with finite Fourier transform.
Keywords:
$V$-Radon transform, inversion formula, Fourier series, limited angular range.
@article{DEMR_2018_10_a5,
author = {Z. G. Medzhidov and Sh. M. Gammadov},
title = {Inversion of the {V-Radon} transform in a circle on incomplete data},
journal = {Daghestan Electronic Mathematical Reports},
pages = {61--65},
publisher = {mathdoc},
volume = {10},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DEMR_2018_10_a5/}
}
TY - JOUR AU - Z. G. Medzhidov AU - Sh. M. Gammadov TI - Inversion of the V-Radon transform in a circle on incomplete data JO - Daghestan Electronic Mathematical Reports PY - 2018 SP - 61 EP - 65 VL - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DEMR_2018_10_a5/ LA - ru ID - DEMR_2018_10_a5 ER -
Z. G. Medzhidov; Sh. M. Gammadov. Inversion of the V-Radon transform in a circle on incomplete data. Daghestan Electronic Mathematical Reports, Tome 10 (2018), pp. 61-65. http://geodesic.mathdoc.fr/item/DEMR_2018_10_a5/