Geodesic
Algorithm of reconstruction of three-dimensional images in X-ray computed tomography with a cone beam
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 14 (2021) no. 1, pp. 104-117

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An algorithm for reconstructing three-dimensional images for X-ray computed tomography with a cone beam of radiation is developed. The algorithm is based on an accurate analytical representation of the three-dimensional Radon transformation of the projection data. For this representation, an iteration-invariant point scattering function (FRT) is introduced. The proposed algorithm overcomes the main drawback of approximate algorithms-it provides a sufficiently high quality of the obtained images even at large angles of the radiation cone, which is manifested in a relatively small number of image artefacts. The quality of the reconstructed tomographic images was evaluated.
Keywords: X-ray computed tomography, two-dimensional and three-dimensional Radon transformation, three-dimensional image reconstruction algorithms in a cone beam of radiation. 
@article{VYURU_2021_14_1_a7,
     author = {E. Simonov and A. V. Prokhorov},
     title = {Algorithm of reconstruction of three-dimensional images in {X-ray} computed tomography with a cone beam},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {104--117},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2021_14_1_a7/}
}
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E. Simonov; A. V. Prokhorov. Algorithm of reconstruction of three-dimensional images in X-ray computed tomography with a cone beam. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 14 (2021) no. 1, pp. 104-117. http://geodesic.mathdoc.fr/item/VYURU_2021_14_1_a7/