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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2021, Volume 14, Issue 1, Pages 104–117 (Mi vyuru585)  

Programming & Computer Software

Algorithm of reconstruction of three-dimensional images in X-ray computed tomography with a cone beam

E. Simonov, A. V. Prokhorov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: 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.

DOI: https://doi.org/10.14529/mmp210108

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UDC: 519.6
MSC: 68X00
Received: 28.03.2020

Citation: E. Simonov, A. V. Prokhorov, “Algorithm of reconstruction of three-dimensional images in X-ray computed tomography with a cone beam”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021), 104–117

Citation in format AMSBIB
\Bibitem{SimPro21}
\by E.~Simonov, A.~V.~Prokhorov
\paper Algorithm of reconstruction of three-dimensional images in X-ray computed tomography with a cone beam
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2021
\vol 14
\issue 1
\pages 104--117
\mathnet{http://mi.mathnet.ru/vyuru585}
\crossref{https://doi.org/10.14529/mmp210108}


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