Vestnik YuUrGU. Ser. Mat. Model. Progr., 2021, Volume 14, Issue 1, Pages 104–117
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
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.
X-ray computed tomography, two-dimensional and three-dimensional Radon transformation, three-dimensional image reconstruction algorithms in a cone beam of radiation.
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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 YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021), 104–117
Citation in format AMSBIB
\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.
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