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Subpixel smoothing by floating grids for ring artefact reduction in fan-beam tomography
Numerical methods and programming, Tome 15 (2014) no. 4, pp. 726-731 Cet article a éte moissonné depuis la source Math-Net.Ru

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The distinctions between the artifacts of the tomographic data acquisition systems with parallel and fan-beam geometry are studied. A new method for suppressing such artifacts on the basis of subpixel smoothing by floating grids is proposed. A non-iterative algorithm based on the classical Shepp–Logan method of filtered back-projection with random shifts (within fractions of a pixel) of each detector element or each pixel of a tomogram is developed. According to the results of mathematical simulation using a variety of models, it is shown that the level of ring artifacts can be reduced by subpixel smoothing comparable to the existing methods of artifact suppression.
Keywords: inverse problems, gas flow tomography, numerical algorithms, fan-beam tomography, tomogram artifacts, subpixel smoothing, Shepp-Logan filter. 
@article{VMP_2014_15_4_a16,
     author = {V. V. Pickalov},
     title = {Subpixel smoothing by floating grids for ring artefact reduction in fan-beam tomography},
     journal = {Numerical methods and programming},
     pages = {726--731},
     year = {2014},
     volume = {15},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a16/}
}
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V. V. Pickalov. Subpixel smoothing by floating grids for ring artefact reduction in fan-beam tomography. Numerical methods and programming, Tome 15 (2014) no. 4, pp. 726-731. http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a16/