Improving Analytical Tomographic Reconstructions Through Consistency Conditions

Issue title: An overview of Tomography and Applications

Guest editors: Paolo Dulio, Andrea Frosini and Grzegorz Rozenberg

Article type: Research Article

Authors: Arcadu, Filippo^{; *} | Vogel, Jakob | Stampanoni, Marco | Marone, Federica

Affiliations: Institute for Biomedical Engineering, ETH Zurich, 8092 Zurich, Switzerland, Swiss Light Source, Paul Scherrer Institute, 5232 Villigen, Switzerland. filippo.arcadu@gmail.com, Jakob.Vogel@psi.ch, stampanoni@biomed.ee.ethz.ch, federica.marone@psi.ch

Correspondence: [*] Address for correspondence: Institute for Biomedical Engineering, ETH Zurich, 8092 Zurich, Switzerland, Swiss Light Source, Paul Scherrer Institute, 5232 Villigen, Switzerland

Abstract: This work introduces and characterizes a fast parameterless filter based on the Helgason-Ludwig consistency conditions, used to improve the accuracy of analytical reconstructions of tomographic undersampled datasets. The filter, acting in the Radon domain, extrapolates intermediate projections between those existing. The resulting sinogram, doubled in views, is then reconstructed by a standard analytical method. Experiments with simulated and real data prove that the peak-signal-to-noise ratio of the results computed by filtered backprojection is improved up to 5–6 dB, if the filter is used prior to reconstruction.

Keywords: Tomography, analytical reconstruction algorithms, consistency conditions

DOI: 10.3233/FI-2017-1589

Journal: Fundamenta Informaticae, vol. 155, no. 4, pp. 341-361, 2017