caa a22 4500 477094082 CHVBK 20180405111522.0 cr unu---uuuuu 170330e19960101xx s 000 0 eng 10.1007/BF02106105 doi (NATIONALLICENCE)springer-10.1007/BF02106105 A formulation in concordance with the sampling theorem for band-limited images reconstruction from projections [Elektronische Daten] [Joël Le Roux, Patrick Lise, Eric Zerbib, Manel Foguet] A rigorous method for band-limited images reconstruction from sampled projections is presented. The problem is formulated as the minimization of a quadratic criterion expressed in the frequency domain; consequences of spectral support limitation and sampling are taken into account. Then, the optimal reconstruction is obtained in two steps: a classical 1D-convolution/backprojection followed by the computation of the solution of a 2D convolution equation. The proposed solution for this second step is based on a conjugate gradient method. In both steps, the computations are performed in the frequency domain. This reduces the number of computations and allows the execution in a reasonable amount of time. A particular choice of the weights establishes a link between this approach and Radon's classical backprojection method: the classical method is optimal when the number of projections is infinite. In practice, the method proposed here improves the results obtained when computing an estimate of the solution by backprojections from a finite number of samples and projections when the projections are noisefree. Kluwer Academic Publishers, 1996 Le Roux Joël 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut Lise Patrick 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut Zerbib Eric 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut Foguet Manel 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/1(1996-01-01), 27-52 0923-6082 7:1<27 1996 7 11045 https://doi.org/10.1007/BF02106105 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02106105 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Le Roux Joël 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut NATIONALLICENCE 700 1- Lise Patrick 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut NATIONALLICENCE 700 1- Zerbib Eric 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut NATIONALLICENCE 700 1- Foguet Manel 13S, University of Nice, CNRS, bat. 4, 250 rue A. Einstein, Sophia Antipolis, 06560, Valbonne, France aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/1(1996-01-01), 27-52 0923-6082 7:1<27 1996 7 11045 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer