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Titolo: A FORMULATION IN CONCORDANCE WITH THE SAMPLING THEOREM FOR BANDLIMITED IMAGES RECONSTRUCTION FROM PROJECTIONS
Autore: LEROUX J; LISE P; ZERBIB E; FOGUET M;
 Indirizzi:
 UNIV NICE,CNRS,13S,BAT 4,250 RUE A EINSTEIN F06560 VALBONNE FRANCE
 Titolo Testata:
 Multidimensional systems and signal processing
fascicolo: 1,
volume: 7,
anno: 1996,
pagine: 27  52
 SICI:
 09236082(1996)7:1<27:AFICWT>2.0.ZU;2T
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 ITERATIVE RECONSTRUCTION; ALGORITHM; TOMOGRAPHY;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 CompuMath Citation Index
 Science Citation Index Expanded
 Science Citation Index Expanded
 Citazioni:
 26
 Recensione:
 Indirizzi per estratti:



 Citazione:
 J. Leroux et al., "A FORMULATION IN CONCORDANCE WITH THE SAMPLING THEOREM FOR BANDLIMITED IMAGES RECONSTRUCTION FROM PROJECTIONS", Multidimensional systems and signal processing, 7(1), 1996, pp. 2752
Abstract
A rigorous method for bandlimited images reconstruction from sampledprojections 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 1Dconvolution/backprojecrion 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 thenumber 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. Inpractice, the method proposed here improves the results obtained whencomputing an estimate of the solution by backprojections from a finite number of samples and projections when the projections are noisefree.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 06/04/20 alle ore 08:37:52