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Titolo:
A FORMULATION IN CONCORDANCE WITH THE SAMPLING THEOREM FOR BAND-LIMITED IMAGES RECONSTRUCTION FROM PROJECTIONS
Autore:
LEROUX J; LISE P; ZERBIB E; FOGUET M;
Indirizzi:
UNIV NICE,CNRS,13S,BAT 4,250 RUE A EINSTEIN F-06560 VALBONNE FRANCE
Titolo Testata:
Multidimensional systems and signal processing
fascicolo: 1, volume: 7, anno: 1996,
pagine: 27 - 52
SICI:
0923-6082(1996)7:1<27:AFICWT>2.0.ZU;2-T
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 BAND-LIMITED IMAGES RECONSTRUCTION FROM PROJECTIONS", Multidimensional systems and signal processing, 7(1), 1996, pp. 27-52

Abstract

A rigorous method for band-limited 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 1D-convolution/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.

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Documento generato il 06/04/20 alle ore 08:37:52