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Titolo:
THE APPROXIMATE INVERSE AND CONJUGATE-GRADIENT - NONSYMMETRICAL ALGORITHMS FOR FAST ATTENUATION CORRECTION IN SPECT
Autore:
RIDDELL C; BENDRIEM B; BOURGUIGNON MH; KERNEVEZ JP;
Indirizzi:
SERV HOSP FREDERIC JOLIOT,4 PL GEN LECLERC F-91406 ORSAY FRANCE UNIV TECHNOL COMPIEGNE,DIV APPL MATH F-60206 COMPIEGNE FRANCE
Titolo Testata:
Physics in medicine and biology
fascicolo: 2, volume: 40, anno: 1995,
pagine: 269 - 281
SICI:
0031-9155(1995)40:2<269:TAIAC->2.0.ZU;2-M
Fonte:
ISI
Lingua:
ENG
Soggetto:
EMISSION COMPUTED-TOMOGRAPHY; RECONSTRUCTION ALGORITHMS; IMAGE-RECONSTRUCTION; FRAMEWORK; MATRIX;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
28
Recensione:
Indirizzi per estratti:
Citazione:
C. Riddell et al., "THE APPROXIMATE INVERSE AND CONJUGATE-GRADIENT - NONSYMMETRICAL ALGORITHMS FOR FAST ATTENUATION CORRECTION IN SPECT", Physics in medicine and biology, 40(2), 1995, pp. 269-281

Abstract

Hybrid methods have been known for a long time as very efficient algorithms for attenuation correction in single-photon emission computed tomography, but only recently have efforts been made to formulate them with more rigorous mathematics. This has allowed us to explain their efficiency in terms of approximate inversion, and to establish a convergence condition. The present study focuses on the convergence problem and emphasizes the question of symmetry. Hybrid method operators ate not symmetrical; therefore the convergence condition is not easily verified. New schemes based on a modified conjugate gradient method are presented. Convergence is proved and performances are shown to be at least as good as the standard hybrid schemes on perfect and noisy simulated data.

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Documento generato il 04/07/20 alle ore 21:07:30