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Titolo:
Theoretical analysis of the effects of noise on diffusion tensor imaging
Autore:
Anderson, AW;
Indirizzi:
Yale Univ, Sch Med, Dept Diagnost Radiol, New Haven, CT 06510 USA Yale Univ New Haven CT USA 06510 Diagnost Radiol, New Haven, CT 06510 USA Yale Univ, Sch Med, Dept Appl Phys, New Haven, CT 06510 USA Yale Univ NewHaven CT USA 06510 Dept Appl Phys, New Haven, CT 06510 USA
Titolo Testata:
MAGNETIC RESONANCE IN MEDICINE
fascicolo: 6, volume: 46, anno: 2001,
pagine: 1174 - 1188
SICI:
0740-3194(200112)46:6<1174:TAOTEO>2.0.ZU;2-D
Fonte:
ISI
Lingua:
ENG
Soggetto:
WHITE-MATTER; WATER DIFFUSION; HUMAN BRAIN; SPIN-ECHO; ANISOTROPY; MRI; TRACKING;
Keywords:
diffusion tensor; noise; fiber tracking;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Clinical Medicine
Life Sciences
Citazioni:
29
Recensione:
Indirizzi per estratti:
Indirizzo: Anderson, AW Yale Univ, Sch Med, Dept Diagnost Radiol, 333 Cedar St,FitkinF10, New Haven, CT 06510 USA Yale Univ 333 Cedar St,Fitkin F10 New Haven CT USA 06510 USA
Citazione:
A.W. Anderson, "Theoretical analysis of the effects of noise on diffusion tensor imaging", MAGN RES M, 46(6), 2001, pp. 1174-1188

Abstract

A theoretical framework is presented for understanding the effects of noise on estimates of the eigenvalues and eigenvectors of the diffusion tensor at moderate to high signal-to-noise ratios. Image noise produces a random perturbation of the diffusion tensor. Power series solutions to the eigenvalue equation are used to evaluate the effects of the perturbation to second order. It is shown that in anisotropic systems the expectation value of thelargest eigenvalue is overestimated and the lowest eigenvalue is underestimated. Hence, diffusion anisotropy is overestimated in general. This resultis independent of eigenvalue sorting bias. Furthermore, averaging eigenvalues over a region of interest produces greater bias than averaging tensors prior to diagonalization. Finally, eigenvector noise is shown to depend on the eigenvalue contrast and imposes a theoretical limit on the accuracy of simple fiber tracking schemes. The theoretical results are shown to agree with Monte Carlo simulations. (C) 2001 Wiley-Liss, Inc.

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Documento generato il 02/10/20 alle ore 00:55:22