TY - JOUR

T1 - Anisotropic noise propagation in diffusion tensor MRI sampling schemes

AU - Batchelor, P G

AU - Atkinson, D

AU - Hill, D L G

AU - Calamante, F

AU - Connelly, A

PY - 2003/6/1

Y1 - 2003/6/1

N2 - The subject of this study is the controversial choice of directions in diffusion tensor MRI (DT-MRI); specifically, the numerical algebra related to this choice. In DT-MRI, apparent diffusivities are sampled in six or more directions and a least-squares equation is solved to reconstruct the diffusion tensor. Numerical characteristics of the system are considered, in particular the condition number and normal matrix, and are shown to be dependent on the relative orientation of the tensor with respect to the laboratory frame. As a consequence, noise propagation can be anisotropic. However, the class of icosahedral radirection schemes is an exception, and icosahedral directions have the same condition number and normal matrix for direction encoding as the ideal scheme with an infinite number of directions. This normal matrix and its condition number are rotationally invariant. Numerical simulations show that for icosahedral schemes with 30 directions the standard deviation of the fractional anisotropy is both low and nearly independent of fiber orientation. The recommended choice of directions for a DT-MRI experiment is therefore the icosahedral set of directions with the highest number of directions achievable in the available time. (C) 2003 Wiley-Liss, Inc.

AB - The subject of this study is the controversial choice of directions in diffusion tensor MRI (DT-MRI); specifically, the numerical algebra related to this choice. In DT-MRI, apparent diffusivities are sampled in six or more directions and a least-squares equation is solved to reconstruct the diffusion tensor. Numerical characteristics of the system are considered, in particular the condition number and normal matrix, and are shown to be dependent on the relative orientation of the tensor with respect to the laboratory frame. As a consequence, noise propagation can be anisotropic. However, the class of icosahedral radirection schemes is an exception, and icosahedral directions have the same condition number and normal matrix for direction encoding as the ideal scheme with an infinite number of directions. This normal matrix and its condition number are rotationally invariant. Numerical simulations show that for icosahedral schemes with 30 directions the standard deviation of the fractional anisotropy is both low and nearly independent of fiber orientation. The recommended choice of directions for a DT-MRI experiment is therefore the icosahedral set of directions with the highest number of directions achievable in the available time. (C) 2003 Wiley-Liss, Inc.

UR - http://www.scopus.com/inward/record.url?scp=0037763996&partnerID=8YFLogxK

U2 - 10.1002/mrm.10491

DO - 10.1002/mrm.10491

M3 - Article

SN - 1522-2594

VL - 49

SP - 1143

EP - 1151

JO - Magnetic Resonance in Medicine

JF - Magnetic Resonance in Medicine

IS - 6

ER -