This study has investigated the effects of the selection of the diffusion-w
eighted (DW) gradient directions on the precision of a diffusion tensor ima
ging (DTI) experiment. The theoretical analysis provided a quantitative fra
mework in which the noise performance of DTI schemes could be assessed obje
ctively and for the development of novel DTI schemes, which employ multiple
DW gradient directions. This generic framework was first applied to the ex
amination of two commonly used DTI schemes, which employed 6 DW gradient di
rections and hitherto were used indiscriminately under the sole condition o
f noncollinearity. It was then used to design and assess a novel 12-DW-grad
ient-direction DTI protocol, which employed the same total number of DW acq
uisitions as the two conventional schemes (12), This theoretical investigat
ion was then corroborated using rigorous simulation and DTI experiments on
both an isotropic phantom and a healthy human brain. Both the theoretical a
nd the experimental analysis demonstrated that the two conventional schemes
showed a significantly different noise performance and that use of the new
multiple-DW-gradient-direction scheme clearly improved the precision of th
e DTI measurements. (C) 1999 Academic Press.