In the setting of the DTI tensor ellipsoid, we can consider each of these as a measure of the diffusivity along each of the three primary axes of the ellipsoid.
2.
The use of electromagnetic data acquisitions from six or more directions to construct a tensor ellipsoid was known from other fields at the time, as was the use of the tensor ellipsoid to describe diffusion.
3.
The use of electromagnetic data acquisitions from six or more directions to construct a tensor ellipsoid was known from other fields at the time, as was the use of the tensor ellipsoid to describe diffusion.
4.
We can still use tensor math to use the maxima to select groups of gradients to package into several different tensor ellipsoids in the same voxel, or use more complex higher rank tensors analyses, or we can do a true " model free " analysis that just picks the maxima and goes on about doing the tractography.