Roughness: A Reshuffling-Variant Differential Geometric Index for DWI

RESULTS All results shown are obtained from a data set acquired with 2.5 x 2.5 x 2.5 mm isotropic resolution using a 1.5-T GE (General Electric, Milwaukee, WI) MRI scanner. A diffusion-weighted EPI pulse sequence was used. After a single acquisition is performed with no diffusion-weighting, 50 images with diffusion-weighting gradients oriented along different directions were acquired at b=1100 s/mm. Fig 1. (a) An orientation profile depicting two crossing fibers. (b) The values used in generating the profile in (a) redistributed on the sphere randomly. (c) The redistribution was done so that higher values are assigned to the z-direction. In all three cases, the profiles have the same variance value. a b c