Research Article

A General Framework for Automated Accurate Calculation of b-Matrix (Auto-b) in Diffusion MRI Pulse Sequences

Table 6

The values (unit: s/mm2) and their relative error associated with the rectangularization of diffusion-sensitizing gradients.

Nominalb = 200b = 400b = 600b = 800

Accurate200.00400.07600.02800.00
Rect 1131.43 (34.29%)262.90 (34.29%)394.29 (34.29%)525.70 (34.29%)
Rect 2197.43 (1.28%)394.90 (1.29%)592.23 (1.30%)789.72 (1.28%)
Rect 3200.27 (−0.13%)400.60 (−0.13%)600.82 (−0.13%)801.07 (−0.13%)

Accurate104.76247.05402.70565.32
Rect 163.46 (39.42%)148.46 (39.91%)244.22 (39.35%)345.58 (38.87%)
Rect 2102.18 (2.46%)241.89 (2.09%)394.91 (1.93%)555.03 (1.82%)
Rect 3105.03 (−0.26%)247.59 (−0.22%)403.50 (−0.20%)566.39 (−0.19%)