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. Author manuscript; available in PMC: 2009 Oct 29.
Published in final edited form as: Magn Reson Med. 2009 Jan;61(1):205–214. doi: 10.1002/mrm.21852

Table 2.

Means and Standard Deviations (Std) of the Three Metrics (KL Divergence, L1 Norm, and L2 Norm) as Functions of b Values

b 0.5 1 1.5 2 3 4 5 6 7 8
KL (Mean) 2.63e-3 6.75e-4 4.01e-4 3.86e-4 3.96e-4 5.65e-4 8.01e-4 1.34e-3 2.40e-3 3.31e-3
KL (Std) 3.30e-4 2.30e-4 9.86e-5 1.53e-4 1.18e-4 1.62e-4 1.70e-4 4.67e-4 4.84e-4 3.61e-4
L1 (Mean) 3.05e-4 1.79e-4 1.39e-4 1.32e-4 1.37e-4 1.51e-4 1.70e-4 2.15e-4 2.70e-4 3.20e-4
L1 (Std) 2.84e-5 2.68e-5 1.93e-5 2.35e-5 2.20e-5 2.51e-5 2.20e-5 2.98e-5 3.34e-5 1.81e-5
L2 (Mean) 2.88e-3 1.47e-3 1.14e-3 1.10e-3 1.12e-3 1.33e-3 1.58e-3 2.03e-3 2.72e-3 3.21e-3
L2 (Std) 1.82e-4 2.25e-4 1.32e-4 2.24e-4 1.66e-4 1.86e-4 1.68e-4 3.42e-4 2.77e-4 1.71e-4

For each b value, 100 simulations of two-tensor systems (equal volume fractions; 90° crossing) were computed with a SNR of 15. Here, b values are scaled by 1,000 (i.e., a value of 2 represents 2,000 sec/mm2). Please also refer to Fig. 1 for more details.