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. Author manuscript; available in PMC: 2013 Sep 1.
Published in final edited form as: Magn Reson Med. 2011 Dec 2;68(3):751–761. doi: 10.1002/mrm.23285

Table 1.

Processing time and errors in translation and rotation for AIR in determining the alignment transform for simulated 9.4 Tesla 23Na images of the same brain.

Voxel Size
(mm)
Alignment Time2
(s)
Absolute Translation Error
(mm)
Absolute Rotation3 Error
(degrees)
X Y Z α β γ
2.9 0.978 ± 0.382 0.005 ± 0.004 0.005 ± 0.004 0.006 ± 0.004 0.006 ± 0.007 0.006 ± 0.008 0.005 ± 0.005
2.9+B1 0.820 ± 0.307 0.009 ± 0.014 0.014 ± 0.010 0.022 ± 0.004 0.013 ± 0.009 0.014 ± 0.009 0.011 ± 0.009
4.4 0.625 ± 0.222 0.013 ± 0.012 0.016 ± 0.022 0.009 ± 0.006 0.012 ± 0.014 0.012 ± 0.012 0.009 ± 0.007
4.4+B 1 0.590 ± 0.241 0.012 ± 0.009 0.017 ± 0.016 0.018 ± 0.012 0.013 ± 0.012 0.013 ± 0.010 0.012 ± 0.008
5.9 0.461 ± 0.165 0.029 ± 0.041 0.027 ± 0.030 0.024 ± 0.023 0.022 ± 0.025 0.028 ± 0.044 0.022 ± 0.022
5.9+B1 0.439 ± 0.154 0.023 ± 0.031 0.026 ± 0.026 0.034 ± 0.023 0.022 ± 0.022 0.023 ± 0.033 0.019 ± 0.016
8.8 0.270 ± 0.061 0.069± 0.070 0.080 ± 0.070 0.039 ± 0.056 0.070 ± 0.082 0.070 ± 0.090 0.066 ± 0.061
8.8+B1 0.269 ± 0.057 0.054± 0.072 0.064 ± 0.071 0.040 ± 0.033 0.066 ± 0.063 0.065 ± 0.041 0.050 ± 0.045
1

Image data reconstructed with a Blackman k-space filter

2

Processing was performed on an Apple Macbook Pro with a 2.2 GHz Intel Core i7 and 8 GB of random access memory.

3

Rotations around the X, Y, and Z axes are denoted α, β, and γ, respectively.