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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 3.

Errors in quantification of TSC and the processing time for the simulation phantom (Figure 2) when the alignment transform is applied directly in k-space during image reconstruction or in image space (sinc, chirp-z, trilinear).

Reconstructed with unfiltered k-space Reconstructed with Blackman filtered k-space
k-space sinc chirp-z trilinear k-space sinc chirp-z trilinear
Maximum error (mM) 0.180 ± 0.015 5.209 ± 0.576 1.392 ± 0.133 34.704 ± 3.019 0.125 ± 0.015 0.552 ± 0.036 0.158 ± 0.022 6.826 ± 0.288
Average1 error (mM) 0.034 ± 0.003 0.338 ± 0.020 0.154 ± 0.010 0.874 ± 0.010 0.027 ± 0.003 0.068 ± 0.001 0.028 ± 0.003 0.293 ± 0.001
Time1 (s) 17.311 ± 1.156 28.183 ± 1.771 1.713 ± 0.154 0.059 ± 0.014 16.311 ± 1.670 26.395 ±1.789 1.581 ± 0.174 0.060 ± 0.028
1

Average error computed over all voxels with a TSC of at least 1 mM.

2

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