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. Author manuscript; available in PMC: 2014 Nov 7.
Published in final edited form as: Phys Med Biol. 2013 Oct 10;58(21):7625–7646. doi: 10.1088/0031-9155/58/21/7625

Table 3.

The average distance errors (in mm) for the different cases of known simulated motion in the NCAT phantom for the metrics investigated. XTwo, YTwo, ZTwo indicates two motion groups were simulated with motion in X, Y and Z direction respectively. XThree, YThree and ZThree are simulated similarly with three motion groups. In both cases the full 6-DOF motion model was optimized. The columns Group 1 and Group 2 refer to AvDistErr in the transformations estimated between the second and third motion groups with respect to the reference Group 0.

MSD NCC PI NMI MI
XTwo Translation 3.69 3.78 2.05 2.94 5.51
XTwo Rotation 9.29 10.23 7.61 4.25 8.22
YTwo Translation 4.62 3.64 1.63 2.43 5.60
YTwo Rotation 7.52 5.42 8.83 6.21 5.14
ZTwo Translation 2.99 3.46 2.90 2.85 3.18
ZTwo Rotation 8.27 8.22 5.51 6.54 6.54
Complex 4.44 6.96 6.16 6.91 3.78

Average 5.83 5.96 4.96 4.59 5.42
MSD NCC PI NMI MI

Group
1
Group
2
Group
1
Group
2
Group
1
Group
2
Group
1
Group
2
Group
1
Group
2
XThree Translation 3.78 4.25 4.48 3.88 1.82 4.58 1.87 4.90 4.11 6.68
XThree Rotation 10.46 12.61 11.96 15.60 3.22 3.88 8.13 9.34 9.15 11.96
YThree Translation 3.88 8.50 3.74 6.72 1.26 3.64 2.62 3.83 5.51 5.70
YThree Rotation 7.01 9.11 4.67 9.81 1.68 4.44 2.10 6.21 4.20 4.76
ZThree Translation 4.20 8.55 3.78 8.22 4.30 7.47 3.97 4.53 2.52 4.76
ZThree Rotation 11.68 17.00 10.74 15.41 6.63 10.37 7.01 11.68 5.60 11.21

Average 6.83 10.00 6.56 9.94 3.15 5.73 4.28 6.75 5.18 7.51