Biomedical Engineering Reference
In-Depth Information
Table 6.2: Experimental results produced by mapping MRI brain image 2 into
images 1, 3, 4, and 5 (see Fig. 6.7). The thin-plate spline algorithms compared
in this table are the unidirectional landmark (UL-TPS), consistent landmark
(CL-TPS), consistent intensity (CI-TPS), and consistent landmark and intensity
(CLI-TPS) algorithms. The statistics computed for these experiments were the
average landmark error (ALE) in pixels, maximum landmark error (MLE),
maximum inverse error (MIE) in pixels, average inverse error (AIE) in pixels,
masked average intensity difference (MAID), minimum Jacobian value (MJ),
inverse of the maximum Jacobian value (IJ) and the Jacobian error (JE)
Algorithm
Exp.
ALE
MLE
AIE
MIE
MAID
MJ
IJ
JE
None
b2b1
6
9
12
0
23
.
.
b2b3
4 . 9
13
0 . 19
b2b4
8 . 8
21
0 . 22
b2b5
8 . 7
19
0 . 26
UL-TPS
b2b1
0 . 066
0 . 087
0 . 90
2 . 7
0 . 16
0.56
0.75
0 . 053
b2b3
0 . 073
0 . 098
0 . 78
3 . 1
0 . 18
0.50
0.57
0 . 092
b2b4
0 . 062
0 . 088
0 . 94
3 . 4
0 . 13
0.51
0.66
0 . 090
b2b5
0 . 030
0 . 061
1 . 2
3 . 8
0 . 16
0.56
0.67
0 . 050
CL-TPS
b2b1
0 . 000030
0 . 00011
0 . 0012
0 . 028
0 . 16
0.59
0.73
0 . 0011
20 iter.
b2b3
0 . 000034
0 . 00014
0 . 0016
0 . 022
0 . 18
0.55
0.53
0 . 0014
b2b4
0
.
0083
0
.
083
0
.
079
0
.
42
0
.
13
0.54
0.62
0
.
0011
b2b5
0
000006
0
00037
0
0024
0
015
0
16
0.56
0.62
0
00021
.
.
.
.
.
.
CI-TPS
b2b1
1
5
3
1
0
0045
0
048
0
097
0.26
0.47
0
011
.
.
.
.
.
.
1000 iter.
b2b3
1
6
2
9
0
0043
0
052
0
11
0.25
0.29
0
017
.
.
.
.
.
.
b2b4
1
0
2
2
0
0040
0
063
0
084
0.26
0.44
0
0075
.
.
.
.
.
.
b2b5
1 . 4
3 . 4
0 . 0044
0 . 099
0 . 092
0.18
0.32
0 . 0091
CLI-TPS
b2b1
1 . 1
2 . 0
0 . 020
0 . 40
0 . 091
0.19
0.37
0 . 036
300 iter.
b2b3
1 . 1
2 . 0
0 . 021
0 . 62
0 . 10
0.13
0.23
0 . 030
b2b4
0 . 75
1 . 6
0 . 017
0 . 61
0 . 080
0.12
0.39
0 . 025
b2b5
1 . 1
2 . 8
0 . 021
0 . 96
0 . 088
0.10
0.17
0 . 034
landmark points are more sparse the intensity driving force plays a more impor-
tant role.
6.6
Acknowledgments
This work was supported in part by the NIH under grants NS35368, CA75371,
and DC03590, and a grant from the Whitaker Foundation.
 
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