Biomedical Engineering Reference
In-Depth Information
Table 9.6
Scapula linear and parabolic fitting coefficients for rotational DoFs versus thoraco-
humeral elevation in sagittal (range
]
ₒ
) and frontal (range
]
ₒ
) planes and center
[−
50
,
100
[−
100
,
0
of humeral head vertical translation (range
[
0
,
80
]
mm)
Linear
Parabolic
a
2
a
1
mean(SD)
a
3
a
2
a
1
mean(SD)
Three DoFs rotations versus thoracohumeral flexion/extension (ZXY convention)
X 0.020119 6.0054 2.0(1.5)
−
0
.
00046513 0.043852 6.8373 1.9(1.4)
Y 0.09294 50.8051 2.9(2.2)
−
0
.
0009794 0.14292 52.5566 2.4(1.8)
Z 0.12492
−
14
.
7824 1.4(0.9) 0.00043213 0.10288
−
15
.
5552 1.1(0.9)
Three DoFs rotations versus thoracohumeral flexion/extension (OVP convention)
X
−
.
−
.
0
02953
11.9511 2.5(1.9)
0
0010389
0.019496
13.4524 2.1(1.5)
Y
0.10499
49.88
2.7(1.9)
−
0
.
00099679
0.15203
51.3205 2.3(1.6)
Z
1472 1.0(0.7)
Three DoFs rotations versus thoracohumeral abduction/adduction (ZXY convention)
X
0.1491
−
11
.
0295 1.0(0.8)
8
.
15
E
−
05
0.14526
−
11
.
0.077288
7.4494 1.2(1.2)
−
0
.
0015569
−
0
.
054526
5.7073 1.1(1.1)
Y
0.07309
54.7748 2.3(1.6)
−
0
.
00053144
0.028096
54.1801 2.3(1.6)
Z
0889 1.3(1.3)
Three DoFs rotations versus thoracohumeral abduction/adduction (OVP convention)
X
−
0
.
16818
−
19
.
6822 1.7(1.3)
0.0023177
0.028045
−
17
.
0.10553
14.1098 1.7(1.1)
−
0
.
0015217
−
0
.
033093
12.5436 1.5(0.8)
Y
0.015219
51.2514 2.6(1.1)
−
0
.
00079354
−
0
.
057072
50.4131 2.6(1.0)
Z
−
0
.
08861
−
14
.
3055 0.9(0.9)
0.00026744
−
0
.
064244
−
14
.
023
0.9(0.7)
Three DoFs rotations versus humeral head vertical translation (ZXY convention)
X
−
0
.
02934
6.0313 2.2(2.0)
−
0
.
0015105
0.085367
4.9588 2.1(1.8)
Y
0.028533
50.9272 3.9(2.6)
0.0011468
−
0
.
058561
51.7414 3.9(2.6)
Z
5249 2.0(1.7)
Three DoFs rotations versus humeral head vertical translation (OVP convention)
X
0.17281
−
18
.
7816 2.2(1.7)
0.00177
0.038394
−
17
.
−
0
.
10428
13.9165 2.2(1.9)
−
0
.
0019829
0.046308
12.5087 2.1(1.6)
Y
0.043608
49.519
3.8(2.6)
0.0013712
−
0
.
060522
50.4926 3.7(2.6)
Z
0.14933
−
14
.
7645 2.7(2.1)
0.0010673
0.068281
−
14
.
0067 2.6(2.1)
j
=
1
w
j
P
ij
(
6
k
i
ˉ
=
q
j
),
i
=
1
,...,
6, where k represents either the clavicle or scapula,
and
P
ij
(
q
j
)
=
0 one can
“manually” neglect any independent DoF. By only including linear and parabolic
fitting, the total amount of analyzed polynomials was 144
are the regression polynomials. Note, by specifying
c
i
. Based
on the residual of the fitting estimation, polynomials were restricted to parabolic
representation, while linear fitting was discarded (examples of both representation
are described in the next section including Tables
9.5
and
9.6
). Furthermore, only
two humerus DoFs (flexion/extension and abduction/adduction) were selected by
comparison a fitting residual for thoracohumeral six DoF motions.
(
2
×
2
×
6
×
6
)
