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Fig. 25 A coronal oblique curved-planar cross-section CT
v¼v
c
;/
¼
/
p
of a 3D CT image of a scoliotic
spine, shown in a 3D view, b left sagittal view, c posterior coronal view and d superior axial view
of the image-based coordinate system (Notes The image-based coordinate system and the spine
curve correspond to Figs.
1
and
7
)
rotation (Eq.
57
) for every point i on the spine curve cðiÞ.
. Figure
25
displays the
coronal oblique curved-planar cross-section that passes through the spine curve (i.e.
D
ð
i
Þ
25
.
However, in the resulting cross-sections, anatomical deformations are present that
result from the intersections of coronal pro
y
¼
0) and is rotated for
/
¼
/
p
¼
about
axis y of the image-based coordinate system. To avoid anatomical deformations, the
coronal oblique curved-planar cross-section CT
v¼v
c
;/
¼
/
p
can be obtained as:
les due to the rotation for angle
bð
i
Þ
C
v¼v
c
;/
¼
/
p
ð
x
;
c
z
ð
i
ÞÞ
¼
I
ð
R
z
ðuð
i
Þþ/
p
Þ
½
x
;
c
y
ð
i
Þþ
D
y
;
c
z
ð
i
ÞÞ;
ð
89
Þ