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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
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
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