Information Technology Reference
In-Depth Information
Fig. 19 An axial oblique multi-planar cross-section M
z¼z
c
;a
¼
a
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 (Note The image-based coordinate system and the spine
curve correspond to Figs.
1
and
7
)
Generalized Oblique Multi-planar Cross-Sections
Generalized oblique multi-planar cross-sections are obtained by sampling the 3D
image I on a sagittal (x
z
c
) orthogonal plane
that is additionally rotated for angles
a
¼
a
p
,
b
¼
b
p
and/or
c
¼
c
p
about axes x, y
and z, respectively, of the image-based coordinate system:
¼
x
c
), coronal (y
¼
y
c
) or axial (z
¼
M
x¼x
c
;a
¼
a
p
;b
¼
b
p
;c
¼
c
p
ð
y
;
z
Þ
¼
I
ð
R
ða
p
; b
p
; c
p
Þ
½
x
c
;
y
;
z
Þ;
ð
67
Þ
M
y¼y
c
;a
¼
a
p
;b
¼
b
p
;c
¼
c
p
ð
x
;
z
Þ
¼I
ð
R
ða
p
; b
p
; c
p
Þ
½x
;
y
c
;
z
Þ;
ð
68
Þ
