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Fig. 1 A schematic view of the graphical model based representation of a spinal structure
h i ; h i ;
h i ; h i g
set X i ¼f
to V i to describe the positions, sizes and
orientations of the vertebral body and the upper/lower intervertebral discs of Vi i as
shown in Fig. 2 . E
x i ;
y i ;
r i ;
h i ;
a i ðh i Þ;
e i ; j ;
ne a connection matrix of
the graph G. On this graphical model, the observation model of a single component
V i is de
¼
i
;
j
¼
0
;
1
;
2
; ...;
N
1de
ned as p I
ð
j
X i
Þ;
i
¼
0
;
1
; ...;
N
1 and the potential among neighboring
components V i and V j with e i ; j ¼
ned as p X i ;
;
;
¼
;
; ...;
;
1isde
X j
i
j
0
1
N
1
e i ; j ¼ 1. From a probabilistic point of view, p I j X i
ð
Þ represents the probability that
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