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Fig. 3 Flowchart of the algorithm for segmenting vertebral bodies
1
g
ðÞ¼
~
x
1
ð
2
Þ
I n
g
1
þ
exp
~
where I is the gradient magnitude of the grey level image at voxel
x. The two
parameters n and g are typically computed using the equations [ 46 ]:
K 1
K 2
K 1 þ
K 2
g ¼
n ¼
ð
3
Þ
6
2
where K 1 is the minimum gradient magnitude value along the object
s boundary
and K 2 the average gradient magnitude inside the object where the level set is
initialized. Those de
'
nitions ensure that the level set advances over internal gra-
dients but stops at the minimum gradient along the boundary, as Eq. ( 2 ) maps
gradients values up to K 2 to approximately 1 and gradient values equal or larger
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