Biomedical Engineering Reference
In-Depth Information
80
60
40
0.035
0.03
0.025
80
60
20
40
20
40
20
60
0
0
20
40
60
80
80
Figure 20.
Subjective surface segmentation of 3D sphere with four holes. See attached
CD for color version.
As a first example, we segment a 3D image with 81
3
voxels containing a white
sphere with four holes on a black background. One 2D slice along the equator
is presented in Figure 20 (left). On the right-hand side of Figure 20 we can see
a 2D cut of the segmentation function in the same 2D slice after 28 steps of the
semi-implicit scheme using
τ
=0
.
002,
ε
=10
−
3
,
K
=1,
TOL
=0
.
001 and
δ
=10
−
5
. This state of the segmentation function with a shock profile along the
edges continuing also into gaps can be successively used to segment the sphere
with completion of the holes. The result, where we visualize level surface 0.03, is
plotted in Figure 21.
Figure 21.
Result of subjective surface segmentation of a 3D sphere with four holes. See
attached CD for color version.
