Biomedical Engineering Reference
In-Depth Information
Fig. 3.6 a Initial nodal set of potential neighbour nodes of node n
0
. b First trial plane. c Second
trial plane. d Final trial cell containing just the natural neighbours of node n
0
. e Node n
0
Voronoï
cell V
0
. f Voronoï diagram
After the definition of plane p
40
, all nodes that do not respect the following
condition:
u
40
x
þ
v
40
y
þ
w
40
z
ð
u
40
x
4
þ
v
40
y
4
þ
w
40
z
4
Þ
ð
3
:
6
Þ
are eliminated as natural neighbours of node n
0
. In Fig.
3.6
b it is possible to
observe that node n
8
is not a natural neighbour of node n
0
. Afterwards the process
is repeated for each one of initial nodal set, Fig.
3.6
c. In the end, each one of the 6
natural neighbours of node n
0
, represented in Fig.
3.6
d, respect simultaneously the
following 6 conditions:
