Biomedical Engineering Reference
In-Depth Information
image, as shown in Figure 8.16c, was enhanced. Prior to this interpolation, the number
of elements had to be increased from 7 to any desired number (
N
). To do this, (
N
-7)
extra elements were required. Therefore, (
N
- 7)/6 elements were inserted between each
two original elements. The resulting (1
×
N
) vector
{
G
}
, is in the following form:
{
G
} =
G
1
G
N
G
2
···
G
N
−
1
(8.9)
in which
G
1
=
V
1
,
G
N
+
5
6
=
V
2
,
G
=
V
3
,
G
=
V
4
,
G
=
V
5
,
G
=
V
6
,
2
N
+
4
3
N
+
3
4
N
+
2
5
N
+
1
6
6
6
6
G
N
=
V
7
The intensity values assigned to the inserted elements were calculated using the linear
interpolation relationship expressed in Equation 3.10:
N
+
5
6
.
V
j
+
1
−
V
j
G
i
=
V
j
+
i
−
1
−
(j
−
1
)
(N
−
1
)/
6
,
N
−
1
6
(8.10)
+
(j
−
1
)(N
−
1
)
6
1
<i<
1
+
j
where '
j
'(1
≤
j
≤
6) and '
i
'(1
≤
i
≤
N
) are indices associated with the original vector
{
V
}
and the augmented vector
{
G
}
, respectively. The numerical example for
N
= 60, is
illustrated in Figure 8.16c.
F
1
2
3
4
5
6
7
PVDF sensing elements
(a)
1
2
3
4
5
6
7
(b)
1
2
3
4
5
6
7
(c)
Figure 8.16
Locating the lump in one direction and its graphical rendering
