Image Processing Reference
In-Depth Information
Figure 6.3
(a) shows noisy and ideal image observations and (b) gives the probability esti-
mates that show that the optimum rank-order filter occurs when
r
opt
=
6. The noisy image fil-
tered by the median filter (
r
= 5) is shown in (c) and the noisy image filtered by the optimum
filter (
r
= 6) is shown in (d).
P
(
y=
1
||
x
|=i
)
P
(
y=
1
||
x
|
=j
)
for
i > j
(6.10)
This property is known as the
weight-monotonic
property
7
and implies that the
more black pixels there are in the observation window, the more likely it is that the
ideal pixel at the window center is black.
