Image Processing Reference

In-Depth Information

These operations can be arranged in two different orders depending on the values

to combine:

x
+
y

≤

1=

⇒

σ
0
(
x, y
)

≤

σ
min
(
x, y
)

≤

σ
max
(
x, y
)

≤

σ
+
(
x, y
)
,

[8.75]

x
+
y

≥

1=

⇒

σ
0
(
x, y
)

≥

σ
min
(
x, y
)

≥

σ
max
(
x, y
)

≥

σ
+
(
x, y
)
.

[8.76]

The four examples in Table 8.2 are illustrated in Figure 8.9.

Figure 8.9.
Four examples of symmetric sums. First line:

σ
0
and

σ
+
.

Second line:

σ
min
and

σ
max

8.5.5.
Adaptive operators

There are many operators found in other works that we will not discuss here. We

will simply mention adaptive operators according to conflict between possibility dis-

tributions [DUB 92a], which behave like a min when the distributions are consonant

and like a max when they produce a strong conflict. Let
π
1
and
π
2
be two possibility

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