Geography Reference
In-Depth Information
=×
→ℜ
(1)
where
is an image or window of image on which one is evaluated texture parameter and
is a rule of connection associated.
Let's consider an image window F of size NLxNC, where NL is the number of lines and NC
is the number of columns. The classical expression of textural parameters is given by the
following expression:
=
∑∑
⋯
∑
,
,⋯,
×
⋯
(2)
where
⋯
is the OFM and
is a real function defined in
.
The synthesis of the generalisation of texture parameters is conciliated on the Table 1 given
below.
Parameter
Arborescent formulation
in order n
Order 2
Classical formulation of order n
1- Contrast
L
1
L
1
L
1
nn
21
1
1
2
2
2
2
LL
11
L
1
n n
2 1
ii
n
.
i
j
P
1
n
2
2
ij
iiP
...
n
uv
N
N
ul
0
v
1
n
0
i
0
j
0
kl
ii i
...
pq
,
D
N
ii i
01
n
1
00
0
klk
0 1
01
n
1
2- Correlation
n
1
n
1
i
i
j
i
LL
11
1
LL
11
L
1
1
u
x
y
1
k
i
i
.
P
u
0
u
k
0
k
P
...
ij
N
ii i
N
i
n
1
...
N
n
1
i
00
j
xy
01
n
1
00
i
i
0
pq
,
D
0
1
n
1
i
i
k
0
k
u
u
0
3- Covariance
LL
11
1
LL
11
L
1
n
1
n
1
.
i
j
P
1
1
...
i
P
i
N
ij
x
y
i
00
j
N
k
ii i
...
N
u
i
i
01
n
1
i
00
i
i
0
0
k
k
pq
,
D
u
0
u
0
1
n
1
4- Inverse Difference
P
1
1
P
LL
11
L
1
LL
11
1
1
ii i
...
21
ij
...
.
1
01
n
1
N
nn
21
pq
,
D
N
i
nn
N
ij
1
i
i
00
i
i
0
i
00
j
uv
1
i
i
0
1
n
1
k
l
uvu
0
1
kl
0
k
1
5- Dissymmetry
11
LL
LL
11
L
1
n
1
n
n
1
n
1
1
1
.
ij
P
...
iiP
i
i
N
ij
k
l
ii i
...
uv
N
ii i
N
01
n
1
i
00
j
00
0 0
kl
k
1
uvk
0
1
pq
,
D
0
1
n
1
