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Objects with Objects with
characterist ics characteristi cs
{
}
X
Y
=
Y
,
l
=
1
k
j
=
1
m
j
,
l
M objects M objects
with
Y
2
2
ρ
Reference
pattern
Y
ρ
2
1
+ ρ
2
2
min
ρ
2
1
Regression model
Fig. 6.1 Functional model of obtaining a reference pattern
On substituting in the linear model, we obtain
1
m
m
0
0
1
1
D
=
b
b
+
θ
+
θ
+
~
~
~
~
~
1
L
2
a
X
X
6
a
X
m
+
j
1
1
j
j
j
j
=
1
j
=
2
m
m
1
~
1
+
θ
+
...
+
θ
+
θ
;
~
~
~
~
~
a
a
X
X
a
X
2
2
m
j
+
3
2
j
2
j
m
+
m
~
~
m
+
m
j
=
3
X
/
X
j
=
1
m
m
+
j
1
2
2
1
m
m
0
0
2
2
D
=
b
+
b
+
θ
+
θ
+
~
~
~
~
~
2
R
2
a
X
X
6
a
X
m
+
j
1
1
j
j
j
j
=
1
j
=
2
m
m
+
θ
2
+
...
+
θ
~
+
θ
2
,
~
~
~
~
~
a
a
X
X
a
X
2
2
m
j
+
3
2
j
2
j
m
+
m
~
~
m
+
m
j
=
3
j
=
1
X
/
X
m
1
m
+
j
2
2
where
1
1
1
1
p
p
L
θ
=
b
x
x
b
x
x
;
~
~
j
1
jL
j
1
jL
a
X
6
6
12
p
j
1
1
1
2
p
p
R
θ
=
b
x
+
x
+
b
x
+
x
~
~
j
2
jR
j
2
jR
a
X
6
6
12
p
j
(
)
2
m
+
m
+
2
m
m
+
3
p
=
,
At
2
2
and
 
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