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2e425de9
Commit
2e425de9
authored
Sep 23, 2015
by
Christophe Palmann
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test about HaA
parent
ca997dfb
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-6
Modules/Filtering/Polarimetry/include/otbReciprocalHAlphaImageFilter.h
...ring/Polarimetry/include/otbReciprocalHAlphaImageFilter.h
+87
-6
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Modules/Filtering/Polarimetry/include/otbReciprocalHAlphaImageFilter.h
View file @
2e425de9
...
...
@@ -78,19 +78,100 @@ public:
VNLMatrixType
vnlMat
(
3
,
3
,
0.
);
vnlMat
[
0
][
0
]
=
ComplexType
(
T0
,
0.
);
vnlMat
[
0
][
1
]
=
std
::
conj
(
ComplexType
(
Coherency
[
1
])
);
vnlMat
[
0
][
2
]
=
std
::
conj
(
ComplexType
(
Coherency
[
2
])
);
vnlMat
[
1
][
0
]
=
ComplexType
(
Coherency
[
1
]
);
vnlMat
[
0
][
1
]
=
ComplexType
(
Coherency
[
1
]
);
vnlMat
[
0
][
2
]
=
ComplexType
(
Coherency
[
2
]
);
vnlMat
[
1
][
0
]
=
std
::
conj
(
ComplexType
(
Coherency
[
1
])
);
vnlMat
[
1
][
1
]
=
ComplexType
(
T1
,
0.
);
vnlMat
[
1
][
2
]
=
std
::
conj
(
ComplexType
(
Coherency
[
4
])
);
vnlMat
[
2
][
0
]
=
ComplexType
(
Coherency
[
2
]
);
vnlMat
[
2
][
1
]
=
ComplexType
(
Coherency
[
4
]
);
vnlMat
[
1
][
2
]
=
ComplexType
(
Coherency
[
4
]
);
vnlMat
[
2
][
0
]
=
std
::
conj
(
ComplexType
(
Coherency
[
2
])
);
vnlMat
[
2
][
1
]
=
std
::
conj
(
ComplexType
(
Coherency
[
4
])
);
vnlMat
[
2
][
2
]
=
ComplexType
(
T2
,
0.
);
//Compute eig. vect. and val. analytically (from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.469.9724&rep=rep1&type=pdf)
ComplexType
a
=
static_cast
<
ComplexType
>
(
Coherency
[
0
]);
ComplexType
z1
=
static_cast
<
ComplexType
>
(
Coherency
[
1
]);
ComplexType
z2
=
static_cast
<
ComplexType
>
(
Coherency
[
2
]);
ComplexType
z1p
=
std
::
conj
(
static_cast
<
ComplexType
>
(
Coherency
[
1
]));
ComplexType
b
=
static_cast
<
ComplexType
>
(
Coherency
[
3
]);
ComplexType
z3
=
static_cast
<
ComplexType
>
(
Coherency
[
4
]);
ComplexType
z2p
=
std
::
conj
(
static_cast
<
ComplexType
>
(
Coherency
[
2
]));
ComplexType
z3p
=
std
::
conj
(
static_cast
<
ComplexType
>
(
Coherency
[
4
]));
ComplexType
c
=
static_cast
<
ComplexType
>
(
Coherency
[
5
]);
ComplexType
S1
=
a
*
b
+
a
*
c
+
b
*
c
-
z1
*
z1p
-
z2
*
z2p
-
z3
*
z3p
;
ComplexType
S2
=
a
*
a
-
a
*
b
+
b
*
b
-
a
*
c
-
b
*
c
+
c
*
c
+
ComplexType
(
3.
,
0.
)
*
(
z1
*
z1p
+
z2
*
z2p
+
z3
*
z3p
);
ComplexType
det
=
a
*
b
*
c
-
c
*
z1
*
z1p
-
b
*
z2
*
z2p
+
z1
*
z2p
*
z3
+
z1p
*
z2
*
z3p
-
a
*
z3
*
z3p
;
ComplexType
trace
=
a
+
b
+
c
;
ComplexType
S3
=
ComplexType
(
27.
,
0.
)
*
det
-
ComplexType
(
9.
,
0.
)
*
S1
*
trace
+
ComplexType
(
2.
,
0.
)
*
trace
*
trace
*
trace
;
S3
+=
std
::
sqrt
(
S3
*
S3
-
ComplexType
(
4.
,
0.
)
*
S2
*
S2
*
S2
);
// eig val #1
ComplexType
L1
=
(
ComplexType
(
pow
(
2.
,
1.
/
3.
),
0.
)
*
S2
)
/
(
ComplexType
(
3.
,
0.
)
*
pow
(
S3
,
1.
/
3.
)
)
;
L1
+=
ComplexType
(
1.
/
3.
,
0.
)
*
trace
+
pow
(
S3
,
1.
/
3.
)
/
ComplexType
(
3
*
pow
(
2.
,
1.
/
3.
),
0.
);
// eig val #2
ComplexType
L2
=
-
ComplexType
(
1.
,
sqrt
(
3.
))
*
S2
/
(
ComplexType
(
3
*
pow
(
2.
,
2.
/
3.
),
0.
)
*
pow
(
S3
,
1.
/
3.
)
);
L2
+=
ComplexType
(
1.
/
3.
,
0.
)
*
trace
-
ComplexType
(
1.
,
-
sqrt
(
3.
))
*
pow
(
S3
,
1.
/
3.
)
/
ComplexType
(
6.0
*
pow
(
2.0
,
1.
/
3.
),
0.
)
;
// eig val #3
ComplexType
L3
=
-
ComplexType
(
1.
,
-
sqrt
(
3.
))
*
S2
/
(
ComplexType
(
3
*
pow
(
2.
,
2.
/
3.
),
0.
)
*
pow
(
S3
,
1.
/
3.
)
);
L3
+=
ComplexType
(
1.
/
3.
,
0.
)
*
trace
-
ComplexType
(
1.
,
sqrt
(
3.
))
*
pow
(
S3
,
1.
/
3.
)
/
ComplexType
(
6.0
*
pow
(
2.0
,
1.
/
3.
),
0.
)
;
// eig vect #1
ComplexType
Li
=
L1
;
ComplexType
e11
=
(
Li
-
c
)
/
z2p
+
(
((
Li
-
c
)
*
z1p
+
z2p
*
z3
)
*
z3p
)
/
(
((
b
-
Li
)
*
z2p
-
z1p
*
z3p
)
*
z2p
);
ComplexType
e12
=
((
Li
-
c
)
*
z1p
+
z2p
*
z3
)
/
((
b
-
Li
)
*
z2p
-
z1p
*
z3p
)
;
ComplexType
e13
=
1.0
;
// eig vect #2
Li
=
L2
;
ComplexType
e21
=
(
Li
-
c
)
/
z2p
+
(
((
Li
-
c
)
*
z1p
+
z2p
*
z3
)
*
z3p
)
/
(
((
b
-
Li
)
*
z2p
-
z1p
*
z3p
)
*
z2p
);
ComplexType
e22
=
((
Li
-
c
)
*
z1p
+
z2p
*
z3
)
/
((
b
-
Li
)
*
z2p
-
z1p
*
z3p
)
;
ComplexType
e23
=
1.0
;
// eig vect #3
Li
=
L3
;
ComplexType
e31
=
(
Li
-
c
)
/
z2p
+
(
((
Li
-
c
)
*
z1p
+
z2p
*
z3
)
*
z3p
)
/
(
((
b
-
Li
)
*
z2p
-
z1p
*
z3p
)
*
z2p
);
ComplexType
e32
=
((
Li
-
c
)
*
z1p
+
z2p
*
z3
)
/
((
b
-
Li
)
*
z2p
-
z1p
*
z3p
)
;
ComplexType
e33
=
1.0
;
/*std::cout << ">>>>>>>>>>>>>> L1 = " << L1 << std::endl;
std::cout << ">>>>>>>>>>>>>> L2 = " << L2 << std::endl;
std::cout << ">>>>>>>>>>>>>> L3 = " << L3 << std::endl;
std::cout << ">>>>>>>>>>>>>> e11 = " << e11 << std::endl;
std::cout << ">>>>>>>>>>>>>> e21 = " << e21 << std::endl;
std::cout << ">>>>>>>>>>>>>> e31 = " << e31 << std::endl;*/
// Only compute the left symetry to respect the previous Hermitian Analisys code
vnl_complex_eigensystem
syst
(
vnlMat
,
false
,
true
);
const
VNLMatrixType
eigenVectors
(
syst
.
L
);
const
VNLVectorType
eigenValues
(
syst
.
W
);
//std::cout << ">>>>>>>>>>>>>> EVal = " << eigenValues << std::endl;
//std::cout << ">>>>>>>>>>>>>> EVect = " << eigenVectors << std::endl;
VNLMatrixType
myEVect
(
3
,
3
,
0.
);
myEVect
[
0
][
0
]
=
e11
;
myEVect
[
0
][
1
]
=
e12
;
myEVect
[
0
][
2
]
=
e13
;
myEVect
[
1
][
0
]
=
e21
;
myEVect
[
1
][
1
]
=
e22
;
myEVect
[
1
][
2
]
=
e23
;
myEVect
[
2
][
0
]
=
e31
;
myEVect
[
2
][
1
]
=
e32
;
myEVect
[
2
][
2
]
=
e33
;
VNLMatrixType
unit
(
3
,
3
,
0.
);
//unit[0][0]=1; unit[1][1]=1; unit[2][2]=1;
unit
.
set_identity
();
std
::
cout
<<
">>>>>>>>>>>>>> myEVect*conj_trans(myEVect) = "
<<
(
unit
-
myEVect
*
myEVect
.
conjugate_transpose
()
).
operator_inf_norm
()
<<
std
::
endl
;
std
::
cout
<<
">>>>>>>>>>>>>> EVect*conj_trans(EVect) = "
<<
(
unit
-
eigenVectors
*
eigenVectors
.
conjugate_transpose
()
).
operator_inf_norm
()
<<
std
::
endl
;
//std::cout << ">>>>>>>>>>>>>> eigenValues = " << eigenValues << std::endl;
//std::cout << ">>>>>>>>>>>>>> " << eigenVectors[0][0] << " " << eigenVectors[1][0] << " " << eigenVectors[2][0] << " " << std::endl;
// Entropy estimation
double
totalEigenValues
(
0.0
);
...
...
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