IEEE IGARSSVancouver, July 27, 2011
TEST OF EQUI-SCATTERING MECHANISMS FOR POLINSAR APPLICATIONS WITH
TANDEM-X
Armando MarinoJuan M. Lopez-Sanchez
University Institute of Computing Research (IUII)University of Alicante
Spain
Shane R. Cloude
AEL ConsultantsCupar
Scotland
IEEE IGARSSVancouver, July 27, 2011
Motivations
TanDEM-X has a small bistatic angle
We are interested in knowing if this bistaic angle can change significantly the scattering mechanisms.
Cou
rtes
y of
DL
R
IEEE IGARSSVancouver, July 27, 2011
Outlook
Development of an Equi-Scattering Mechanism (ESM) test for dual polarimetry (suitable for TanDEM-X)
Parameterization and Setting of threshold
Test on TanDEM-X data
IEEE IGARSSVancouver, July 27, 2011
Quad vs Dual polarimetry
IEEE IGARSSVancouver, July 27, 2011
Quad vs dual polarimatry
Covariance matrix
Tkkk 21,
2
2*12
*21
2
1
2kkk
kkkC
TL VVHHk ,
Example: lexicographic basis.
Scattering vector
Scattering vector
Tkkkkk 4321 ,,,
Covariance matrixReciprocity & monostatic
2
3*23
*13
*32
2
2*12
*31
*21
2
1
3
kkkkk
kkkkk
kkkkk
C
TL VHHVVVHHk ,,,
Example: lexicographic basis.
IEEE IGARSSVancouver, July 27, 2011
ESM test
IEEE IGARSSVancouver, July 27, 2011
11
1
1ˆ
1
1
2*
*
T
tot
TT
T
PP
RedR
tt
ttRedR
Partial target detector: dual-pol
P
T
PT
T
T
P
T
T
tPttPt
tPt
ˆˆˆˆ
ˆˆ
**
*
Based on a coherence Independent on the overall amplitude
Gain factor Power of target
Total Power
Tt̂
Pt̂
: target to detect
: perturbed target
2
2*12
*21
2
1
2kkk
kkkC
IEEE IGARSSVancouver, July 27, 2011
311 ,,, C dd tyxyxt 3
22 ,,, C dd tyxyxt
T
tt
ttRedR
dT
d
dT
d
dual
1ˆ
1
1
2
1*2
2*2
1ˆ
12
1*2
2*2
dT
d
dT
d
tt
tt
SCR1
11ˆ
d
dd t
tt
Change detector: Dual polarimetry
2
2*12
*21
2
1
2kkk
kkkC
IEEE IGARSSVancouver, July 27, 2011
Threshold settings:dual polarimetry
IEEE IGARSSVancouver, July 27, 2011
What we want to do:
We need to set RedR and T
Definition of difference between the SM:
jd
Td e2*1
Parameterisation in order to relate:
2*1 dT
d Difference Model
dualDetector
T
tt
ttRedR
dT
d
dT
d
dual
1ˆ
1
1
2
1*2
2*2
2Cd
Eigenvalues
IEEE IGARSSVancouver, July 27, 2011
Parameterisation(1)2
*1 dT
ddual
T0,11 Tje sin,cos2
dT
dd tC 2*
jd
e
t
sincos
sin
cos2
2
2
0
0
1ˆ11 dd tt vs
SM
Partialvector
Change of basis Polar coordinates in the new basis
224
4
cossinsin
cos
SCRSCR
IEEE IGARSSVancouver, July 27, 2011
Parameterisation(2)
Tjd e 1
111 sin,cos
Tjd e 2
222 sin,cos
2
1
22
222
*1 1cossin
4cos
2
1cos
d
Td
12
We want to exploit a model to give a more direct interpretation
Eigenvalues model
with 0
Final relationship
12
modeldT
d 2*1
IEEE IGARSSVancouver, July 27, 2011
Final Relationship
,
SCR RedR
0 0 0
5 5 5.58 103.5 4.27
18 18 19.97 6.69 1.57
28 28 30.71 2.10 0.49
SCR RedR
IEEE IGARSSVancouver, July 27, 2011
Test onTanDEM-X data
(Kryckland, Sweden)
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
RGBTX
ML0.9
RGBRX
Red: HHBlue: VV
Green: HH-VV
18
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
RGBTX
ML0.98
RGBRX
5
IEEE IGARSSVancouver, July 27, 2011
TX
TX
Alp
haR
X
Eig
enva
lues
Ent
ropy
RX
0
0
90
1
IEEE IGARSSVancouver, July 27, 2011
Test onTanDEM-X data
(Wallerfing, Germany)
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
18
RGBTX
ML0.9
RGBRX
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
5
RGBTX
ML0.98
RGBRX
IEEE IGARSSVancouver, July 27, 2011
Alp
haR
X
Eig
enva
lues
Ent
ropy
RX
TX
TX
0
0
90
1
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
18
RGBTX
ML0.9
RGBRX
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
5
RGBTX
ML0.98
RGBRX
IEEE IGARSSVancouver, July 27, 2011
Alp
haR
X
Eig
enva
lues
Ent
ropy
RX
TX
TX
0
0
90
1
IEEE IGARSSVancouver, July 27, 2011
Conclusions
A test for ESM was developed for dual polarimetric data
The test is independently of the overall amplitude A parameterisation was developed in order to set
the parameters The algorithm was tested with TanDEM-X data Future: To find a link between interferometric
coherence and the test
IEEE IGARSSVancouver, July 27, 2011
Thank you for your attention.
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
18
RGBTX
ML0.9
RGBRX
IEEE IGARSSVancouver, July 27, 2011
Dete
ctor
Sam
ple
s: 15
x1
5E
NL: 6
3
5
RGBTX
ML0.98
RGBRX