TEST OF EQUI-SCATTERING MECHANISMS FOR POLINSAR APPLICATIONS WITH TANDEM-X

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


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


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


Quad vs Dual polarimetry


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.


ESM test


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


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


Threshold settings:dual polarimetry


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


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


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


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


Test onTanDEM-X data

(Kryckland, Sweden)


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

RGBTX

ML0.9

RGBRX

Red: HHBlue: VV

Green: HH-VV

18


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

RGBTX

ML0.98

RGBRX

5


TX

TX

Alp

haR

X

Eig

enva

lues

Ent

ropy

RX

0

0

90

1


Test onTanDEM-X data

(Wallerfing, Germany)


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

18

RGBTX

ML0.9

RGBRX


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

5

RGBTX

ML0.98

RGBRX


Alp

haR

X

Eig

enva

lues

Ent

ropy

RX

TX

TX

0

0

90

1


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

18

RGBTX

ML0.9

RGBRX


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

5

RGBTX

ML0.98

RGBRX


Alp

haR

X

Eig

enva

lues

Ent

ropy

RX

TX

TX

0

0

90

1


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


Thank you for your attention.


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

18

RGBTX

ML0.9

RGBRX


Dete

ctor

Sam

ple

s: 15

x1

5E

NL: 6

3

5

RGBTX

ML0.98

RGBRX

TEST OF EQUI-SCATTERING MECHANISMS FOR POLINSAR APPLICATIONS WITH TANDEM-X

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