SlideShare uma empresa Scribd logo
1 de 16
Baixar para ler offline
Two-point statistic of polarimetric SAR data provided
                     by a wavelet frame
                 The importance of being scaling…(suggested by Oscar Wilde)

                        G. F. De Grandi1, R.M. Lucas2, A. Bouvet1
European Commission Joint Research Centre                Institute of Geography and Earth Sciences
            21027, Ispra (VA), Italy                      Aberystwyth University, Aberystwyth, UK,
  e-mail: frank.de-grandi@jrc.ec.europa.eu                                SY23 3DB.
                                                                    e-mail: rml@aber.ac.uk
Bits of History
Problem Statement

                              T                             Two-point statistic
         Shh 2Shv Svv                Wavelet frame         provided by wavelet
                                      transform                coefficients
                Shv *
Phv ( Shh y )2Shv SvvShv ( x , y )
      x,

                                                               Wavelet
                                                               Variance




                                               w2 ( x)           f ( scale )
                                                  Structure Function

      Spatial random field
                                                                              2
              (SRF)                        f( )       f ( x)    f (x      )
What happens when the polarization basis is changed?

                              T          '                       sin 2
           Shh 2Shv Svv                        T
                                                                1 cos 2
           Shh 2Shv Svv


xpol                      '   '*
       P ( x, y, )        2   2    ( x, y, )
copol                     '   '*
        P ( x, y, )       1   1    ( x, y, )

                                   2                    Wavelet variance of
                              w ( x)           f( , )    the crospolar and
                                                        copolar power in the
                                                        rotated polarization
                                                               basis
Wavelet variance of PolSAR power in a rotated basis: a
            model for a WS stationary process
                                   Wavelet                         Power
     Power
                                  transform                     spectrum out
   spectrum in
       Shh 2Shv Svv
           G                         Hj                  Gout
               in


              Hj Fourier transform of the wavelet dilated at scale j



                    1                        2    ACF of wavelet coefficients computed
Rout                    Gin       Hj                in the frequency domain from the
                                                  power spectrum G of the input process


                                                    Wavelet variance at cross-polarized
       w i2             R out 0                          state with orientation ψ
Power spectrum of the crosspolar power in the rotated basis



S HH , 2S HV , S VV                  S           c1 Sc1
                                                     HV
                                                               c22 SVV 2 S HH
                                                                     cos
      Shh 2Shv Svv                                                 2
               Rotation to a linear basis with
                       orientation ψ
                                                       c2 in the new basis ψ2
                                                                      sin
                                                       Cross-polarized component

                                                                 2
                            2            *                              *
     Pab ( )              c Si S
                            i            i            ci c j Re Si S    j
                      i                          ij
                                                        Si    S HH , S HV , SVV

               Pab ( )                   ai X i
                                     i
HV2
                                                               Copol-xpol
           Power spectrum of the input process
                                        correlation2                   HH , VV2
                                                                                     Power-
                                                                                    Correlation
                                2        *                                 *
          Pab ( )           c Si S
                                i        i            ci c j Re S i S      j
                        i                        ij



                Pab ( )                          ai X i
                                             i

                                                                       *
 G ( )                      a            X                     a
Power spectrum in the rotated basis is a linear combination jof the
   in                    i        i              j                             X
                    i                       j
   power spectra (auto-correlation) and cross-spectra (cross
   correlation) between dyads of the vector in the H,V basis

                            2
 G ( )
     in
                        aG  i       Xi
                                                               aaG i   j       Xi ,X j
                    i                                     ij
A numerical model for the wavelet variance of a
     correlated K-distributed stationary clutter

 The Wavelet Scaling Polarimetric
       Signature (WASPS)
                                    w2 ( x)    f( , )
Shh 2Shv Svv




 Correlated K-distributed
     clutter, C. Oliver
From theory to practice
                       Supervised wavelet statistics analysis

    Single look complex slant range
            polarimetric data
           Shh 2Shv Svv
                                                                 2
                                                        W ( x)  s               f ( s, )
                                                                     Wavelet variance


                                       Multi-voice
                                                            4
Power synthesis over a range /
                                      wavelet frame
                                        transform
                                                       W ( x)
                                                           s
 azimuth transect in a linear
                                                                         2
                                                                                f ( s, )
   basis with orientation ψ                                 2
                                                      W ( x)
                                                           s
P          f S HH , 2 S HV , SVV
                                                            Wavelet kurtosis
                                                            (flatness factor)
ALOS PALSAR: Hawai’i island Papau Seamount
                                  Flat sea surface
    Data delivered by JAXA
      ALOS PI program


                                           Correlation   White
Shh 2Shv Svv                                 length      noise



                             Rayleigh
                              term
ALOS PALSAR: Hawai’i island Papau Seamount

        3
                                         Sea surface features
                Data delivered by JAXA
                  ALOS PI program



        Shh 2Shv Svv                                      Unbounded

                                           Periodicity
                                                         Correlation
                                                           length




    2



1
Data delivered by JAXA
  ALOS PI program        ALOS PALSAR: Hawai’i island Papau Seamount
                           Local
                          Maxima    Sea surface features
              3


                                                           Maximum
                                                             shift

             Shh 2Shv Svv



                                              Symmetric
                                              signature



         2



 1
A View from Fourier Kingdom
                                       Spectral Characteristics in the H-V Basis
                                                      Sea surface features
      VV VV*    HH VV*        HH HH*


   HH HV*       HV VV*

    HV HV*
               Shh 2Shv Svv                  Xspec(HH HH*,HH HV*)

                                                                                                 Xspec(Power, Crosscor)




               Xspec(HV HV*,HH HH*)
                                         Xspec(HV HV*,HH HV*)

                                                                    Xspec(Power, Power)




                 Flat sea surface               X   FLAT
                                                                                          Wind waves       X     WIND

                          Relative differences in energy normalized by HV power
Power Spectrum copol-xpol correlation (HH HV*):                          91%
Cross Power Spectrum (Power, Cross) (HH HH*,HV HH*):                     95%
                                                                                     X    WIND
                                                                                               X  /X
                                                                                                  FLAT              WIND
                                                                                                             *
Cross Power Spectrum (Power, Power)(HH HH*,HV HV*):                     77%                  HV HV
Going to Higher Resolution
                                           DLR Tandem-X dual-pol data
                Lulonga River – Basankuso - DRC

             Data provided by DLR AO-2010 VEGE0330




                                              Swamp




            Mosaic




                                 Lowland
Clear-cut
Going to Higher Resolution
                                   DLR Tandem-X InSAR Coherence
                Data provided by DLR AO-2010
                InSAR processing by SARMAP




                                               Swamp




           Mosaic




                                Lowland
Clearcut
CONCLUSIONS




I will not be the same without the jungle
  Ciao, Leb Wohl, Goodbye, Sayonara

Mais conteúdo relacionado

Mais procurados

Lesson 10: The Chain Rule (handout)
Lesson 10: The Chain Rule (handout)Lesson 10: The Chain Rule (handout)
Lesson 10: The Chain Rule (handout)Matthew Leingang
 
Electromagnetic Wave
Electromagnetic WaveElectromagnetic Wave
Electromagnetic WaveYong Heui Cho
 
IGARSS2011-TDX_TandemL_v1.pdf
IGARSS2011-TDX_TandemL_v1.pdfIGARSS2011-TDX_TandemL_v1.pdf
IGARSS2011-TDX_TandemL_v1.pdfgrssieee
 
On gradient Ricci solitons
On gradient Ricci solitonsOn gradient Ricci solitons
On gradient Ricci solitonsmnlfdzlpz
 
Nondeterministic testing of Sequential Quantum Logic Propositions on a Quant...
Nondeterministic testing of Sequential Quantum Logic  Propositions on a Quant...Nondeterministic testing of Sequential Quantum Logic  Propositions on a Quant...
Nondeterministic testing of Sequential Quantum Logic Propositions on a Quant...Matthew Leifer
 
Non-Gaussian perturbations from mixed inflaton-curvaton scenario
Non-Gaussian perturbations from mixed inflaton-curvaton scenarioNon-Gaussian perturbations from mixed inflaton-curvaton scenario
Non-Gaussian perturbations from mixed inflaton-curvaton scenarioCosmoAIMS Bassett
 
Second Order Perturbations During Inflation Beyond Slow-roll
Second Order Perturbations During Inflation Beyond Slow-rollSecond Order Perturbations During Inflation Beyond Slow-roll
Second Order Perturbations During Inflation Beyond Slow-rollIan Huston
 
Fission rate and_time_of_higly_excited_nuclei
Fission rate and_time_of_higly_excited_nucleiFission rate and_time_of_higly_excited_nuclei
Fission rate and_time_of_higly_excited_nucleiYuri Anischenko
 
Simulation of Magnetically Confined Plasma for Etch Applications
Simulation of Magnetically Confined Plasma for Etch ApplicationsSimulation of Magnetically Confined Plasma for Etch Applications
Simulation of Magnetically Confined Plasma for Etch Applicationsvvk0
 

Mais procurados (14)

Note chapter9 0708-edit-1
Note chapter9 0708-edit-1Note chapter9 0708-edit-1
Note chapter9 0708-edit-1
 
Lesson 10: The Chain Rule (handout)
Lesson 10: The Chain Rule (handout)Lesson 10: The Chain Rule (handout)
Lesson 10: The Chain Rule (handout)
 
Electromagnetics
ElectromagneticsElectromagnetics
Electromagnetics
 
Electromagnetic Wave
Electromagnetic WaveElectromagnetic Wave
Electromagnetic Wave
 
IGARSS2011-TDX_TandemL_v1.pdf
IGARSS2011-TDX_TandemL_v1.pdfIGARSS2011-TDX_TandemL_v1.pdf
IGARSS2011-TDX_TandemL_v1.pdf
 
[Download] rev chapter-9-june26th
[Download] rev chapter-9-june26th[Download] rev chapter-9-june26th
[Download] rev chapter-9-june26th
 
Transmission Line
Transmission LineTransmission Line
Transmission Line
 
On gradient Ricci solitons
On gradient Ricci solitonsOn gradient Ricci solitons
On gradient Ricci solitons
 
Nondeterministic testing of Sequential Quantum Logic Propositions on a Quant...
Nondeterministic testing of Sequential Quantum Logic  Propositions on a Quant...Nondeterministic testing of Sequential Quantum Logic  Propositions on a Quant...
Nondeterministic testing of Sequential Quantum Logic Propositions on a Quant...
 
Non-Gaussian perturbations from mixed inflaton-curvaton scenario
Non-Gaussian perturbations from mixed inflaton-curvaton scenarioNon-Gaussian perturbations from mixed inflaton-curvaton scenario
Non-Gaussian perturbations from mixed inflaton-curvaton scenario
 
Second Order Perturbations During Inflation Beyond Slow-roll
Second Order Perturbations During Inflation Beyond Slow-rollSecond Order Perturbations During Inflation Beyond Slow-roll
Second Order Perturbations During Inflation Beyond Slow-roll
 
Fission rate and_time_of_higly_excited_nuclei
Fission rate and_time_of_higly_excited_nucleiFission rate and_time_of_higly_excited_nuclei
Fission rate and_time_of_higly_excited_nuclei
 
Simulation of Magnetically Confined Plasma for Etch Applications
Simulation of Magnetically Confined Plasma for Etch ApplicationsSimulation of Magnetically Confined Plasma for Etch Applications
Simulation of Magnetically Confined Plasma for Etch Applications
 
15WCEE_620_Craifaleanu&Borcia
15WCEE_620_Craifaleanu&Borcia15WCEE_620_Craifaleanu&Borcia
15WCEE_620_Craifaleanu&Borcia
 

Destaque

THE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIES
THE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIESTHE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIES
THE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIESgrssieee
 
Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...
Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...
Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...grssieee
 
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...grssieee
 
DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...
DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...
DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...grssieee
 
GMES SPACE COMPONENT:PROGRAMMATIC STATUS
GMES SPACE COMPONENT:PROGRAMMATIC STATUSGMES SPACE COMPONENT:PROGRAMMATIC STATUS
GMES SPACE COMPONENT:PROGRAMMATIC STATUSgrssieee
 
NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...
NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...
NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...grssieee
 
SEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODEL
SEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODELSEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODEL
SEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODELgrssieee
 
A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...
A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...
A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...grssieee
 
WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...
WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...
WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...grssieee
 
TU1.L09.1 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSING
TU1.L09.1	 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSINGTU1.L09.1	 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSING
TU1.L09.1 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSINGgrssieee
 
POLCAL_shimada.pptx
POLCAL_shimada.pptxPOLCAL_shimada.pptx
POLCAL_shimada.pptxgrssieee
 
Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...
Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...
Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...grssieee
 
RFI_in_PALSAR_data.pdf
RFI_in_PALSAR_data.pdfRFI_in_PALSAR_data.pdf
RFI_in_PALSAR_data.pdfgrssieee
 
COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...
COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...
COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...grssieee
 
FR01_01_GlezetalIGARSS2011.ppt
FR01_01_GlezetalIGARSS2011.pptFR01_01_GlezetalIGARSS2011.ppt
FR01_01_GlezetalIGARSS2011.pptgrssieee
 
TU1.L09.3 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...
TU1.L09.3	 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...TU1.L09.3	 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...
TU1.L09.3 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...grssieee
 
3_Terrain catergorization for single Pol.ppt
3_Terrain catergorization for single Pol.ppt3_Terrain catergorization for single Pol.ppt
3_Terrain catergorization for single Pol.pptgrssieee
 
TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...
TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...
TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...grssieee
 

Destaque (20)

THE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIES
THE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIESTHE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIES
THE SENTINEL-1 MISSION AND ITS APPLICATION CAPABILITIES
 
Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...
Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...
Tangent height accuracy of Superconducting Submillimeter-Wave Limb-Emission S...
 
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
 
DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...
DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...
DEVELOPMENT OF ALGORITHMS AND PRODUCTS FOR SUPPORTING THE ITALIAN HYPERSPECTR...
 
GMES SPACE COMPONENT:PROGRAMMATIC STATUS
GMES SPACE COMPONENT:PROGRAMMATIC STATUSGMES SPACE COMPONENT:PROGRAMMATIC STATUS
GMES SPACE COMPONENT:PROGRAMMATIC STATUS
 
NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...
NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...
NOISE-ROBUST SPATIAL PREPROCESSING PRIOR TO ENDMEMBER EXTRACTION FROM HYPERSP...
 
SEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODEL
SEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODELSEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODEL
SEGMENTATION OF POLARIMETRIC SAR DATA WITH A MULTI-TEXTURE PRODUCT MODEL
 
A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...
A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...
A STABLE MODEL-BASED THREE-COMPONENT DECOMPOSITION APPROACH FOR POLARIMETRIC ...
 
WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...
WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...
WE3.L09 - EVALUATION OF SYSTEM POLARIZATION QUALITY FOR POLARIMETRIC SAR IMAG...
 
TU1.L09.1 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSING
TU1.L09.1	 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSINGTU1.L09.1	 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSING
TU1.L09.1 - APPLICATION OF POLARIMETRIC SAR TO EARTH REMOTE SENSING
 
POLCAL_shimada.pptx
POLCAL_shimada.pptxPOLCAL_shimada.pptx
POLCAL_shimada.pptx
 
Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...
Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...
Model-based Polarimetric Decomposition using PolInSAR Coherence_v11(FILEminim...
 
RFI_in_PALSAR_data.pdf
RFI_in_PALSAR_data.pdfRFI_in_PALSAR_data.pdf
RFI_in_PALSAR_data.pdf
 
COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...
COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...
COMPARISON-OF-SHIP-DETECTION-PERFORMANCE-BASED-ON-THE-DEGREE-OF-POLARIZATION-...
 
FR01_01_GlezetalIGARSS2011.ppt
FR01_01_GlezetalIGARSS2011.pptFR01_01_GlezetalIGARSS2011.ppt
FR01_01_GlezetalIGARSS2011.ppt
 
4-1 foret
4-1 foret4-1 foret
4-1 foret
 
Polarization signature analysis of paddy rice in southern china
Polarization signature analysis of paddy rice in southern chinaPolarization signature analysis of paddy rice in southern china
Polarization signature analysis of paddy rice in southern china
 
TU1.L09.3 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...
TU1.L09.3	 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...TU1.L09.3	 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...
TU1.L09.3 - Fully Polarimetric TerraSAR-X Data: Data Quality and Scientific ...
 
3_Terrain catergorization for single Pol.ppt
3_Terrain catergorization for single Pol.ppt3_Terrain catergorization for single Pol.ppt
3_Terrain catergorization for single Pol.ppt
 
TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...
TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...
TU3.L09 - AN OVERVIEW OF RECENT ADVANCES IN POLARIMETRIC SAR INFORMATION EXTR...
 

Semelhante a TWO-POINT STATISTIC OF POLARIMETRIC SAR DATA TWO-POINT STATISTIC OF POLARIMETRIC SAR DATA

Existence of Hopf-Bifurcations on the Nonlinear FKN Model
Existence of Hopf-Bifurcations on the Nonlinear FKN ModelExistence of Hopf-Bifurcations on the Nonlinear FKN Model
Existence of Hopf-Bifurcations on the Nonlinear FKN ModelIJMER
 
Research Inventy : International Journal of Engineering and Science
Research Inventy : International Journal of Engineering and ScienceResearch Inventy : International Journal of Engineering and Science
Research Inventy : International Journal of Engineering and Scienceresearchinventy
 
Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)IJERD Editor
 
IGARSS2011-TDX_Kostas_v3.pdf
IGARSS2011-TDX_Kostas_v3.pdfIGARSS2011-TDX_Kostas_v3.pdf
IGARSS2011-TDX_Kostas_v3.pdfgrssieee
 
Band structure
Band structureBand structure
Band structurenirupam12
 
Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...
Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...
Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...yydcug
 
Introduction to nanophotonics
Introduction to nanophotonicsIntroduction to nanophotonics
Introduction to nanophotonicsajayrampelli
 
Dynamic model of pmsm dal y.ohm
Dynamic model of pmsm dal y.ohmDynamic model of pmsm dal y.ohm
Dynamic model of pmsm dal y.ohmwarluck88
 
Dynamic model of pmsm (lq and la)
Dynamic model of pmsm  (lq and la)Dynamic model of pmsm  (lq and la)
Dynamic model of pmsm (lq and la)warluck88
 
The International Journal of Engineering and Science (IJES)
The International Journal of Engineering and Science (IJES)The International Journal of Engineering and Science (IJES)
The International Journal of Engineering and Science (IJES)theijes
 
Further discriminatory signature of inflation
Further discriminatory signature of inflationFurther discriminatory signature of inflation
Further discriminatory signature of inflationLaila A
 
Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...
Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...
Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...IJMER
 
Decay of Metastable States in Spin-Crossover Solids
Decay of Metastable States in Spin-Crossover SolidsDecay of Metastable States in Spin-Crossover Solids
Decay of Metastable States in Spin-Crossover Solidsrjchacko
 
Tebaldini.pdf
Tebaldini.pdfTebaldini.pdf
Tebaldini.pdfgrssieee
 

Semelhante a TWO-POINT STATISTIC OF POLARIMETRIC SAR DATA TWO-POINT STATISTIC OF POLARIMETRIC SAR DATA (20)

Existence of Hopf-Bifurcations on the Nonlinear FKN Model
Existence of Hopf-Bifurcations on the Nonlinear FKN ModelExistence of Hopf-Bifurcations on the Nonlinear FKN Model
Existence of Hopf-Bifurcations on the Nonlinear FKN Model
 
Research Inventy : International Journal of Engineering and Science
Research Inventy : International Journal of Engineering and ScienceResearch Inventy : International Journal of Engineering and Science
Research Inventy : International Journal of Engineering and Science
 
Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)
 
IGARSS2011-TDX_Kostas_v3.pdf
IGARSS2011-TDX_Kostas_v3.pdfIGARSS2011-TDX_Kostas_v3.pdf
IGARSS2011-TDX_Kostas_v3.pdf
 
Lecture3
Lecture3Lecture3
Lecture3
 
Interference
InterferenceInterference
Interference
 
Attitude Dynamics of Re-entry Vehicle
Attitude Dynamics of Re-entry VehicleAttitude Dynamics of Re-entry Vehicle
Attitude Dynamics of Re-entry Vehicle
 
Band structure
Band structureBand structure
Band structure
 
Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...
Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...
Mechanistic rate decline analysis in shale gas reservoirs@dr. george stewart[...
 
ECNG 6503 #1
ECNG 6503 #1 ECNG 6503 #1
ECNG 6503 #1
 
Introduction to nanophotonics
Introduction to nanophotonicsIntroduction to nanophotonics
Introduction to nanophotonics
 
N24108113
N24108113N24108113
N24108113
 
Dynamic model of pmsm dal y.ohm
Dynamic model of pmsm dal y.ohmDynamic model of pmsm dal y.ohm
Dynamic model of pmsm dal y.ohm
 
Dynamic model of pmsm (lq and la)
Dynamic model of pmsm  (lq and la)Dynamic model of pmsm  (lq and la)
Dynamic model of pmsm (lq and la)
 
Figotin Bath 2005
Figotin Bath 2005Figotin Bath 2005
Figotin Bath 2005
 
The International Journal of Engineering and Science (IJES)
The International Journal of Engineering and Science (IJES)The International Journal of Engineering and Science (IJES)
The International Journal of Engineering and Science (IJES)
 
Further discriminatory signature of inflation
Further discriminatory signature of inflationFurther discriminatory signature of inflation
Further discriminatory signature of inflation
 
Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...
Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...
Losses in Waveguide and Substrate Integrated Waveguide (SIW) For Ku Band: A C...
 
Decay of Metastable States in Spin-Crossover Solids
Decay of Metastable States in Spin-Crossover SolidsDecay of Metastable States in Spin-Crossover Solids
Decay of Metastable States in Spin-Crossover Solids
 
Tebaldini.pdf
Tebaldini.pdfTebaldini.pdf
Tebaldini.pdf
 

Mais de grssieee

PROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETER
PROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETERPROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETER
PROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETERgrssieee
 
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...grssieee
 
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...grssieee
 
test 34mb wo animations
test  34mb wo animationstest  34mb wo animations
test 34mb wo animationsgrssieee
 
2011_Fox_Tax_Worksheets.pdf
2011_Fox_Tax_Worksheets.pdf2011_Fox_Tax_Worksheets.pdf
2011_Fox_Tax_Worksheets.pdfgrssieee
 
DLR open house
DLR open houseDLR open house
DLR open housegrssieee
 
DLR open house
DLR open houseDLR open house
DLR open housegrssieee
 
DLR open house
DLR open houseDLR open house
DLR open housegrssieee
 
Tana_IGARSS2011.ppt
Tana_IGARSS2011.pptTana_IGARSS2011.ppt
Tana_IGARSS2011.pptgrssieee
 
Solaro_IGARSS_2011.ppt
Solaro_IGARSS_2011.pptSolaro_IGARSS_2011.ppt
Solaro_IGARSS_2011.pptgrssieee
 
Sakkas.ppt
Sakkas.pptSakkas.ppt
Sakkas.pptgrssieee
 
Lagios_et_al_IGARSS_2011.ppt
Lagios_et_al_IGARSS_2011.pptLagios_et_al_IGARSS_2011.ppt
Lagios_et_al_IGARSS_2011.pptgrssieee
 
IGARSS-GlobWetland-II_2011-07-20_v2-0.ppt
IGARSS-GlobWetland-II_2011-07-20_v2-0.pptIGARSS-GlobWetland-II_2011-07-20_v2-0.ppt
IGARSS-GlobWetland-II_2011-07-20_v2-0.pptgrssieee
 
igarss_2011_breunig_DLR_TDM_water_mask.ppt
igarss_2011_breunig_DLR_TDM_water_mask.pptigarss_2011_breunig_DLR_TDM_water_mask.ppt
igarss_2011_breunig_DLR_TDM_water_mask.pptgrssieee
 
Liwenchao.ppt
Liwenchao.pptLiwenchao.ppt
Liwenchao.pptgrssieee
 
Liwenchao.ppt
Liwenchao.pptLiwenchao.ppt
Liwenchao.pptgrssieee
 

Mais de grssieee (20)

PROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETER
PROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETERPROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETER
PROGRESSES OF DEVELOPMENT OF CFOSAT SCATTEROMETER
 
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
 
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
EO-1/HYPERION: NEARING TWELVE YEARS OF SUCCESSFUL MISSION SCIENCE OPERATION A...
 
Test
TestTest
Test
 
test 34mb wo animations
test  34mb wo animationstest  34mb wo animations
test 34mb wo animations
 
Test 70MB
Test 70MBTest 70MB
Test 70MB
 
Test 70MB
Test 70MBTest 70MB
Test 70MB
 
2011_Fox_Tax_Worksheets.pdf
2011_Fox_Tax_Worksheets.pdf2011_Fox_Tax_Worksheets.pdf
2011_Fox_Tax_Worksheets.pdf
 
DLR open house
DLR open houseDLR open house
DLR open house
 
DLR open house
DLR open houseDLR open house
DLR open house
 
DLR open house
DLR open houseDLR open house
DLR open house
 
Tana_IGARSS2011.ppt
Tana_IGARSS2011.pptTana_IGARSS2011.ppt
Tana_IGARSS2011.ppt
 
Solaro_IGARSS_2011.ppt
Solaro_IGARSS_2011.pptSolaro_IGARSS_2011.ppt
Solaro_IGARSS_2011.ppt
 
Sakkas.ppt
Sakkas.pptSakkas.ppt
Sakkas.ppt
 
Rocca.ppt
Rocca.pptRocca.ppt
Rocca.ppt
 
Lagios_et_al_IGARSS_2011.ppt
Lagios_et_al_IGARSS_2011.pptLagios_et_al_IGARSS_2011.ppt
Lagios_et_al_IGARSS_2011.ppt
 
IGARSS-GlobWetland-II_2011-07-20_v2-0.ppt
IGARSS-GlobWetland-II_2011-07-20_v2-0.pptIGARSS-GlobWetland-II_2011-07-20_v2-0.ppt
IGARSS-GlobWetland-II_2011-07-20_v2-0.ppt
 
igarss_2011_breunig_DLR_TDM_water_mask.ppt
igarss_2011_breunig_DLR_TDM_water_mask.pptigarss_2011_breunig_DLR_TDM_water_mask.ppt
igarss_2011_breunig_DLR_TDM_water_mask.ppt
 
Liwenchao.ppt
Liwenchao.pptLiwenchao.ppt
Liwenchao.ppt
 
Liwenchao.ppt
Liwenchao.pptLiwenchao.ppt
Liwenchao.ppt
 

TWO-POINT STATISTIC OF POLARIMETRIC SAR DATA TWO-POINT STATISTIC OF POLARIMETRIC SAR DATA

  • 1. Two-point statistic of polarimetric SAR data provided by a wavelet frame The importance of being scaling…(suggested by Oscar Wilde) G. F. De Grandi1, R.M. Lucas2, A. Bouvet1 European Commission Joint Research Centre Institute of Geography and Earth Sciences 21027, Ispra (VA), Italy Aberystwyth University, Aberystwyth, UK, e-mail: frank.de-grandi@jrc.ec.europa.eu SY23 3DB. e-mail: rml@aber.ac.uk
  • 3. Problem Statement T Two-point statistic Shh 2Shv Svv Wavelet frame provided by wavelet transform coefficients Shv * Phv ( Shh y )2Shv SvvShv ( x , y ) x, Wavelet Variance w2 ( x) f ( scale ) Structure Function Spatial random field 2 (SRF) f( ) f ( x) f (x )
  • 4. What happens when the polarization basis is changed? T ' sin 2 Shh 2Shv Svv T 1 cos 2 Shh 2Shv Svv xpol ' '* P ( x, y, ) 2 2 ( x, y, ) copol ' '* P ( x, y, ) 1 1 ( x, y, ) 2 Wavelet variance of w ( x) f( , ) the crospolar and copolar power in the rotated polarization basis
  • 5. Wavelet variance of PolSAR power in a rotated basis: a model for a WS stationary process Wavelet Power Power transform spectrum out spectrum in Shh 2Shv Svv G Hj Gout in Hj Fourier transform of the wavelet dilated at scale j 1 2 ACF of wavelet coefficients computed Rout Gin Hj in the frequency domain from the power spectrum G of the input process Wavelet variance at cross-polarized w i2 R out 0 state with orientation ψ
  • 6. Power spectrum of the crosspolar power in the rotated basis S HH , 2S HV , S VV S c1 Sc1 HV c22 SVV 2 S HH cos Shh 2Shv Svv 2 Rotation to a linear basis with orientation ψ c2 in the new basis ψ2 sin Cross-polarized component 2 2 * * Pab ( ) c Si S i i ci c j Re Si S j i ij Si S HH , S HV , SVV Pab ( ) ai X i i
  • 7. HV2 Copol-xpol Power spectrum of the input process correlation2 HH , VV2 Power- Correlation 2 * * Pab ( ) c Si S i i ci c j Re S i S j i ij Pab ( ) ai X i i * G ( ) a X a Power spectrum in the rotated basis is a linear combination jof the in i i j X i j power spectra (auto-correlation) and cross-spectra (cross correlation) between dyads of the vector in the H,V basis 2 G ( ) in aG i Xi aaG i j Xi ,X j i ij
  • 8. A numerical model for the wavelet variance of a correlated K-distributed stationary clutter The Wavelet Scaling Polarimetric Signature (WASPS) w2 ( x) f( , ) Shh 2Shv Svv Correlated K-distributed clutter, C. Oliver
  • 9. From theory to practice Supervised wavelet statistics analysis Single look complex slant range polarimetric data Shh 2Shv Svv 2 W ( x) s f ( s, ) Wavelet variance Multi-voice 4 Power synthesis over a range / wavelet frame transform W ( x) s azimuth transect in a linear 2 f ( s, ) basis with orientation ψ 2 W ( x) s P f S HH , 2 S HV , SVV Wavelet kurtosis (flatness factor)
  • 10. ALOS PALSAR: Hawai’i island Papau Seamount Flat sea surface Data delivered by JAXA ALOS PI program Correlation White Shh 2Shv Svv length noise Rayleigh term
  • 11. ALOS PALSAR: Hawai’i island Papau Seamount 3 Sea surface features Data delivered by JAXA ALOS PI program Shh 2Shv Svv Unbounded Periodicity Correlation length 2 1
  • 12. Data delivered by JAXA ALOS PI program ALOS PALSAR: Hawai’i island Papau Seamount Local Maxima Sea surface features 3 Maximum shift Shh 2Shv Svv Symmetric signature 2 1
  • 13. A View from Fourier Kingdom Spectral Characteristics in the H-V Basis Sea surface features VV VV* HH VV* HH HH* HH HV* HV VV* HV HV* Shh 2Shv Svv Xspec(HH HH*,HH HV*) Xspec(Power, Crosscor) Xspec(HV HV*,HH HH*) Xspec(HV HV*,HH HV*) Xspec(Power, Power) Flat sea surface X FLAT Wind waves X WIND Relative differences in energy normalized by HV power Power Spectrum copol-xpol correlation (HH HV*): 91% Cross Power Spectrum (Power, Cross) (HH HH*,HV HH*): 95% X WIND X /X FLAT WIND * Cross Power Spectrum (Power, Power)(HH HH*,HV HV*): 77% HV HV
  • 14. Going to Higher Resolution DLR Tandem-X dual-pol data Lulonga River – Basankuso - DRC Data provided by DLR AO-2010 VEGE0330 Swamp Mosaic Lowland Clear-cut
  • 15. Going to Higher Resolution DLR Tandem-X InSAR Coherence Data provided by DLR AO-2010 InSAR processing by SARMAP Swamp Mosaic Lowland Clearcut
  • 16. CONCLUSIONS I will not be the same without the jungle Ciao, Leb Wohl, Goodbye, Sayonara