Advanced SAR Polarimetry Eric POTTIER Monday 3 September, Lecture D1Lb5-3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 1
$y RADAR POLARIMETRY $x r Ezt (, ) $z Radar Polarimetry (Polar : polarisation Metry: measure) is the science of acquiring, processing and analysing the polarization state of an electromagnetic field Radar Polarimetry deals with the full vector nature of polarized electromagnetic waves 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER
RADAR POLARIMETRY The POLARISATION information Contained in the waves backscattered from a given medium is highly related to: its geometrical structure reflectivity, shape and orientation its geophysical properties such as humidity, roughness, 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 3
APPLICATIONS OF RADAR POLARIMETRY IN REMOTE SENSING (EARTH MONITORING) AGRICULTURE LAND USE METEOROLOGY HYDROLOGY GEOLOGY FORESTRY SEA / ICE OCEANOGRAPHY TOPOGRAPHY CARTOGRAPHY SECURITY HUMANITARIAN DEMINING 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 4
SCATTERING COEFFICIENT R X T A X X X T X X X X TRANSMITTER: RECEIVER: X X R X SXX SXX SXX SXX SCATTERING COEFFICIENT S XX 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 5
$y $x POLARISATION ELLIPSE r Ezt (, ) $z r E REAL ELECTRIC FIELD VECTOR ( z,t) E = E E x y z = E = E = x y cos cos ( ωt kz δ ) x ( ωt kz δ ) y 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 6
$y $x POLARISATION ELLIPSE r Ezt (, ) $y r Ez ( t), $x z $z THE REAL ELECTRIC FIELD VECTOR MOVES IN TIME ALONG AN ELLIPSE E E x x E E x x E E y y cos y ( δ ) + = sin ( δ ) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 7 E E y With: δ = δ y δ x
$y $y r Ezt (, = ) $x A φ α $,$ zn φ τ $x φ : ORIENTATION ANGLE A : WAVE AMPLITUDE π π φ α : ABSOLUTE PHASE τ : ELLIPTICITY ANGLE π τ 4 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 8
POLARISATION HANDENESS ROTATION SENSE: LOOKING INTO THE DIRECTION OF THE WAVE PROPAGATION $y $x +τ τ $z ANTI-CLOCKWISE ROTATION CLOCKWISE ROTATION LEFT HANDED POLARISATION RIGHT HANDED POLARISATION ELLIPTICITY ANGLE : τ > π π τ 4 4 ELLIPTICITY ANGLE : τ < 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 9
HORIZONTAL POLARISATION STATE $y $z r Ezt (, ) $x H JONES VECTOR 1 = φ = τ = VERTICAL POLARISATION STATE $y $z r Ezt (, ) $x V = 1 π φ = τ = LEFT CIRCULAR POLARISATION STATE $y $z r E( z, t) $x 1 1 LC = j π π φ + π τ = + 4 RIGHT CIRCULAR POLARISATION STATE $y $z r E( z, t) $x 1 1 RC = j π π φ + π τ = 4 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 1
R X X X T T R Y A X A Y X X X X R X S XX S XX S XX S XX R Y TRANSMITTER: RECEIVERS: X X & Y S YX S YX S YX S YX JONES VECTORS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 11 E S = WAVE POLARIMETRY S S XX YX
R X X Y T T R Y A X A Y X Y X Y R X S XX S XY S XX S XY R Y TRANSMITTER: RECEIVERS: X & Y X & Y S YX S YY S YX S YY SINCLAIR MATRICES 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 1 [ S] = S S XX YX SCATTERING POLARIMETRY S S XY YY
POLARIMETRIC AIRBORNE SAR SENSORS AES1 InterMap Technologies (D) GulfStream Commander X-Band (HH), P-Band (Quad) AIRSAR NASA / JPL (USA) DC8 P, L, C-Band (Quad) AuSAR - INGARA D.S.T.O (Aus) DC3 (97) KingAir 35 () Beach 19C X-Band (Quad) DOSAR EADS / Dornier GmbH (D) DO 8 (89), C16 (98), G () S, C, X-Band (Quad), Ka-Band (VV) ESAR DLR (D) DO 8 P, L, S-Band (Quad) C, X-Band (Sngl) EMISAR DCRS (DK) G3 Aircraft L, C-Band (Quad) MEMPHIS / AER II-PAMIR FGAN (D) Transal C16 Ka, W-Band (Quad) / X-Band (Quad) STORM UVSQ / CETP (F) Merlin IV C-Band (Quad) PHARUS TNO - FEL (NL) CESSNA Citation II C-Band (Quad) PISAR NASDA / CRL (J) GulfStream L, X-Band (Quad) RAMSES ONERA (F) Transal C16 P, L, S, C, X, Ku, Ka, W-Band (Quad) SAR58 Environnement Canada (CA) Convair CV-58 C, X-Band (Quad) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 13
POLARIMETRIC SPACEBORNE SAR SENSORS SIR-C NASA / JPL (USA) April 1994 (1 days) October 1994 (1 days) L, C-Band (Quad) ENVISAT / ASAR ESA (EU) C-Band (Sngl / Twin) ALOS / PALSAR JAXA (J) January 6 L-Band (Sngl / Twin / Quad) TerraSAR-X DLR / EADS-ASTRIUM / InfoTerra GmbH June 7 X-Band (Sngl / Twin / Quad?) RADARSAT CSA / MDA (CA) 7 C-Band (Quad) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 14
ESAR DO 8 P, L, S-Band (Quad) C, X-Band (Sngl) P-Band Experimental Synthetic Aperture Radar System X-Band L-Band C-Band Courtesy of 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 15
ALLING P-Band C-Band L-Band Deutsches Zentrum für Luft- und Raumfahrt Institut für Hochfrequenztechnik und Radarsysteme Google Earth 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 16
ALLING Tx Rx Tx Rx Tx Rx HH db HV db VV db -3dB -15dB db 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 17
Google Earth HH HV VV 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 18
H V POLARIMETRIC DESCRIPTORS [S] SINCLAIR Matrix S S HH HV [ S] = VH S S VV TRANSMITTER: RECEIVERS: H & V H & V k [T] Target Vector 3x3 COHERENCY Matrix 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 19
BACKSCATTERING MATRIX or SINCLAIR MATRIX RECIPROCITY THEOREM S = BSA XY S BSA YX E E s X s Y = e r jkr S S XX XY S S XY YY E E i X i Y DEFINED IN THE LOCAL COORDINATES SYSTEM [S] IS INDEPENDENT OF THE POLARISATION STATE OF THE INCIDENCE WAVE [S] IS DEPENDENT ON THE FREQUENCY AND THE GEOMETRICAL AND ELECTRICAL PROPERTIES OF THE SCATTERER TOTAL SCATTERED POWER ([ S] ) = Trace [ S][ S] ( T* ) = S + S S Span + 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER XX XY YY
S S VECTORIZATION OF [S] S HH HV [ S] = k = V ([ S] ) = Trace( [ S][ ψ ]) HV S VV SET OF x COMPLEX MATRICES FROM THE PAULI MATRICES GROUP 1 [ ] ψ P = 1, 1 1, 1 1 1 TARGET VECTOR 1 k = S + S S S S [ ] HH VV HH VV HV FROBENIUS NORM = SPAN [S] ( ) ([ ]) [ ][ ] T* * HH HV VV k = k k = span S = Trace S S = S + S + S 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 1 T
TARGET VECTOR k 1 k = S + S S S S [ ] HH VV HH VV HV T COHERENCY MATRIX [T] [ T] * T = k k = A C jd H + jg C + jd B + B E+ jf H jg E jf B B HERMITIAN MATRIX - RANK 1 A, B+B, B-B : HUYNEN TARGET GENERATORS [T] is closer related to Physical and Geometrical Properties of the Scattering Process, and thus allows a better and direct physical interpretation 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER
TARGET GENERATORS PHYSICAL INTERPRETATION SINGLE BOUNCE SCATTERING (ROUGH SURFACE) DOUBLE BOUNCE SCATTERING VOLUME SCATTERING T + 11 = A = SHH SVV T = 33 = B B SHV T = B + B = SHH SVV 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 3
ALLING HH+VV db HV db HH-VV db -3dB -15dB db 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 4
Google Earth HH+VV HV HH-VV T 11 =A T 33 =B -B T =B +B 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 5
ELLIPTICAL BASIS TRANSFORMATION [ S ] ( B,B ) U( A,A ) a( B,B ) SINCLAIR MATRIX [ ] T [ S ][ ] ( A,A ) U( A,A ) a( B, ) = B CON-SIMILARITY TRANSFORMATION [ U ] ( A,A ) a( B, ) B [ T ] ( B,B ) U 3( A,A ) a( B,B ) U() SPECIAL UNITARY ELLIPTICAL BASIS TRANSFORMATION MATRIX COHERENCY MATRIX [ ][ ][ ] T 1 ( A,A ) U 3( A,A ) ( B,B ) = a SIMILARITY TRANSFORMATION [ U ] 3 ( A,A ) a( B, ) B U(3) SPECIAL UNITARY ELLIPTICAL BASIS TRANSFORMATION MATRIX 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 6
ELLIPTICAL BASIS TRANSFORMATION [ U] = cos sin SPECIAL UNITARY SU() GROUP jα ( φ ) sin( φ ) cos( τ ) j sin( τ ) e ( ) ( ) ( ) ( ) jα φ cos φ j sin τ cos τ e [ U ( φ )] [ U ( τ )] [ ( α )] U 1 cos ( ) ( ) ( ) ( α ) ( ) ( α ) cos τ j sin τ cos α j sin ( φ ) sin( φ ) 1 j sin α cos ( φ ) cos( φ ) ( ) ( ) j sin τ cos τ [U 3 (φ)] [U 3 (τ)] [U 3 (α)] sin ( φ τ, α ) SPECIAL UNITARY SU(3) GROUP, POLARIZATION ELLIPSE PARAMETERS 1 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 7
ELLIPTICAL BASIS TRANSFORMATION $y $x $z Pauli Color Coding (H,V) Pauli Color Coding (+45,-45) Ernst LÜNEBURG (PIERS95 - Pasadena) Pauli Color Coding (L,R) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 8
POLARIMETRIC TARGET DIMENSION POLARIMETRIC GOLDEN NUMBER 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 9
S S XX XY [ S] = YX S S YY 5 DEGREES OF FREEDOM S φ XX, XY XX S XY, φ, S YY YY XX COHERENCY MATRIX [T] 9 HUYNEN REAL PARAMETERS (A, B, B, C, D, E, F, G, H) TARGET MONOSTATIC POLARIMETRIC «DIMENSION» = 5 9-5 = 4 TARGET EQUATIONS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 3
[ T ] PURE TARGET MONOSTATIC CASE = k k *T A = C + jd H jg C jd B E + B jf H + jg E + jf B B 3x3 HERMITIAN MATRIX - RANK 1 A C H ( B + B) C D = A ( B B) A DG ( B B) EH GF = D( B B) A F CG DH = G( B + B) ( B + B) CE DF = E + CH 9 PRINCIPAL MINORS = = F 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 31 B B G E H = = + FH GE = + FC ED =
S φ XX, XY XX S XY, φ, S YY YY XX S S XX XY [ S] = 5 DEGREES OF FREEDOM COHERENCY MATRIX [T] YX S S YY 9 HUYNEN REAL PARAMETERS (A, B, B, C, D, E, F, G, H) TARGET MONOSTATIC POLARIMETRIC «DIMENSION» = 5 9-5 = 4 TARGET EQUATIONS A A ( B + B) ( B B) A E A F = C = G + D + H = CH DG = CG + DH 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 3
POLARIMETRIC REMOTE SENSING POLARIMETRIC SAR DATA SET(S) POLSAR - POLINSAR DATA PROCESSING QUALITATIVE ANALYSIS TWO-STEP INVERSION PROCEDURE POLARIMETRIC DESCRIPTORS EXTRACTION BIO and GEO PHYSICAL PARAMETERS MODEL-BASED PHYSICAL PARAMETER INVERSION QUANTITATIVE ANALYSIS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 33
YY YX XY XX POL-SAR PROCESSING PHENOMENOLOGIC QUALITATIVE ANALYSIS POLARIMETRIC SPECKLE FILTERING POLARIMETRIC TARGET DECOMPOSITION POLARIMETRIC CLASSIFICATION MONO/DUAL CHANNELS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 34
YY YX XY XX POL-SAR PROCESSING PHENOMENOLOGIC QUALITATIVE ANALYSIS POLARIMETRIC SPECKLE FILTERING POLARIMETRIC TARGET DECOMPOSITION POLARIMETRIC CLASSIFICATION MONO/DUAL CHANNELS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 35
SPECKLE FILTERING SPECKLE PHENOMENON DISTORTION OF THE INTERPRETATION SPECKLE FILTERING HOMOGENEOUS AREA HETEROGENEOUS AREA SPECKLE REDUCTION (RADIOMETRIC RESOLUTION) DETAILS PRESERVATION (SPATIAL RESOLUTION) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 36
SPECKLE FILTERING SPECKLE FILTER AVERAGING DATA [ ] T = *T kk SECOND ORDER STATISTICS COHERENCY MATRICES 1 N N [ T ] = i= 1 *T k i k i SMOOTHING AVERAGING CONCEPT OF THE DISTRIBUTED TARGET 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 37
TARGET DECOMPOSITIONS PURE TARGET COHERENCY MATRIX [T] POLARIMETRIC DISTRIBUTED TARGET «DIMENSION»= 5 9 REAL DEPENDANT HUYNEN PARAMETERS (A,B,B,C,D,E,F,G,H) 9-5 = 4 TARGET EQUATIONS A A ( B + B) ( B B) A E A F = C = G + H 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 38 + D = CH DG = CG + DH
TARGET DECOMPOSITIONS DISTRIBUTED TARGET COHERENCY MATRIX <[T]> POLARIMETRIC DISTRIBUTED TARGET «DIMENSION»= 9 9 REAL INDEPENDANT HUYNEN PARAMETERS (<A>,<B>,<B>,<C>,<D>,<E>,<F>,<G>,<H>) 9 TARGET INEQUATIONS ( ) ( ) ( ) ( ) ( ) ( ) A B + B C + D H B + B C E + D F A B B G + H G B + B C F D E A E C H D G C B B H E + F G A F C G + D H D B B F H G E B B + E + F 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 39
TARGET DECOMPOSITIONS [ S ] 1 [ T ] 1 [ S ] [ T ] [ S ] 3 [ T ] 3 [ S ] N [ T ] N DECOMPOSITION THEOREM 1 N i = N i= 1 [ T ] = [ ] [ T ] T i DISTRIBUTED TARGET or AVERAGED TARGET MEAN TARGET 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 4
YY YX XY XX POL-SAR PROCESSING PHENOMENOLOGIC QUALITATIVE ANALYSIS POLARIMETRIC SPECKLE FILTERING POLARIMETRIC TARGET DECOMPOSITION POLARIMETRIC CLASSIFICATION MONO/DUAL CHANNELS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 41
[ S ] COHERENT DECOMPOSITION [ T ] [ C ] AZIMUTHAL SYMMETRY E. KROGAGER (199) W.L. CAMERON (199) EIGENVECTORS BASED DECOMPOSITION S.R. CLOUDE (1985) MODEL BASED DECOMPOSITION A.J. FREEMAN S.L. DURDEN (199) Y. YAMAGUSHI (5) [ K ] TARGET DICHOTOMY W.A. HOLM (1988) EIGENVECTORS / EIGENVALUES ANALYSIS & MODEL BASED DECOMPOSITION J.J. VAN ZYL (199) J.R. HUYNEN (197) R.M. BARNES (1988) EIGENVECTORS / EIGENVALUES ANALYSIS ENTROPY / ANISOTROPY / ALPHA S.R. CLOUDE - E. POTTIER (1996-1997) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 4
THE H / A / α POLARIMETRIC TARGET DECOMPOSITION THEOREM S.R. CLOUDE - E. POTTIER (1995-1996) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 43
λ1 1 T = U U = u u u 1 3 λ u u u λ3 [ ] [ 3][ Σ][ 3] H / A / α TARGET VECTOR LOCAL ESTIMATE OF THE COHERENCY MATRIX DECOMPOSITION 1 k = S + S S S S EIGENVECTORS / EIGENVALUES ANALYSIS ORTHOGONAL EIGENVECTORS [ XX YY XX YY XY ] 1 N 1 N N N i= 1 i= 1 * [ T] = ki k T i = [ Ti ] 1 3 REAL EIGENVALUES λ > λ > λ 1 3 P λ i i = 3 λ k k= 1 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 44 T * T
H / A / α DECOMPOSITION [ U 3 ] = PARAMETERISATION OF THE SU(3) UNITARY MATRIX cos( α 1) cos( α ) cos( α 3) j sin( )cos( )e 1 j α sin( )cos( )e sin( )cos( )e 1 β1 α β α 3 β3 j sin( 1)sin ( 1 )e 1 j α β sin( α ) sin ( β)e sin( α 3)sin( β3)e δ δ jδ3 γ γ jγ 3 3 ROLL INVARIANT PARAMETERS ENTROPY 3 H = Pi log 3( Pi ) i= 1 α PARAMETER α = P α α + 1 1 + P P3 α 3 ANISOTROPY A = λ λ3 λ + λ 3 S.R. CLOUDE - E. POTTIER (1995-1996) 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 45
H / A / α DECOMPOSITION λ 1 1 T = U U = u u u 3 3 u u u 1 3 λ λ 3 [ ] [ ][ Σ ][ ] ORTHOGONAL EIGENVECTORS REAL EIGENVALUES λ 1 > λ > λ 3 1 3 * T PARAMETERISATION OF THE SU(3) UNITARY MATRIX [ U 3 ] = cos( α 1) cos( α ) cos( α 3) j sin( )cos( )e 1 j α sin( )cos( )e sin( )cos( )e 1 β1 α β α 3 β3 j sin( 1)sin ( 1 )e 1 j α β sin( α ) sin ( β)e sin( α 3)sin( β3)e δ δ jδ3 γ γ jγ 3 TARGET 1 TARGET TARGET 3 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 46
H / A / α DECOMPOSITION ROLL INVARIANCE PROPERTY ORIENTED (θ ) COHERENCY MATRIX SU(3) UNITARY ROTATION MATRIX (θ ) [ ( )] = ( ) [ ] [ ] [ ( )] T θ U θ T U θ R R 1 1 U R ( θ ) = cosθ sinθ sinθ cos θ [ ] EIGENVECTORS / EIGENVALUES ANALYSIS [ T ( θ) ] = [ U ( θ) ][ Σ ] U ( θ) 3 3 [ ] 1 EIGENVALUES λ 1 λ λ 3 : ROLL INVARIANT PROBABILITIES P 1 P P 3 : ROLL INVARIANT 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 47
H / A / α DECOMPOSITION EIGENVECTORS UNITARY MATRIX [ ( θ) ] = ( θ) [ ][ ] U U U 3 R 3 PARAMETERIZATION OF THE UNITARY MATRIX cos( α 1) cos( α ) cos( α 3) U 3 = j sin( )cos( )e 1 j α1 β1 sin( α)cos( β )e sin( α 3)cos( β 3)e j sin( 1)sin ( 1 )e 1 j α β sin( α) sin ( β )e sin( α 3)sin( β 3)e [ ] δ δ jδ 3 γ γ jγ 3 α = P α + P α + P α 1 1 3 3 : ROLL INVARIANT PHYSICAL INTERPRETATION 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 48
H / A / α α = P α + P α + P α DECOMPOSITION 1 1 3 3 : ROLL INVARIANT PHYSICAL INTERPRETATION SINGLE BOUNCE SCATTERING (ROUGH SURFACE) DOUBLE BOUNCE SCATTERING VOLUME SCATTERING a a b ν a α a a a b ε a π α a a >> b ε ν π α a 4 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 49
α PARAMETER HH+VV HV HH-VV T 11 =A T 33 =B -B T =B +B 45 9 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 5
H / A / α DECOMPOSITION EIGENVALUES λ 1 λ λ 3 : ROLL INVARIANT PROBABILITIES P 1 P P 3 : ROLL INVARIANT ENTROPY (DEGREE OF RANDOMNESS STATISTICAL DISORDER) 3 H= Pi log 3( Pi) i= 1 PURE TARGET λ 1 =SPAN λ = λ 3 = H = DISTRIBUTED TARGET λ 1 = λ = λ 3 = SPAN / 3 H = 1 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 51
ENTROPY (H) HH+VV HV HH-VV T 11 =A T 33 =B -B T =B +B.5 1. 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 5
SEGMENTATION OF THE H / α SPACE 9 MULTIPLE SCATTERING VOLUME SCATTERING SURFACE SCATTERING Alpha (α) 8 7 6 5 4 3 DIPOLE 1 DIHEDRAL SCATTERER 4 7 BRAGG SURFACE FORESTRY DBLE BOUNCE 5 VEGETATION 8 SURFACE ROUGHNESS PROPAGATION EFFECTS 3 6 9 BRANCH / CROWN STRUCTURE CLOUD OF ANISOTROPIC NEEDLES NO FEASIBLE REGION 1..4.6.8 1 Entropy (H) LOW ENTROPY PERTURBATION OF 1st ORDER SCATTERING THEORIES DUE TO nd ORDER EVENTS MEDIUM ENTROPY HIGH ENTROPY DEGREE OF ARBITRARINESS (SCATTERING PROCESSES RANDOM NOISE 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 53
POLSAR DATA DISTRIBUTION IN THE H / α PLANE.5 1. H Alpha ( α ) 9 8 7 6 5 4 3 1..4.6.8 1 Entropy (H) 45 9 α 1 n 1 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 54
H - α classification HH+VV HV HH-VV T 11 =A T 33 =B -B T =B +B 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 55
H / A / α DECOMPOSITION DIFFICULT MECHANISM DISCRIMINATION WHEN : H >.7 ANISOTROPY (EIGENVALUES SPECTRUM) A = λ λ λ3 + λ 3 λ 1 λ λ 3 COMPLEMENTARY TO ENTROPY DISCRIMINATION WHEN H >.7 ROLL INVARIANT 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 56
H / A / α DECOMPOSITION 1. λ λ λ λ 3 1 1.4.4 A = 1..8.6.4.8 H =.9 1. 1..3.4...3.1..6.7.5..4.6.8 1. λ λ A =.54 1 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 57
ANISOTROPY (A) HH+VV HV HH-VV T 11 =A T 33 =B -B T =B +B.5 1. 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 58
(1-H)(1-A) H(1-A) 1 MECHANISM 3 MECHANISMS A(1-H) HA MECHANISMS MECHANISMS.5.5 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 59
H / A / α DECOMPOSITION H = ENTROPY 3 i= 1 P log i 3 ( P i ) α PARAMETER α = P α α + 1 1 + P P3 α 3 ANISOTROPY A = λ λ3 λ + λ 3 3 ROLL INVARIANT PARAMETERS I = α H A H( 1 A) ( 1 H ) A ( )( ) 1 H 1 A PHYSICAL SCATTERING MECHANISM TYPE OF SCATTERING PROCESS SEGMENTATION / CLASSIFICATION 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 6
YY YX XY XX POL-SAR PROCESSING PHENOMENOLOGIC QUALITATIVE ANALYSIS POLARIMETRIC SPECKLE FILTERING POLARIMETRIC TARGET DECOMPOSITION POLARIMETRIC CLASSIFICATION MONO/DUAL CHANNELS 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 61
Questions? 3/9/7 Lecture D1Lb5- Advanced SAR - Polarimetry Eric POTTIER 6