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Pooja Mishra and Dharmendra Singh

Department of Electronics and ComputerEngineering

Indian Institute of Technology Roorkee

Roorkee-!"##"$ %ttarakhand

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ClassClass R&IR&I

Water 197

Tall vegetation 300Urban 295

Short vegetation 125

Bare soil 145

Ground data

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'eighted Polarimetric Sum ('PS)

E*hi+its lo, alue for smooth surfaces ,hilehigh alue for rough surfaces

001.0VVHVHH SSS1000WPS

++=

.ackscattering coe/cients andtheir ratios

*y polari0ation may refer topolari0ation in linear +asis (12 +asis)

$ circular +asis (3R +asis) andelliptical +asis (3inear !4 +asis)5)QIlog(10

2xy

2xy

0xy +=

D.G. Corr et al.

Etra!tion o" #olari$etri!

indi!es

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Ratio 2egetation Inde*(R2I)

6ormali0ed Di7erence Polari0ation Inde* (6DPI)

1igher the 6DPI higher theroughness

1igher alue for di7use(olume)

scatteringVVHVHH

HVRVI++

=

2

8

00

00

VHVV

VHVV

NDPI

+

=

Arii et al.

Cao et al.Cross Polari0ation Ratio (CPR)

HVHH

HVCPR

+

= %sed for separation of +are

soil and egetation

Trudel et al. 2008

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'j'and'i'classesofdeviationdardtans,'j'and'i'classesofMean,

S

ji

ji

ji

ji

ij

+

=

separationforfeatureBestS

separationforfeatureDependableS

rejectionfor!ort"#eatureS

ij

ij

ij

2

5180

80

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8h found to +e suita+le feature for

segregation of all the classes

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%ro#osed !lassi&!ation$ethod

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Class Distri+ution

Rank

Chi-s9uared statistics,ith 4: signi;cance leel

'his(uare)Statisti!s

#)value 'riti!alvalue

*+#othesis,e-e!ted

.are soil .or$al 2 /434/ 037/3 12592 .o,a+leigh 4 344 4/112E)/ 12592 es'au!h+ 1 13177 0970/7 12592 .oWeibull 3 1155 00/527 12592 .o

'ater .or$al 3 /994 033025 12592 .o,a+leigh 4 10 009215 12592 .o

'au!h+ 1 1/905 09455 12592 .oWeibull 2 594/7 04291 12592 .o

Shortegetation

.or$al 1 /7/91 034273 12592 .o

,a+leigh 4 1959/ 000327 12592 es'au!h+ 3 9/72/ 013913 12592 .o

Weibull 2 7445 02135 1252 .oTallegetation

.or$al 2 11529 011714 140/7 .o

,a+leigh 4 5594 99130E)10

140/7 es

'au!h+ 3 17437 001479 140/7 es

Weibull 1 90475 02492/ 140/7 .o%r+an .or$al 1 49709 0//352 140/7 .o

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para$etersesti$ationpara$eterocationlcontinous

para$eterscalecontinous

e%&'f%&'

==

=

2

2

2

2

1

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devstd$eanar()pperBound

devstd$eanar(*o!erBound

+==

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'lass Set < Set Set = Set ! Set 4 Set #.are soil 27074 1/252 13141 22051 17477 20733 211

7

27752 24/9 29254 25/ 227/

'ater 17/ 1494 215/7 217/3 39291 21511 309

3

30951 32073 302/ 242 3193

Short

egetation

14952 1053 1412 137 12105 1092 2370

/

23529 2329/ 25303 2372 2392/

Tall

egetation

135/7 1932 17/1/ 1/11 2/27/ 1579 1// 137 1759/ 1729 1072 1757

%r+an 11097 092431 1107 11193 115 10939 1413

1

1477/ 15495 14/3/ 15391 141

Estimated parameters of Normal density function for all the classes

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8 >

M SD M?SD M@SD M SD M?SD M@SD.are

soil

195 0439

9

14//0

1

24339

9

27

0

152/

5

2933

55

2/2

2

'ater 227

/

053/

3

14249

7

31322

3

30

4

1190

/

3203

1/

29/

50

Short

eg5

123

/

01931

4

10904

/

147/7

4

239

1

0712

24/2

5

232

00

Tall

eg5

1/3 04339 14291 229/9 177

/

0705

14/

99

170

5

%r+an 1055

0019 1003/ 11/74 147

05050

1537

143/

Obtained boundaries for rane of position and scale parameter

3ocation and scale parameters of 6ormal distri+utionare mean and standard deiation$ respectiely5Therefore$ location parameter A>B may +e used for

di7erentiating arious targets5

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Urban

Short vegetation

Bare soil

Water

Tall vegetation

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