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Using Wavelets as an Effective
Alternative Tool for Wind Disaster
 Detection from Satellite Images
            Sudha Radhika,
     Yukio Tamura, Masahiro Matsui
      Contact: radhikasabareesh@arch.t-kougei.ac.jp
               radhikasabareesh@arch.t-

    Wind Engineering Research Center
      Tokyo Polytechnic University
                 Japan
OBJECTIVE
Automated Identification of Wind
Damaged Building Structures from
the Pre- and Post- Satellite Images
    Pre-     Post-
using Wavelet as an effective tool
PAST RESEARCHES
• Major contribution in disaster
  detection in earthquake using
  aerial images by Hasegawa et al
  2000, Mitomi et al 2001, Sumer et
  al 2004 and Ozisik 2004
• Major contribution using satellite
  imagery is done by Matsuoka et al
  2000, Vu et al 2005, in earthquake
  disaster.
PAST RESEARCHES
• Researches were also done by
   computational identification using
   low resolution satellite images in
   other natural disasters like
  (1) Wild fire by Ambrosia et al 1998,
  (2) Flood by Groeve et al 2009,
  (3) Landslides by Danneels et al 2008
     and so on.
PAST RESEARCHES
• In wind disaster major contribution is
  done by Womble et al 2007 and
  Womble 2005, using the ordinary
            2005,
  statistical analysis of the histogram of
  the high resolution satellite image
  pixel radiance value.
• Introduction of RS-Scale (Remote
                    RS-
  Sensing Scale) table rating building
  damage scale by Womble 2005.
PAST RESEARCHES
More accurate and faster the damage
identification
 save more lives and more building
   structures can be restored faster.

Wavelets + ANN + High resolution
                 satellite imagery
RS SCALE
Remote
Sensing      Ground Truth Data        Visual Inspection of Satellite Images
 Scale
                                    •No significant change in texture, color, or edges.
                                    • Edges are well-defined and linear.
RS1 No apparent damage              • Roof texture is uniform.
                                    • Larger area of roof may be visible.

                                    •Nonlinear, internal edges appear
          Shingles/tiles removed,   • Newly visible material gives strong spectral
RS2 leaving decking exposed         return.
                                    • Original outside roof edges are still intact.

          Decking removed,          •Nonlinear, internal edges appear
                                    • Holes in roof may not give strong spectral
RS3       leaving roof structure    return.
          exposed                   • Original outside edges usually intact.
          Roof structure            •Original roof edges are not intact.
          collapsed or removed.
RS4       Walls may have            • Texture and uniformity may or may not
                                    experience significant changes.
          collapsed.
METHODOLOGY
DATA ACQUISITION BUILDING INSPECTION FOR
                                                 DAMAGE RECOGNITION
                                   TRAINING
                  EXTRACTION OF                    PIXEL RADIANCE
 SATELLITE          BUILDING                            DATA
                                         FOR
  IMAGES           STRUCTURES
                                       TESTING

                      VISUAL                          FEATURE
                   RECOGNITION                      EXTRACTION
 GROUND
  TRUTH                                           ARTIFICIAL NEURAL
   DATA      VALIDATION                           NETWORK TRAINING
                           CLASSIFICATION
                          OUTPUT
                     ACTUAL SCALE (RS1,
                      RS2, RS3, RS4) OF                TRAINED
                         THE WIND                 ARTIFICIAL NEURAL
                         DAMAGED                      NETWORK
                         BUILDING
                        STRUCTURES
DATA ACQUISITION
    2004/03/23 PUNTA GORDA               2004/08/14 PUNTA GORDA



                             Satellite                            Ground
                               Data                                Truth
                                                                   Data

Before Hurricane                    After Hurricane




                                                                        Courtesy :
                                                                     Womble, J.A., 2005.
                                                                          TTU

Source: DigitalGlobe Co., Ltd, Hurricane Charley
SYSTEM RECOGNITION
1. Extraction of Building Structures
  -- 40 samples (houses)
2. Visual Recognition of Samples Extracted
  -- Categorized into 4 Four Damage Scales
     (RS1, RS2, RS3, RS4)
  -- 10 Samples each
  -- With the available Ground Truth Information
  -- 6 Samples each for Training and 4
        Samples each for Validation
SYSTEM RECOGNITION
1. Pixel Radiance Data       H
-- RGB channels
-- HSV layers


                                 S


                         V
                         HSV : Layers
SYSTEM RECOGNITION
 2. Feature Extraction
--(1)
--(1) Deletion of common area
--(2)
--(2) Conventional Feature Extraction Method
                                   Before and After
--(3)
--(3) Wavelet Extraction Method        Disaster
 FEATURES EXTRACTED FOR BOTH
   METHODS
 -- Statistical Features
              •   Standard Deviation
              •   Maximum
 -- Image Features                     Hse 1 with
                                   Common Area Deleted
              • Edge detection
STATISTICAL FEATURE
                               STANDARD DEVIATION
                       1
Standard Deviation




                             Vision Layer
                     0.8
                             Blue Channel
                             Green Channel
                     0.6     Red Channel

                     0.4

                     0.2

                      0
                             RS1       RS2      RS3        RS4
                                    Remote Sensing Scale
STATISTICAL FEATURE
           1
                          MAXIMUM
                  Vision Layer
          0.8     Blue Channel
                  Green Channel
Maximum




          0.6     Red Channel


          0.4

          0.2

           0
                  RS1      RS2      RS3        RS4
                        Remote Sensing Scale
EDGE DETECTION
• An edge in an image is a contour across
  which the brightness of the image
  changes suddenly
                        a    b
f (i, j )  w * h      w(m, n)h(i  m, j  n)
                      m a nb
Where   f(i,j) output image pixel
        h(i,j) input image pixel
        w(m,n) convolution kernel or a filter
                 mask of size (2a+1)  (2b+1).
                              (2a+1) (2b+1).
EDGE DETECTION
• Prewitt Operator :Finds edges using the
                   :Finds
  Prewitt approximation.
          approximation.
• It measures two components.
    1. vertical edge component  with kernel wx
    2. horizontal edge component  with kernel wy.
                                               wy.



      wx =               wy =
Image
  origin            Mask
                                                           y

                Image                               w (−1, −1) w (−1, 0) w (−1, 1)
                  f (x, y)

                                                    w (0, −1) w (0, 0)     w (0, 1)
                 f (x − 1, y − 1)   f (x − 1, y )

                                                    w (1, −1) w (1, 0)     w (1, 1)

                   f (x , y − 1)     f (x , y )          f (x , y + 1)        Mask
            x                                                               coefficient
                                                                             showing
                                                                           coordinate
Eg:
Eg: Hse 1 RS3
          RS3
                                                                          arrangements
                 f (x + 1, y − 1)   f (x + 1, y )      f (x + 1, y + 1)

                          Pixel of image section under mask
DISTRIBUTION OF THE DETECTED
      EDGE PIXEL VALUE


                   RS4



           RS2
                  RS3

            RS1
ANN CLASSIFICATION
ANN CLASSIFICATION
                PROCEDURE
Feed Forward – Each input neuron receives
input signal and broad casts to hidden layer
and pass it to each output unit.
Back Propagation of error- Net output is
                      error-
compared with the target value. Appropriate
error is calculated and it is distributed back
to the hidden layer
Weights adjusted - accordingly
WAVELETS
Feature Extracted by Wavelet Feature Extraction



  2 Dimensional discrete Wavelets are used
   Family of discrete Wavelets :
  -Daubechies, Biorthogonal, Coiflets, Symlets,
                 Discrete Meyer
  Best wavelet -- the larger % Margin of
  separation between the two least different RS
  scale (RS1 and RS2)
        (RS1     RS2)
WAVELETS
 Biorthogonal Wavelets --distribution of
                          --distribution
 the damaged area i.e. Std Dev and
 damaged edge detection
 Daubechies -- maximum value of the
 damaged area
                                     RS1 
 % Marginof separation(RS1& RS2)  1        100
                                     RS2
where σ(RS1) = Average standard deviation
           of all the sample images at RS1.
A 2-D WAVELET ANALYSIS
  2-
COMPARISON–
COMPARISON– Statistical Features
                          MAXIMUM VALUE – RED BAND
                         80
% Margin of Separation



                               RED           Without Wavelet
                                             With Wavelet
                         60

                         40


                         20

                         0
                              RS1&RS2 RS2&RS3 RS3&RS4
                                 Remote Sensing Scale
COMPARISON–
COMPARISON– Statistical Features
                          MAXIMUM VALUE – GREEN BAND
                         60
% Margin of Separation


                               Without Wavelet   GREEN
                         50    With Wavelet

                         40

                         30
                         20
                         10
                         0
                              RS1&RS2 RS2&RS3 RS3&RS4
                                  Remote Sensing Scale
COMPARISON–
COMPARISON– Statistical Features
                          MAXIMUM VALUE – BLUE BAND
                         80
% Margin of Separation


                               Without Wavelet   BLUE
                               With Wavelet
                         60

                         40


                         20

                         0
                              RS1&RS2 RS2&RS3 RS3&RS4
                                  Remote Sensing Scale
COMPARISON–
COMPARISON– Statistical Features
                          MAXIMUM VALUE – VISION LAYER
                         80
% Margin of Separation


                                             Without Wavelet
                              VISION
                                             With Wavelet
                         60

                         40


                         20

                         0
                              RS1&RS2 RS2&RS3 RS3&RS4
                                 Remote Sensing Scale
Statistical Features – Standard Deviation
  Margin of      Without    With Wavelet
  Separation     Wavelet
                Red Band
 RS1 and RS2       36 %        57 %
 RS2 and RS3       53 %        56 %
 RS3 and RS4       23 %        27 %
               Green Band
 RS1 and RS2       26 %        34 %
 RS2 and RS3       43 %        53 %
 RS3 and RS4       47 %        56 %
               Blue Band
 RS1 and RS2       25 %        32 %
 RS2 and RS3       39 %        43 %
 RS3 and RS4       54 %        69 %
Statistical Features – Standard Deviation
                 Vision
  RS1 and RS2     37 %         57%
  RS2 and RS3     53 %         56 %
  RS3 and RS4     24 %         28%
Higher the Margin of Separation More
Accurate will be the classification
IMAGE FEATURES
      – with and without wavelet




Eg: Hse 1      WITH             WITHOUT
RS3            WAVELET          WAVELET
When edge detection done with wavelet, the
                                 wavelet,
detection of non-damaged edges as damaged
             non-
edges are reduced rather than edge detection
using Prewitt operator i.e. error reduced
Sudha radhika to upload in slide share [compatibility mode]
House   Visual System Recognition Ground
Number Recognit Without With        Truth
TRAINING
          ion   Wavelet Wavelet     Data
SAMPLES
 Hse 6    RS1     RS1      RS1   NA
 Hse 8    RS1     RS1      RS1   NA
 Hse 3    RS2     RS2      RS2   RS2
 Hse 4    RS2     RS2      RS2   NA
 Hse 1    RS3     RS3      RS3   RS3
 Hse 2    RS3     RS3      RS3   RS3
 Hse 5    RS4     RS4      RS4   NA
 Hse 7    RS4     RS4      RS4   RS4
CLASSIFICATION RESULT
 House Visual       System     Ground
Number Recogni   Recognition    Truth
TESTING tion Without With       Data
SAMPLES
               Wavelet Wavelet

 Hse 9   RS1    RS1     RS1   NA
Hse 11   RS2    RS1     RS2   RS2
Hse 10   RS3    RS2     RS4   NA
Hse 12   RS4    RS4     RS4   NA
CLASSIFICATION RESULT
          WITHOUT WITH       BUILDING
RS SCALES WAVELET WAVEL     CONDITION
             %     ET %
  RS1        100     100   No obvious damage

  RS2         60     90      Roof shingles
                           removed and Deck
                                exposed
  RS3        50       50   Deck removed and
                             Roof structure
                                exposed
  RS4        90      100      Completely
                               collapsed
%Accuracy of Identification of Samples
CLASSIFICATION RESULT
                   RS1   RS3    RS2         Actual Results from
Actual RS3                                  Damage   Wavelet
Error RS4    RS3 RS3                                Extraction
                          RS4
                                             RS1

                                             RS2

                                             RS3

                                             RS4

                                      RS1
                         RS2
             RS1                      RS4
                   RS4                RS2




   Classification Result with Wavelet Extracted Features
CONCLUSION
1. Wind Damage Building Structures can be
   successfully identified from the statistical
   and image features extracted from the Pre-
                                            Pre-
   and the Post- Satellite Images.
            Post-
2. Classification of the identified Building
   Structures into different Scales in the
   Remote Sensing Perspective (RS Scale-
                                      Scale-
   RS1,RS2, RS3 and RS4) is successfully
   obtained.
3. The % Margin of separation between
   different RS Scale is obtained and it is
   observed that features extracted by
   wavelets have got a larger Margin of
   separation.
   separation.
CONCLUSION Cont………
4. Larger the Margin of Separation More
   Accurate will be the classification.
                        classification.
5. Thus an Accurate Identification is done by
   using Wavelet Feature Extraction.
                           Extraction.
6. Pattern for the following Damaged
   Portions are recognized successfully as :
  (a) The distribution of the disaster area
       Biorthogonal Wavelet pattern
  (b) The peak value of the disaster area
       Daubechies Wavelet pattern
  (c) Faulty or Broken edges
       Biorthogonal Wavelet pattern
ACKNOWLEDGEMENTS
 This study was funded by MEXT, Japan,
                             MEXT,
  through the Global Center of Excellence
  Program, 2008-2012, which is gratefully
             2008-
  acknowledged.
 The authors would also like to thank Dr. Arn
  J Womble, of Texas Tech., Prof. Ahasan
    Womble,
  Kareem of University of Notre Dame & Dr.
  Masashi Matsuoka of Earthquake Disaster
  Mitigation Research Center, RIKEN, Japan,
  for their valuable suggestions and advice.
Sudha radhika to upload in slide share [compatibility mode]

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Sudha radhika to upload in slide share [compatibility mode]

  • 1. Using Wavelets as an Effective Alternative Tool for Wind Disaster Detection from Satellite Images Sudha Radhika, Yukio Tamura, Masahiro Matsui Contact: radhikasabareesh@arch.t-kougei.ac.jp radhikasabareesh@arch.t- Wind Engineering Research Center Tokyo Polytechnic University Japan
  • 2. OBJECTIVE Automated Identification of Wind Damaged Building Structures from the Pre- and Post- Satellite Images Pre- Post- using Wavelet as an effective tool
  • 3. PAST RESEARCHES • Major contribution in disaster detection in earthquake using aerial images by Hasegawa et al 2000, Mitomi et al 2001, Sumer et al 2004 and Ozisik 2004 • Major contribution using satellite imagery is done by Matsuoka et al 2000, Vu et al 2005, in earthquake disaster.
  • 4. PAST RESEARCHES • Researches were also done by computational identification using low resolution satellite images in other natural disasters like (1) Wild fire by Ambrosia et al 1998, (2) Flood by Groeve et al 2009, (3) Landslides by Danneels et al 2008 and so on.
  • 5. PAST RESEARCHES • In wind disaster major contribution is done by Womble et al 2007 and Womble 2005, using the ordinary 2005, statistical analysis of the histogram of the high resolution satellite image pixel radiance value. • Introduction of RS-Scale (Remote RS- Sensing Scale) table rating building damage scale by Womble 2005.
  • 6. PAST RESEARCHES More accurate and faster the damage identification  save more lives and more building structures can be restored faster. Wavelets + ANN + High resolution satellite imagery
  • 7. RS SCALE Remote Sensing Ground Truth Data Visual Inspection of Satellite Images Scale •No significant change in texture, color, or edges. • Edges are well-defined and linear. RS1 No apparent damage • Roof texture is uniform. • Larger area of roof may be visible. •Nonlinear, internal edges appear Shingles/tiles removed, • Newly visible material gives strong spectral RS2 leaving decking exposed return. • Original outside roof edges are still intact. Decking removed, •Nonlinear, internal edges appear • Holes in roof may not give strong spectral RS3 leaving roof structure return. exposed • Original outside edges usually intact. Roof structure •Original roof edges are not intact. collapsed or removed. RS4 Walls may have • Texture and uniformity may or may not experience significant changes. collapsed.
  • 8. METHODOLOGY DATA ACQUISITION BUILDING INSPECTION FOR DAMAGE RECOGNITION TRAINING EXTRACTION OF PIXEL RADIANCE SATELLITE BUILDING DATA FOR IMAGES STRUCTURES TESTING VISUAL FEATURE RECOGNITION EXTRACTION GROUND TRUTH ARTIFICIAL NEURAL DATA VALIDATION NETWORK TRAINING CLASSIFICATION OUTPUT ACTUAL SCALE (RS1, RS2, RS3, RS4) OF TRAINED THE WIND ARTIFICIAL NEURAL DAMAGED NETWORK BUILDING STRUCTURES
  • 9. DATA ACQUISITION 2004/03/23 PUNTA GORDA 2004/08/14 PUNTA GORDA Satellite Ground Data Truth Data Before Hurricane After Hurricane Courtesy : Womble, J.A., 2005. TTU Source: DigitalGlobe Co., Ltd, Hurricane Charley
  • 10. SYSTEM RECOGNITION 1. Extraction of Building Structures -- 40 samples (houses) 2. Visual Recognition of Samples Extracted -- Categorized into 4 Four Damage Scales (RS1, RS2, RS3, RS4) -- 10 Samples each -- With the available Ground Truth Information -- 6 Samples each for Training and 4 Samples each for Validation
  • 11. SYSTEM RECOGNITION 1. Pixel Radiance Data H -- RGB channels -- HSV layers S V HSV : Layers
  • 12. SYSTEM RECOGNITION 2. Feature Extraction --(1) --(1) Deletion of common area --(2) --(2) Conventional Feature Extraction Method Before and After --(3) --(3) Wavelet Extraction Method Disaster FEATURES EXTRACTED FOR BOTH METHODS -- Statistical Features • Standard Deviation • Maximum -- Image Features Hse 1 with Common Area Deleted • Edge detection
  • 13. STATISTICAL FEATURE STANDARD DEVIATION 1 Standard Deviation Vision Layer 0.8 Blue Channel Green Channel 0.6 Red Channel 0.4 0.2 0 RS1 RS2 RS3 RS4 Remote Sensing Scale
  • 14. STATISTICAL FEATURE 1 MAXIMUM Vision Layer 0.8 Blue Channel Green Channel Maximum 0.6 Red Channel 0.4 0.2 0 RS1 RS2 RS3 RS4 Remote Sensing Scale
  • 15. EDGE DETECTION • An edge in an image is a contour across which the brightness of the image changes suddenly a b f (i, j )  w * h    w(m, n)h(i  m, j  n) m a nb Where f(i,j) output image pixel h(i,j) input image pixel w(m,n) convolution kernel or a filter mask of size (2a+1)  (2b+1). (2a+1) (2b+1).
  • 16. EDGE DETECTION • Prewitt Operator :Finds edges using the :Finds Prewitt approximation. approximation. • It measures two components. 1. vertical edge component  with kernel wx 2. horizontal edge component  with kernel wy. wy. wx = wy =
  • 17. Image origin Mask y Image w (−1, −1) w (−1, 0) w (−1, 1) f (x, y) w (0, −1) w (0, 0) w (0, 1) f (x − 1, y − 1) f (x − 1, y ) w (1, −1) w (1, 0) w (1, 1) f (x , y − 1) f (x , y ) f (x , y + 1) Mask x coefficient showing coordinate Eg: Eg: Hse 1 RS3 RS3 arrangements f (x + 1, y − 1) f (x + 1, y ) f (x + 1, y + 1) Pixel of image section under mask
  • 18. DISTRIBUTION OF THE DETECTED EDGE PIXEL VALUE RS4 RS2 RS3 RS1
  • 20. ANN CLASSIFICATION PROCEDURE Feed Forward – Each input neuron receives input signal and broad casts to hidden layer and pass it to each output unit. Back Propagation of error- Net output is error- compared with the target value. Appropriate error is calculated and it is distributed back to the hidden layer Weights adjusted - accordingly
  • 21. WAVELETS Feature Extracted by Wavelet Feature Extraction 2 Dimensional discrete Wavelets are used  Family of discrete Wavelets : -Daubechies, Biorthogonal, Coiflets, Symlets, Discrete Meyer Best wavelet -- the larger % Margin of separation between the two least different RS scale (RS1 and RS2) (RS1 RS2)
  • 22. WAVELETS Biorthogonal Wavelets --distribution of --distribution the damaged area i.e. Std Dev and damaged edge detection Daubechies -- maximum value of the damaged area   RS1  % Marginof separation(RS1& RS2)  1   100   RS2 where σ(RS1) = Average standard deviation of all the sample images at RS1.
  • 23. A 2-D WAVELET ANALYSIS 2-
  • 24. COMPARISON– COMPARISON– Statistical Features MAXIMUM VALUE – RED BAND 80 % Margin of Separation RED Without Wavelet With Wavelet 60 40 20 0 RS1&RS2 RS2&RS3 RS3&RS4 Remote Sensing Scale
  • 25. COMPARISON– COMPARISON– Statistical Features MAXIMUM VALUE – GREEN BAND 60 % Margin of Separation Without Wavelet GREEN 50 With Wavelet 40 30 20 10 0 RS1&RS2 RS2&RS3 RS3&RS4 Remote Sensing Scale
  • 26. COMPARISON– COMPARISON– Statistical Features MAXIMUM VALUE – BLUE BAND 80 % Margin of Separation Without Wavelet BLUE With Wavelet 60 40 20 0 RS1&RS2 RS2&RS3 RS3&RS4 Remote Sensing Scale
  • 27. COMPARISON– COMPARISON– Statistical Features MAXIMUM VALUE – VISION LAYER 80 % Margin of Separation Without Wavelet VISION With Wavelet 60 40 20 0 RS1&RS2 RS2&RS3 RS3&RS4 Remote Sensing Scale
  • 28. Statistical Features – Standard Deviation Margin of Without With Wavelet Separation Wavelet Red Band RS1 and RS2 36 % 57 % RS2 and RS3 53 % 56 % RS3 and RS4 23 % 27 % Green Band RS1 and RS2 26 % 34 % RS2 and RS3 43 % 53 % RS3 and RS4 47 % 56 % Blue Band RS1 and RS2 25 % 32 % RS2 and RS3 39 % 43 % RS3 and RS4 54 % 69 %
  • 29. Statistical Features – Standard Deviation Vision RS1 and RS2 37 % 57% RS2 and RS3 53 % 56 % RS3 and RS4 24 % 28% Higher the Margin of Separation More Accurate will be the classification
  • 30. IMAGE FEATURES – with and without wavelet Eg: Hse 1 WITH WITHOUT RS3 WAVELET WAVELET When edge detection done with wavelet, the wavelet, detection of non-damaged edges as damaged non- edges are reduced rather than edge detection using Prewitt operator i.e. error reduced
  • 32. House Visual System Recognition Ground Number Recognit Without With Truth TRAINING ion Wavelet Wavelet Data SAMPLES Hse 6 RS1 RS1 RS1 NA Hse 8 RS1 RS1 RS1 NA Hse 3 RS2 RS2 RS2 RS2 Hse 4 RS2 RS2 RS2 NA Hse 1 RS3 RS3 RS3 RS3 Hse 2 RS3 RS3 RS3 RS3 Hse 5 RS4 RS4 RS4 NA Hse 7 RS4 RS4 RS4 RS4
  • 33. CLASSIFICATION RESULT House Visual System Ground Number Recogni Recognition Truth TESTING tion Without With Data SAMPLES Wavelet Wavelet Hse 9 RS1 RS1 RS1 NA Hse 11 RS2 RS1 RS2 RS2 Hse 10 RS3 RS2 RS4 NA Hse 12 RS4 RS4 RS4 NA
  • 34. CLASSIFICATION RESULT WITHOUT WITH BUILDING RS SCALES WAVELET WAVEL CONDITION % ET % RS1 100 100 No obvious damage RS2 60 90 Roof shingles removed and Deck exposed RS3 50 50 Deck removed and Roof structure exposed RS4 90 100 Completely collapsed %Accuracy of Identification of Samples
  • 35. CLASSIFICATION RESULT RS1 RS3 RS2 Actual Results from Actual RS3 Damage Wavelet Error RS4 RS3 RS3 Extraction RS4 RS1 RS2 RS3 RS4 RS1 RS2 RS1 RS4 RS4 RS2 Classification Result with Wavelet Extracted Features
  • 36. CONCLUSION 1. Wind Damage Building Structures can be successfully identified from the statistical and image features extracted from the Pre- Pre- and the Post- Satellite Images. Post- 2. Classification of the identified Building Structures into different Scales in the Remote Sensing Perspective (RS Scale- Scale- RS1,RS2, RS3 and RS4) is successfully obtained. 3. The % Margin of separation between different RS Scale is obtained and it is observed that features extracted by wavelets have got a larger Margin of separation. separation.
  • 37. CONCLUSION Cont……… 4. Larger the Margin of Separation More Accurate will be the classification. classification. 5. Thus an Accurate Identification is done by using Wavelet Feature Extraction. Extraction. 6. Pattern for the following Damaged Portions are recognized successfully as : (a) The distribution of the disaster area  Biorthogonal Wavelet pattern (b) The peak value of the disaster area  Daubechies Wavelet pattern (c) Faulty or Broken edges  Biorthogonal Wavelet pattern
  • 38. ACKNOWLEDGEMENTS  This study was funded by MEXT, Japan, MEXT, through the Global Center of Excellence Program, 2008-2012, which is gratefully 2008- acknowledged.  The authors would also like to thank Dr. Arn J Womble, of Texas Tech., Prof. Ahasan Womble, Kareem of University of Notre Dame & Dr. Masashi Matsuoka of Earthquake Disaster Mitigation Research Center, RIKEN, Japan, for their valuable suggestions and advice.