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Mapping Ash Tree Colonization in an
 Agricultural Moutain Landscape: Investigation
    the Potential of Hyperspectral Imagery

 D. Sheeren1,2 , M. Fauvel1,2 , S. Ladet2 , A. Jacquin2 , G. Bertoni1,2 and
                                 A. Gibon2
                        1
                          INP Toulouse - University of Toulouse
              2
                  UMR 1201 DYNAFOR, INRA/INP-ENSAT/INP-EI Purpan




2011 IEEE International Geoscience and Remote Sensing Symposium
                     24-29 July, Vancouver, Canada
MADONNA Project



Image classification



Experimental results



Conclusions and perspectives
MADONNA Project



Image classification



Experimental results



Conclusions and perspectives
Context of the work 1/3


Scientific context:
    Landscape ecology:
         What is the impact of agricultural activities on the landscape?
         What is the impact of landscape heterogeneity on the biodiversity?

    Global change:
         How evolve landscape and biodiversity?
         What are the factors of evolution?




   Predict and anticipate the responses of ecosystems to landscape changes.
Context of the work 2/3
What are the causes and the consequences of ash three colonization in the
Pyrenees mountain?
                        Villelongue village, 65260-France




                     1950                             2000
Up to now:

    Ecological process understood
    Multi-agents model build
 × Accurate ash-thematic map
Context of the work 3/3

 Current method: Aerial images + visual inspection + field survey
     Small geographical area
     Time consuming
     Cost !

 Multispectral satellite images are not enough spatially and spectrally
 accurate for ash detection
       tree/not tree ok, but it is not possible to go to the species
 Good multitemporal data are very difficult to obtain
 Hypothesis: With hyperspectral images, it would be possible to
 differentiate between ash tree and other species of tree
Context of the work 3/3

 Current method: Aerial images + visual inspection + field survey
     Small geographical area
     Time consuming
     Cost !

 Multispectral satellite images are not enough spatially and spectrally
 accurate for ash detection
       tree/not tree ok, but it is not possible to go to the species
 Good multitemporal data are very difficult to obtain
 Hypothesis: With hyperspectral images, it would be possible to
 differentiate between ash tree and other species of tree




                          Madonna Project!
Madonna project: Objectives and data


 Objectives:
   • Mapping of the ash tree distribution
   • 2D et 3D information
   • Estimation of structural and biophysical parameters (tree density and height,
     foliar chlorophyll . . . )



 Data (summer 2010).
   • Very high spatial resolution hyperspectral images
   • LiDar data
   • Field data (ash trees and other dominant species, foliar analysis . . . )
Area covered by the mission

Village of Villelongue, France (00◦ 03’W and 42◦ 57’N).
Medium altitudinal range (450-1800m)




                                              I
Field data 1/2
Collecting tree species:
Field data 2/2

Biophysical parameters:




                          Density
                          Age
                          Diameter

                          Dominant height
                          Topography
                          Chlorophyll and nitrogen content

                          (GPS position)
Some ash examples
MADONNA Project



Image classification



Experimental results



Conclusions and perspectives
Very high spatial resolution hyperspectral images 1/2




                  T




                                                      
                                                       
                                                     
                                                 
                                          E  
HySpex sensor:
    Spectral resolution : 1.5 nm, 400-1000 nm, 160 bands
    Spatial resolution: 50 cm
Very high spatial resolution hyperspectral images 2/2


Pattern recognition approach:

    Problem of the spectral dimensionality: statistical methods fail
    Use of non-linear SVM (Gaussian kernel)
    But the optimization of the hyperparameter is too demanding in terms of
    time processing when using the conventional cross-validation strategy
    (about 3 To of data to process).
    A fast and accurate method for optimizing the hyperparameter is needed
    for an operational system


                           SVM + Kernel alignment
Very high spatial resolution hyperspectral images 2/2


Pattern recognition approach:

    Problem of the spectral dimensionality: statistical methods fail
    Use of non-linear SVM (Gaussian kernel)
    But the optimization of the hyperparameter is too demanding in terms of
    time processing when using the conventional cross-validation strategy
    (about 3 To of data to process).
    A fast and accurate method for optimizing the hyperparameter is needed
    for an operational system


                           SVM + Kernel alignment
Support Vector Machine
                                                              H (α, b) : {x|f (x) = 0}
                              yi = 1




                                  w


                                                    yi = −1




 Supervised method: S = (x1 , y1 ), . . . , (xn , yn ) ∈ Rd × {−1; 1}
                                             n
 Separating function: f (z) = sgn                 αi k(z, xi ) + b
                                            i=1

 Solve QP problem:                     n               n
                                                  1
            max g(α)      =                αi −           αi αj yi yj k(xi , xj )
              α
                                  i=1
                                                  2 i,j=1
                                                                   n
          constraint to          0 ≤ αi ≤ C et                     i=1     αi yi = 0
Kernel function
 Kernel function k: similarity measure between two spectra xi et xj
                                                                2
                                                      xi − xj
 Gaussian kernel : kg (xi , xj ) = exp          −
                                                        2σ 2

 σ 2 is an hyperparameter that controls how two spectra are considered as
 similar or not.
 Ideally, σ 2 must be tuned such as:

                            kg (xi , xj ) ≈ 1   If yi = yj
                            kg (xi , xj ) ≈ 0   Else

 Ideal kernel matrix:
                                                                      
                                     1      δ y1 y2     . . . δy1 yn
                         δ y2 y1              1        . . . δy2 yn
                                                                      
                        I
                                                                       
                     K = .
                         .                    .        ..      .      
                         .                    .
                                               .            .   .
                                                                .
                                                                       
                                                                       
                          δyn y1            δyn y2      ...     1
Kernel alignment

 Alignment A: compute the similitude (angle) between the ideal matrix and
 the kernel matrix with parameter σ 2

                                        KI, K F
                              A(σ) =
                                       KI F K F

 σ is selected such A(σ) is maximal

 Contrary to cross-validation, there is no need to solve the QP problem

                       0.5

                      0.45

                       0.4

                      0.35

                       0.3

                      0.25
                          0      20    40    60
MADONNA Project



Image classification



Experimental results



Conclusions and perspectives
Protocol

 Ground thruth:




 12 tree species (Ash tree, Chestnut tree, Lime tree, Hazel tree . . . ).
 Classification of the tree species: Are ash trees identifiable?
 Classification of the image: Are the results spatially consistent?
Results
 Quantitative analysis: Ash tree separability
                                  GMM        SVM   SVM-lin
            OA                 72%         94%      89%
            Kappa              0.65        0.92     0.89
                             Ash tree
            User accuracy     84.0%       89.9%    83.1%
            Producer accuracy 53.6%       89.9%    88.8%
 Qualitative analysis:
MADONNA Project



Image classification



Experimental results



Conclusions and perspectives
Conclusions and perspectives



Conclusions:
    Accurate mapping of ash tree is possible with hyperspectral images
    Framework: SVM + kernel alignment


Perspectives:
    Spatial regularization
    Can biophysical parameters be estimated?
Mapping Ash Tree Colonization in an
 Agricultural Moutain Landscape: Investigation
    the Potential of Hyperspectral Imagery

 D. Sheeren1,2 , M. Fauvel1,2 , S. Ladet2 , A. Jacquin2 , G. Bertoni1,2 and
                                 A. Gibon2
                        1
                          INP Toulouse - University of Toulouse
              2
                  UMR 1201 DYNAFOR, INRA/INP-ENSAT/INP-EI Purpan




2011 IEEE International Geoscience and Remote Sensing Symposium
                     24-29 July, Vancouver, Canada

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Mapping Ash Tree Colonization in an Agricultural Moutain Landscape_ Investigation the Potential of Hyperspectral Imagery.pdf

  • 1. Mapping Ash Tree Colonization in an Agricultural Moutain Landscape: Investigation the Potential of Hyperspectral Imagery D. Sheeren1,2 , M. Fauvel1,2 , S. Ladet2 , A. Jacquin2 , G. Bertoni1,2 and A. Gibon2 1 INP Toulouse - University of Toulouse 2 UMR 1201 DYNAFOR, INRA/INP-ENSAT/INP-EI Purpan 2011 IEEE International Geoscience and Remote Sensing Symposium 24-29 July, Vancouver, Canada
  • 2. MADONNA Project Image classification Experimental results Conclusions and perspectives
  • 3. MADONNA Project Image classification Experimental results Conclusions and perspectives
  • 4. Context of the work 1/3 Scientific context: Landscape ecology: What is the impact of agricultural activities on the landscape? What is the impact of landscape heterogeneity on the biodiversity? Global change: How evolve landscape and biodiversity? What are the factors of evolution? Predict and anticipate the responses of ecosystems to landscape changes.
  • 5. Context of the work 2/3 What are the causes and the consequences of ash three colonization in the Pyrenees mountain? Villelongue village, 65260-France 1950 2000 Up to now: Ecological process understood Multi-agents model build × Accurate ash-thematic map
  • 6. Context of the work 3/3 Current method: Aerial images + visual inspection + field survey Small geographical area Time consuming Cost ! Multispectral satellite images are not enough spatially and spectrally accurate for ash detection tree/not tree ok, but it is not possible to go to the species Good multitemporal data are very difficult to obtain Hypothesis: With hyperspectral images, it would be possible to differentiate between ash tree and other species of tree
  • 7. Context of the work 3/3 Current method: Aerial images + visual inspection + field survey Small geographical area Time consuming Cost ! Multispectral satellite images are not enough spatially and spectrally accurate for ash detection tree/not tree ok, but it is not possible to go to the species Good multitemporal data are very difficult to obtain Hypothesis: With hyperspectral images, it would be possible to differentiate between ash tree and other species of tree Madonna Project!
  • 8. Madonna project: Objectives and data Objectives: • Mapping of the ash tree distribution • 2D et 3D information • Estimation of structural and biophysical parameters (tree density and height, foliar chlorophyll . . . ) Data (summer 2010). • Very high spatial resolution hyperspectral images • LiDar data • Field data (ash trees and other dominant species, foliar analysis . . . )
  • 9. Area covered by the mission Village of Villelongue, France (00◦ 03’W and 42◦ 57’N). Medium altitudinal range (450-1800m) I
  • 10. Field data 1/2 Collecting tree species:
  • 11. Field data 2/2 Biophysical parameters: Density Age Diameter Dominant height Topography Chlorophyll and nitrogen content (GPS position)
  • 13. MADONNA Project Image classification Experimental results Conclusions and perspectives
  • 14. Very high spatial resolution hyperspectral images 1/2 T         E   HySpex sensor: Spectral resolution : 1.5 nm, 400-1000 nm, 160 bands Spatial resolution: 50 cm
  • 15. Very high spatial resolution hyperspectral images 2/2 Pattern recognition approach: Problem of the spectral dimensionality: statistical methods fail Use of non-linear SVM (Gaussian kernel) But the optimization of the hyperparameter is too demanding in terms of time processing when using the conventional cross-validation strategy (about 3 To of data to process). A fast and accurate method for optimizing the hyperparameter is needed for an operational system SVM + Kernel alignment
  • 16. Very high spatial resolution hyperspectral images 2/2 Pattern recognition approach: Problem of the spectral dimensionality: statistical methods fail Use of non-linear SVM (Gaussian kernel) But the optimization of the hyperparameter is too demanding in terms of time processing when using the conventional cross-validation strategy (about 3 To of data to process). A fast and accurate method for optimizing the hyperparameter is needed for an operational system SVM + Kernel alignment
  • 17. Support Vector Machine H (α, b) : {x|f (x) = 0} yi = 1 w yi = −1 Supervised method: S = (x1 , y1 ), . . . , (xn , yn ) ∈ Rd × {−1; 1} n Separating function: f (z) = sgn αi k(z, xi ) + b i=1 Solve QP problem: n n 1 max g(α) = αi − αi αj yi yj k(xi , xj ) α i=1 2 i,j=1 n constraint to 0 ≤ αi ≤ C et i=1 αi yi = 0
  • 18. Kernel function Kernel function k: similarity measure between two spectra xi et xj 2 xi − xj Gaussian kernel : kg (xi , xj ) = exp − 2σ 2 σ 2 is an hyperparameter that controls how two spectra are considered as similar or not. Ideally, σ 2 must be tuned such as: kg (xi , xj ) ≈ 1 If yi = yj kg (xi , xj ) ≈ 0 Else Ideal kernel matrix:   1 δ y1 y2 . . . δy1 yn  δ y2 y1 1 . . . δy2 yn   I  K = .  . . .. .   . . . . . .   δyn y1 δyn y2 ... 1
  • 19. Kernel alignment Alignment A: compute the similitude (angle) between the ideal matrix and the kernel matrix with parameter σ 2 KI, K F A(σ) = KI F K F σ is selected such A(σ) is maximal Contrary to cross-validation, there is no need to solve the QP problem 0.5 0.45 0.4 0.35 0.3 0.25 0 20 40 60
  • 20. MADONNA Project Image classification Experimental results Conclusions and perspectives
  • 21. Protocol Ground thruth: 12 tree species (Ash tree, Chestnut tree, Lime tree, Hazel tree . . . ). Classification of the tree species: Are ash trees identifiable? Classification of the image: Are the results spatially consistent?
  • 22. Results Quantitative analysis: Ash tree separability GMM SVM SVM-lin OA 72% 94% 89% Kappa 0.65 0.92 0.89 Ash tree User accuracy 84.0% 89.9% 83.1% Producer accuracy 53.6% 89.9% 88.8% Qualitative analysis:
  • 23. MADONNA Project Image classification Experimental results Conclusions and perspectives
  • 24. Conclusions and perspectives Conclusions: Accurate mapping of ash tree is possible with hyperspectral images Framework: SVM + kernel alignment Perspectives: Spatial regularization Can biophysical parameters be estimated?
  • 25. Mapping Ash Tree Colonization in an Agricultural Moutain Landscape: Investigation the Potential of Hyperspectral Imagery D. Sheeren1,2 , M. Fauvel1,2 , S. Ladet2 , A. Jacquin2 , G. Bertoni1,2 and A. Gibon2 1 INP Toulouse - University of Toulouse 2 UMR 1201 DYNAFOR, INRA/INP-ENSAT/INP-EI Purpan 2011 IEEE International Geoscience and Remote Sensing Symposium 24-29 July, Vancouver, Canada