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A General Approach to the Spatial Simplication of Remote Sensing
        Images Based on Morphological Connected Filters


       Mauro Dalla Mura
                             †, , Jón Atli Benediktsson , Lorenzo Bruzzone†



              † Department   of Information Engineering and Computer Science
                                   University of Trento.


                     Faculty of Electrical and Computer Engineering
                                   University of Iceland.




                                   IGARSS 2011
                                      24-29 July
Outline




  1   Introduction


  2   General Approach for Image Simplication
        Connected Operators
        Methodology


  3   Conclusion and Future Developments




  IGARSS 2011 (24-29 July)        Mauro Dalla Mura   dallamura@disi.unitn.it   2 / 19
Introduction

Remote Sensing VHR Images




    QuickBird 60cm, Panchromatic image, Bam (Iraq)       Geoeye 50cm, Pansharpened images, Vancouver (Canada)
                                                                               c Google




    ROSIS-03 1.3m, Hyperspectral image, Pavia (Italy)     TerraSAR-X 1.1m, Spotlight SAR, Dorsten (Germany)




      The information extraction in remote sensing images is becoming increasingly
      complex due to the progressively higher spatial resolution of the current
      sensors.
      How to extract the informative components dealing with the huge amount
      of details?
 IGARSS 2011 (24-29 July)                      Mauro Dalla Mura                 dallamura@disi.unitn.it       3 / 19
Introduction

Remote Sensing VHR Images




    QuickBird 60cm, Panchromatic image, Bam (Iraq)       Geoeye 50cm, Pansharpened images, Vancouver (Canada)
                                                                               c Google




    ROSIS-03 1.3m, Hyperspectral image, Pavia (Italy)     TerraSAR-X 1.1m, Spotlight SAR, Dorsten (Germany)




      The information extraction in remote sensing images is becoming increasingly
      complex due to the progressively higher spatial resolution of the current
      sensors.
      How to extract the informative components dealing with the huge amount
      of details?
 IGARSS 2011 (24-29 July)                      Mauro Dalla Mura                 dallamura@disi.unitn.it       3 / 19
Introduction

Image Simplication

                              Spatial simplication of the image.

       Pre-processing operation for many remote sensing applications:
              Image segmentation;
              Supervised/unsupervised thematic classication;
              Land cover change analysis;
              Object recognition and extraction;
              Denoising SAR images;
              Analysis of multiangular images.

       Image simplication leads to:
              noise reduction;
              exploiting the contextual relations;
              modeling spatial relations;
              removing or attenuating undesired details.

       Simplication of the image performed by spatial ltering, a 2-step procedure
       composed of:
          1   selection of the lters parameters;
          2   application of the operator on the image.




  IGARSS 2011 (24-29 July)                  Mauro Dalla Mura       dallamura@disi.unitn.it   4 / 19
Introduction

Image Simplication (examples)



  VHR optical image - dierent simplications




       Which details should be removed?
       Which operator should be applied? And which lter parameters should be
       selected?
       It depends on the application and on the type of image.



  IGARSS 2011 (24-29 July)        Mauro Dalla Mura      dallamura@disi.unitn.it   5 / 19
Introduction

Image Simplication (examples)



  VHR optical image - dierent simplications




       Which details should be removed?
       Which operator should be applied? And which lter parameters should be
       selected?
       It depends on the application and on the type of image.



  IGARSS 2011 (24-29 July)        Mauro Dalla Mura      dallamura@disi.unitn.it   5 / 19
Introduction

Image Simplication (examples)



  VHR optical image - dierent simplications




       Which details should be removed?
       Which operator should be applied? And which lter parameters should be
       selected?
       It depends on the application and on the type of image.



  IGARSS 2011 (24-29 July)        Mauro Dalla Mura      dallamura@disi.unitn.it   5 / 19
Introduction

Motivation



  Issues related to image simplication
      The selection of the parameters of the lters is application dependent.
      Proper operators should be used.
      Manual operation.

  Aims of the work
  Dene a novel general approach to image simplication
     based on morphological connected operators;
     suitable for the processing of dierent types of images and dierent
     applications;
     suitable to be performed in an automated way.



  IGARSS 2011 (24-29 July)          Mauro Dalla Mura         dallamura@disi.unitn.it   6 / 19
General Approach for Image Simplication         Connected Operators

Connected Operators - Operators by Reconstruction
       Connected operators are morphological lters that process an image by only
       merging its at zones.
       Either completely remove or entirely preserve a region in the image.
       They do not distort the geometrical characteristics (e.g., shape, edges) of the
       structures in the image.

  Operators by Reconstruction
        Closing          Closing by rec.          Original image        Opening by rec.           Opening




         φB (f )       φB (f ) = Rf [δB (f )]
                        R
                                  ε                     f              B         δ
                                                                      γR (f ) = Rf [εB (f )]       γB (f )




  IGARSS 2011 (24-29 July)                      Mauro Dalla Mura                    dallamura@disi.unitn.it   7 / 19
General Approach for Image Simplication         Connected Operators

Connected Operators - Operators by Reconstruction
       Connected operators are morphological lters that process an image by only
       merging its at zones.
       Either completely remove or entirely preserve a region in the image.
       They do not distort the geometrical characteristics (e.g., shape, edges) of the
       structures in the image.

  Operators by Reconstruction
        Closing          Closing by rec.          Original image        Opening by rec.           Opening




         φB (f )       φB (f ) = Rf [δB (f )]
                        R
                                  ε                     f              B         δ
                                                                      γR (f ) = Rf [εB (f )]       γB (f )



  Connected operators are suitable for the analysis of VHR images.
  IGARSS 2011 (24-29 July)                      Mauro Dalla Mura                    dallamura@disi.unitn.it   7 / 19
General Approach for Image Simplication            Connected Operators

Connected Operators - Attribute Filters
         Attribute lters are connected operators dened in the mathematical
         morphology framework and recently used for the analysis of remote sensing1 .
         Based on a measure (attribute) computed on the regions of an image.
         Filtering performed by removing the regions that do not fulll a condition (T )
         which compares an attribute attr against a reference value λ
         (e.g., T = attr ≥ λ).
         Main operators:
               attribute thinning,          γT ;
               attribute thickening,          φT .

  Example: Dierent attributes




      Original image                Area              Standard deviation     Moment of inertia           Solidity



     1   M. Dalla Mura, J. A. Benediktsson, B. Waske, and L. Bruzzone, Morphological attribute proles for the analysis
         of very high resolution images,   IEEE Transactions on Geoscience and Remote Sensing, vol. 48, no. 10, pp.
  IGARSS 20113762, Oct. 2010.
      3747    (24-29 July)                          Mauro Dalla Mura                  dallamura@disi.unitn.it         8 / 19
General Approach for Image Simplication     Methodology

Architecture of the Proposed General Approach


                  X
                             Parameters Selection

                                                                Bank of
                                 Scenario 1                                                        Y
                                                            Connected Filters
                                                            e. g., attribute thinning,
                                                            attribute thickening, ...
            Application
                                 Scenario 2
            Knowledge


             Scene                                            Performance
           Knowledge             Scenario 3                   Assessment




  The proposed approach is composed of two modules that perform the operations
  of:



  IGARSS 2011 (24-29 July)                    Mauro Dalla Mura                       dallamura@disi.unitn.it   9 / 19
General Approach for Image Simplication     Methodology

Architecture of the Proposed General Approach


                  X
                             Parameters Selection

                                                                Bank of
                                 Scenario 1                                                        Y
                                                            Connected Filters
                                                            e. g., attribute thinning,
                                                            attribute thickening, ...
            Application
                                 Scenario 2
            Knowledge


             Scene                                            Performance
           Knowledge             Scenario 3                   Assessment




  The proposed approach is composed of two modules that perform the operations
  of:
    1 selection of the parameters and operators;



  IGARSS 2011 (24-29 July)                    Mauro Dalla Mura                       dallamura@disi.unitn.it   9 / 19
General Approach for Image Simplication     Methodology

Architecture of the Proposed General Approach


                  X
                             Parameters Selection

                                                                Bank of
                                 Scenario 1                                                        Y
                                                            Connected Filters
                                                            e. g., attribute thinning,
                                                            attribute thickening, ...
            Application
                                 Scenario 2
            Knowledge


             Scene                                            Performance
           Knowledge             Scenario 3                   Assessment




  The proposed approach is composed of two modules that perform the operations
  of:
    1 selection of the parameters and operators;
    2 ltering.

  IGARSS 2011 (24-29 July)                    Mauro Dalla Mura                       dallamura@disi.unitn.it   9 / 19
General Approach for Image Simplication      Methodology

Filter Selection and Operative Scenarios




  Operative Scenarios
  Information available as prior
  knowledge:                                     X
                                                         Parameters Selection
    1 Scenario 1
                   %
       Scene Knowledge                                       Scenario 1
                                                                                        Bank of
                                                                                                                 Y

                       %
                                                                                    Connected Filters
       Application Knowledge                                                        e. g., attribute thinning,

    2 Scenario 2                           Application
                                                                                    attribute thickening, ...


                   %
       Scene Knowledge
                                           Knowledge
                                                             Scenario 2

                       
       Application Knowledge

    3 Scenario 3                            Scene
                                                             Scenario 3
                                                                                      Performance

                   
                                          Knowledge                                   Assessment
       Scene Knowledge

                       
       Application Knowledge




  IGARSS 2011 (24-29 July)                  Mauro Dalla Mura                    dallamura@disi.unitn.it              10 / 19
General Approach for Image Simplication      Methodology

Filter Selection and Operative Scenarios




  Operative Scenarios
  Information available as prior
  knowledge:                                     X
                                                         Parameters Selection
    1 Scenario 1
                   %
       Scene Knowledge                                       Scenario 1
                                                                                        Bank of
                                                                                                                 Y

                       %
                                                                                    Connected Filters
       Application Knowledge                                                        e. g., attribute thinning,

    2 Scenario 2                           Application
                                                                                    attribute thickening, ...


                   %
       Scene Knowledge
                                           Knowledge
                                                             Scenario 2

                       
       Application Knowledge

    3 Scenario 3                            Scene
                                                             Scenario 3
                                                                                      Performance

                   
                                          Knowledge                                   Assessment
       Scene Knowledge

                       
       Application Knowledge




  IGARSS 2011 (24-29 July)                  Mauro Dalla Mura                    dallamura@disi.unitn.it              10 / 19
General Approach for Image Simplication      Methodology

Filter Selection and Operative Scenarios




  Operative Scenarios
  Information available as prior
  knowledge:                                     X
                                                         Parameters Selection
    1 Scenario 1
                   %
       Scene Knowledge                                       Scenario 1
                                                                                        Bank of
                                                                                                                 Y

                       %
                                                                                    Connected Filters
       Application Knowledge                                                        e. g., attribute thinning,

    2 Scenario 2                           Application
                                                                                    attribute thickening, ...


                   %
       Scene Knowledge
                                           Knowledge
                                                             Scenario 2

                       
       Application Knowledge

    3 Scenario 3                            Scene
                                                             Scenario 3
                                                                                      Performance

                   
                                          Knowledge                                   Assessment
       Scene Knowledge

                       
       Application Knowledge




  IGARSS 2011 (24-29 July)                  Mauro Dalla Mura                    dallamura@disi.unitn.it              10 / 19
General Approach for Image Simplication   Methodology

Data set




                                                                        Quickbird
                                                                        panchromatic
                                                                        image of 995×995
                                                                        pixels, 0.6 m
                                                                        resolution.
                                                                        Acquired over a
                                                                        residential urban
                                                                        area of Bam, Iran.



                             Panchromatic image




  IGARSS 2011 (24-29 July)                  Mauro Dalla Mura        dallamura@disi.unitn.it   11 / 19
General Approach for Image Simplication     Methodology

Scenario 1 - Application Knowledge %, Scene Knowledge %



       Aim: Generic reduction of the complexity of the image by reducing non
       informative components.
       Filtering aiming at reducing:
          1   Noisy components     ⇒     Removing small regions with values signicantly dierent
              from their surroundings;
          2   Inter-object variability   ⇒   Flattening small values dierences in homogeneous
              regions.

       Suitable to cope with most of the applications.
       Eases the interpretation of the scene.
       Exploits the contextual relations of the pixels.
       Fully automatic suitable for batch processing.




  IGARSS 2011 (24-29 July)                    Mauro Dalla Mura          dallamura@disi.unitn.it   12 / 19
General Approach for Image Simplication        Methodology

Scenario 1 - Example

  Generic simplication performed by:
      γ T φT with area attribute (remove small bright and dark regions);
      γ T with T based on relations between the regions1 (merge nested regions).


  VHR image




     Building rooftop (80×60 pixels). 2789 at regions.                 Simplied image. 1059 regions.




     1   V. Caselles and P. Monasse, Geometric Description of Images as Topographic Maps. Springer, 2010.


  IGARSS 2011 (24-29 July)                       Mauro Dalla Mura                  dallamura@disi.unitn.it   13 / 19
General Approach for Image Simplication   Methodology

Scenario 2 - Application Knowledge , Scene Knowledge %



       Filters parameters selected according to the application.
       The translation of the characteristics of the objects of interest from the
       concept to the lter parameters.
       Example:
            Application: building extraction.
            Aim of the simplication: enhance rectangular regions
            Concept: keep rectangular regions.
            Filtering: attribute lter with criterion:   {rectangularity  0.5});


  Automation
     Modeling the range of values of the features that drive the lters with fuzzy
     possibilistic functions.
     Defuzzify in order to get the values for the lters parameters.



  IGARSS 2011 (24-29 July)                Mauro Dalla Mura             dallamura@disi.unitn.it   14 / 19
General Approach for Image Simplication                Methodology

Scenario 2 - Enhancement of Buildings (Particulars)




                                                   Panchromatic image (f )




                                Filter by rec.
                                                         B
                                                    f − γR (f ) (B :   disk radius 7 pixels)




                    Attribute lter   γ T (f )   with   T = (R  0.3) ∧ (I  0.5) ∧ (50  A  5000)
                                 R: rectangularity; I: moment of inertia; A: area



  IGARSS 2011 (24-29 July)                              Mauro Dalla Mura                       dallamura@disi.unitn.it   15 / 19
General Approach for Image Simplication                Methodology

Scenario 2 - Enhancement of Buildings (Particulars)




                                                   Panchromatic image (f )




                                Filter by rec.
                                                         B
                                                    f − γR (f ) (B :   disk radius 11 pixels)




                    Attribute lter   γ T (f )   with   T = (R  0.3) ∧ (I  0.5) ∧ (50  A  5000)
                                 R: rectangularity; I: moment of inertia; A: area



  IGARSS 2011 (24-29 July)                              Mauro Dalla Mura                        dallamura@disi.unitn.it   15 / 19
General Approach for Image Simplication                Methodology

Scenario 2 - Enhancement of Buildings (Particulars)




                                                   Panchromatic image (f )




                                Filter by rec.
                                                         B
                                                    f − γR (f ) (B :   disk radius 15 pixels)




                    Attribute lter   γ T (f )   with   T = (R  0.3) ∧ (I  0.5) ∧ (50  A  5000)
                                 R: rectangularity; I: moment of inertia; A: area



  IGARSS 2011 (24-29 July)                              Mauro Dalla Mura                        dallamura@disi.unitn.it   15 / 19
General Approach for Image Simplication                Methodology

Scenario 2 - Enhancement of Buildings (Particulars)




                                                   Panchromatic image (f )




                                Filter by rec.
                                                         B
                                                    f − γR (f ) (B :   disk radius 19 pixels)




                    Attribute lter   γ T (f )   with   T = (R  0.3) ∧ (I  0.5) ∧ (50  A  5000)
                                 R: rectangularity; I: moment of inertia; A: area



  IGARSS 2011 (24-29 July)                              Mauro Dalla Mura                        dallamura@disi.unitn.it   15 / 19
General Approach for Image Simplication                 Methodology

Scenario 2 - Enhancement of Dark Elongated Structures (Particulars)




                                                 Panchromatic image (f )




                               Filter by rec.   C[φB (f ) − f ] (B :
                                                   R
                                                                       disk radius 3 pixels)




                             Attribute lter    φT (f )   with   T = (H  10000) ∧ (I  1.0)
                                           H: height; I: moment of inertia



  IGARSS 2011 (24-29 July)                         Mauro Dalla Mura                            dallamura@disi.unitn.it   16 / 19
General Approach for Image Simplication                 Methodology

Scenario 2 - Enhancement of Dark Elongated Structures (Particulars)




                                                 Panchromatic image (f )




                               Filter by rec.    C[φB (f ) − f ] (B :
                                                    R
                                                                        disk radius 7 pixels)




                             Attribute lter    φT (f )   with   T = (H  10000) ∧ (I  1.0)
                                          H: height; I: moment of inertia



  IGARSS 2011 (24-29 July)                         Mauro Dalla Mura                         dallamura@disi.unitn.it   16 / 19
General Approach for Image Simplication                Methodology

Scenario 2 - Enhancement of Dark Elongated Structures (Particulars)




                                                Panchromatic image (f )




                              Filter by rec.   C[φB (f ) − f ] (B :
                                                  R
                                                                      disk radius 11 pixels)




                             Attribute lter   φT (f )   with   T = (H  10000) ∧ (I  1.0)
                                          H: height; I: moment of inertia



  IGARSS 2011 (24-29 July)                        Mauro Dalla Mura                         dallamura@disi.unitn.it   16 / 19
General Approach for Image Simplication                Methodology

Scenario 2 - Enhancement of Dark Elongated Structures (Particulars)




                                                Panchromatic image (f )




                              Filter by rec.   C[φB (f ) − f ] (B :
                                                  R
                                                                      disk radius 15 pixels)




                             Attribute lter   φT (f )   with   T = (H  10000) ∧ (I  1.0)
                                          H: height; I: moment of inertia



  IGARSS 2011 (24-29 July)                        Mauro Dalla Mura                         dallamura@disi.unitn.it   16 / 19
General Approach for Image Simplication           Methodology

Scenario 3 - Application Knowledge , Scene Knowledge 



        Ad hoc parameters selection. If the available information is a set of labeled
        samples (i.e., a training set), the reduction of the image complexity
        generated by the ltering aims at increasing the separability of the classes.
        Performance assessment. The quality of the simplication obtained can be
        evaluated on the known samples according to a given criterion.

  Automation
     Dene a cost function to minimize, representing the tness of the generated
     result with the input requirements;
     Dene a optimization procedure and a stopping condition.
  See on Thurstday: S. Peeters, P. R. Marpu, J. A. Benediktsson, M. Dalla Mura Classication using extended

  morphological attribute proles based on dierent feature extraction techniques.




  IGARSS 2011 (24-29 July)                         Mauro Dalla Mura                   dallamura@disi.unitn.it   17 / 19
Conclusion and Future Developments

Conclusion and Future Developments


  Conclusion
     Denition of a novel general approach for image simplication based on
     connected lters (in particular attribute lters).
     Suitable for
            processing many dierent image types;
            dierent applications involving image analysis.

       Contributions:
            identication of three scenarios modeling common dierent operative
            conditions;
            giving guidelines for the automation of the process;
            qualitative evaluation of the proposed approach on a real data set in dierent
            scenarios.



  Future Developments
      Extensively test the approach on dierent type of images and applications.
      Improve the automation of the process.


  IGARSS 2011 (24-29 July)               Mauro Dalla Mura          dallamura@disi.unitn.it   18 / 19
Conclusion and Future Developments

Thanks for your attention!




  IGARSS 2011 (24-29 July)               Mauro Dalla Mura   dallamura@disi.unitn.it   19 / 19

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5 igarss2011_mdm.pdf

  • 1. A General Approach to the Spatial Simplication of Remote Sensing Images Based on Morphological Connected Filters Mauro Dalla Mura †, , Jón Atli Benediktsson , Lorenzo Bruzzone† † Department of Information Engineering and Computer Science University of Trento. Faculty of Electrical and Computer Engineering University of Iceland. IGARSS 2011 24-29 July
  • 2. Outline 1 Introduction 2 General Approach for Image Simplication Connected Operators Methodology 3 Conclusion and Future Developments IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 2 / 19
  • 3. Introduction Remote Sensing VHR Images QuickBird 60cm, Panchromatic image, Bam (Iraq) Geoeye 50cm, Pansharpened images, Vancouver (Canada) c Google ROSIS-03 1.3m, Hyperspectral image, Pavia (Italy) TerraSAR-X 1.1m, Spotlight SAR, Dorsten (Germany) The information extraction in remote sensing images is becoming increasingly complex due to the progressively higher spatial resolution of the current sensors. How to extract the informative components dealing with the huge amount of details? IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 3 / 19
  • 4. Introduction Remote Sensing VHR Images QuickBird 60cm, Panchromatic image, Bam (Iraq) Geoeye 50cm, Pansharpened images, Vancouver (Canada) c Google ROSIS-03 1.3m, Hyperspectral image, Pavia (Italy) TerraSAR-X 1.1m, Spotlight SAR, Dorsten (Germany) The information extraction in remote sensing images is becoming increasingly complex due to the progressively higher spatial resolution of the current sensors. How to extract the informative components dealing with the huge amount of details? IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 3 / 19
  • 5. Introduction Image Simplication Spatial simplication of the image. Pre-processing operation for many remote sensing applications: Image segmentation; Supervised/unsupervised thematic classication; Land cover change analysis; Object recognition and extraction; Denoising SAR images; Analysis of multiangular images. Image simplication leads to: noise reduction; exploiting the contextual relations; modeling spatial relations; removing or attenuating undesired details. Simplication of the image performed by spatial ltering, a 2-step procedure composed of: 1 selection of the lters parameters; 2 application of the operator on the image. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 4 / 19
  • 6. Introduction Image Simplication (examples) VHR optical image - dierent simplications Which details should be removed? Which operator should be applied? And which lter parameters should be selected? It depends on the application and on the type of image. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 5 / 19
  • 7. Introduction Image Simplication (examples) VHR optical image - dierent simplications Which details should be removed? Which operator should be applied? And which lter parameters should be selected? It depends on the application and on the type of image. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 5 / 19
  • 8. Introduction Image Simplication (examples) VHR optical image - dierent simplications Which details should be removed? Which operator should be applied? And which lter parameters should be selected? It depends on the application and on the type of image. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 5 / 19
  • 9. Introduction Motivation Issues related to image simplication The selection of the parameters of the lters is application dependent. Proper operators should be used. Manual operation. Aims of the work Dene a novel general approach to image simplication based on morphological connected operators; suitable for the processing of dierent types of images and dierent applications; suitable to be performed in an automated way. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 6 / 19
  • 10. General Approach for Image Simplication Connected Operators Connected Operators - Operators by Reconstruction Connected operators are morphological lters that process an image by only merging its at zones. Either completely remove or entirely preserve a region in the image. They do not distort the geometrical characteristics (e.g., shape, edges) of the structures in the image. Operators by Reconstruction Closing Closing by rec. Original image Opening by rec. Opening φB (f ) φB (f ) = Rf [δB (f )] R ε f B δ γR (f ) = Rf [εB (f )] γB (f ) IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 7 / 19
  • 11. General Approach for Image Simplication Connected Operators Connected Operators - Operators by Reconstruction Connected operators are morphological lters that process an image by only merging its at zones. Either completely remove or entirely preserve a region in the image. They do not distort the geometrical characteristics (e.g., shape, edges) of the structures in the image. Operators by Reconstruction Closing Closing by rec. Original image Opening by rec. Opening φB (f ) φB (f ) = Rf [δB (f )] R ε f B δ γR (f ) = Rf [εB (f )] γB (f ) Connected operators are suitable for the analysis of VHR images. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 7 / 19
  • 12. General Approach for Image Simplication Connected Operators Connected Operators - Attribute Filters Attribute lters are connected operators dened in the mathematical morphology framework and recently used for the analysis of remote sensing1 . Based on a measure (attribute) computed on the regions of an image. Filtering performed by removing the regions that do not fulll a condition (T ) which compares an attribute attr against a reference value λ (e.g., T = attr ≥ λ). Main operators: attribute thinning, γT ; attribute thickening, φT . Example: Dierent attributes Original image Area Standard deviation Moment of inertia Solidity 1 M. Dalla Mura, J. A. Benediktsson, B. Waske, and L. Bruzzone, Morphological attribute proles for the analysis of very high resolution images, IEEE Transactions on Geoscience and Remote Sensing, vol. 48, no. 10, pp. IGARSS 20113762, Oct. 2010. 3747 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 8 / 19
  • 13. General Approach for Image Simplication Methodology Architecture of the Proposed General Approach X Parameters Selection Bank of Scenario 1 Y Connected Filters e. g., attribute thinning, attribute thickening, ... Application Scenario 2 Knowledge Scene Performance Knowledge Scenario 3 Assessment The proposed approach is composed of two modules that perform the operations of: IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 9 / 19
  • 14. General Approach for Image Simplication Methodology Architecture of the Proposed General Approach X Parameters Selection Bank of Scenario 1 Y Connected Filters e. g., attribute thinning, attribute thickening, ... Application Scenario 2 Knowledge Scene Performance Knowledge Scenario 3 Assessment The proposed approach is composed of two modules that perform the operations of: 1 selection of the parameters and operators; IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 9 / 19
  • 15. General Approach for Image Simplication Methodology Architecture of the Proposed General Approach X Parameters Selection Bank of Scenario 1 Y Connected Filters e. g., attribute thinning, attribute thickening, ... Application Scenario 2 Knowledge Scene Performance Knowledge Scenario 3 Assessment The proposed approach is composed of two modules that perform the operations of: 1 selection of the parameters and operators; 2 ltering. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 9 / 19
  • 16. General Approach for Image Simplication Methodology Filter Selection and Operative Scenarios Operative Scenarios Information available as prior knowledge: X Parameters Selection 1 Scenario 1 % Scene Knowledge Scenario 1 Bank of Y % Connected Filters Application Knowledge e. g., attribute thinning, 2 Scenario 2 Application attribute thickening, ... % Scene Knowledge Knowledge Scenario 2 Application Knowledge 3 Scenario 3 Scene Scenario 3 Performance Knowledge Assessment Scene Knowledge Application Knowledge IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 10 / 19
  • 17. General Approach for Image Simplication Methodology Filter Selection and Operative Scenarios Operative Scenarios Information available as prior knowledge: X Parameters Selection 1 Scenario 1 % Scene Knowledge Scenario 1 Bank of Y % Connected Filters Application Knowledge e. g., attribute thinning, 2 Scenario 2 Application attribute thickening, ... % Scene Knowledge Knowledge Scenario 2 Application Knowledge 3 Scenario 3 Scene Scenario 3 Performance Knowledge Assessment Scene Knowledge Application Knowledge IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 10 / 19
  • 18. General Approach for Image Simplication Methodology Filter Selection and Operative Scenarios Operative Scenarios Information available as prior knowledge: X Parameters Selection 1 Scenario 1 % Scene Knowledge Scenario 1 Bank of Y % Connected Filters Application Knowledge e. g., attribute thinning, 2 Scenario 2 Application attribute thickening, ... % Scene Knowledge Knowledge Scenario 2 Application Knowledge 3 Scenario 3 Scene Scenario 3 Performance Knowledge Assessment Scene Knowledge Application Knowledge IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 10 / 19
  • 19. General Approach for Image Simplication Methodology Data set Quickbird panchromatic image of 995×995 pixels, 0.6 m resolution. Acquired over a residential urban area of Bam, Iran. Panchromatic image IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 11 / 19
  • 20. General Approach for Image Simplication Methodology Scenario 1 - Application Knowledge %, Scene Knowledge % Aim: Generic reduction of the complexity of the image by reducing non informative components. Filtering aiming at reducing: 1 Noisy components ⇒ Removing small regions with values signicantly dierent from their surroundings; 2 Inter-object variability ⇒ Flattening small values dierences in homogeneous regions. Suitable to cope with most of the applications. Eases the interpretation of the scene. Exploits the contextual relations of the pixels. Fully automatic suitable for batch processing. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 12 / 19
  • 21. General Approach for Image Simplication Methodology Scenario 1 - Example Generic simplication performed by: γ T φT with area attribute (remove small bright and dark regions); γ T with T based on relations between the regions1 (merge nested regions). VHR image Building rooftop (80×60 pixels). 2789 at regions. Simplied image. 1059 regions. 1 V. Caselles and P. Monasse, Geometric Description of Images as Topographic Maps. Springer, 2010. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 13 / 19
  • 22. General Approach for Image Simplication Methodology Scenario 2 - Application Knowledge , Scene Knowledge % Filters parameters selected according to the application. The translation of the characteristics of the objects of interest from the concept to the lter parameters. Example: Application: building extraction. Aim of the simplication: enhance rectangular regions Concept: keep rectangular regions. Filtering: attribute lter with criterion: {rectangularity 0.5}); Automation Modeling the range of values of the features that drive the lters with fuzzy possibilistic functions. Defuzzify in order to get the values for the lters parameters. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 14 / 19
  • 23. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Buildings (Particulars) Panchromatic image (f ) Filter by rec. B f − γR (f ) (B : disk radius 7 pixels) Attribute lter γ T (f ) with T = (R 0.3) ∧ (I 0.5) ∧ (50 A 5000) R: rectangularity; I: moment of inertia; A: area IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 15 / 19
  • 24. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Buildings (Particulars) Panchromatic image (f ) Filter by rec. B f − γR (f ) (B : disk radius 11 pixels) Attribute lter γ T (f ) with T = (R 0.3) ∧ (I 0.5) ∧ (50 A 5000) R: rectangularity; I: moment of inertia; A: area IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 15 / 19
  • 25. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Buildings (Particulars) Panchromatic image (f ) Filter by rec. B f − γR (f ) (B : disk radius 15 pixels) Attribute lter γ T (f ) with T = (R 0.3) ∧ (I 0.5) ∧ (50 A 5000) R: rectangularity; I: moment of inertia; A: area IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 15 / 19
  • 26. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Buildings (Particulars) Panchromatic image (f ) Filter by rec. B f − γR (f ) (B : disk radius 19 pixels) Attribute lter γ T (f ) with T = (R 0.3) ∧ (I 0.5) ∧ (50 A 5000) R: rectangularity; I: moment of inertia; A: area IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 15 / 19
  • 27. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Dark Elongated Structures (Particulars) Panchromatic image (f ) Filter by rec. C[φB (f ) − f ] (B : R disk radius 3 pixels) Attribute lter φT (f ) with T = (H 10000) ∧ (I 1.0) H: height; I: moment of inertia IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 16 / 19
  • 28. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Dark Elongated Structures (Particulars) Panchromatic image (f ) Filter by rec. C[φB (f ) − f ] (B : R disk radius 7 pixels) Attribute lter φT (f ) with T = (H 10000) ∧ (I 1.0) H: height; I: moment of inertia IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 16 / 19
  • 29. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Dark Elongated Structures (Particulars) Panchromatic image (f ) Filter by rec. C[φB (f ) − f ] (B : R disk radius 11 pixels) Attribute lter φT (f ) with T = (H 10000) ∧ (I 1.0) H: height; I: moment of inertia IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 16 / 19
  • 30. General Approach for Image Simplication Methodology Scenario 2 - Enhancement of Dark Elongated Structures (Particulars) Panchromatic image (f ) Filter by rec. C[φB (f ) − f ] (B : R disk radius 15 pixels) Attribute lter φT (f ) with T = (H 10000) ∧ (I 1.0) H: height; I: moment of inertia IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 16 / 19
  • 31. General Approach for Image Simplication Methodology Scenario 3 - Application Knowledge , Scene Knowledge Ad hoc parameters selection. If the available information is a set of labeled samples (i.e., a training set), the reduction of the image complexity generated by the ltering aims at increasing the separability of the classes. Performance assessment. The quality of the simplication obtained can be evaluated on the known samples according to a given criterion. Automation Dene a cost function to minimize, representing the tness of the generated result with the input requirements; Dene a optimization procedure and a stopping condition. See on Thurstday: S. Peeters, P. R. Marpu, J. A. Benediktsson, M. Dalla Mura Classication using extended morphological attribute proles based on dierent feature extraction techniques. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 17 / 19
  • 32. Conclusion and Future Developments Conclusion and Future Developments Conclusion Denition of a novel general approach for image simplication based on connected lters (in particular attribute lters). Suitable for processing many dierent image types; dierent applications involving image analysis. Contributions: identication of three scenarios modeling common dierent operative conditions; giving guidelines for the automation of the process; qualitative evaluation of the proposed approach on a real data set in dierent scenarios. Future Developments Extensively test the approach on dierent type of images and applications. Improve the automation of the process. IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 18 / 19
  • 33. Conclusion and Future Developments Thanks for your attention! IGARSS 2011 (24-29 July) Mauro Dalla Mura dallamura@disi.unitn.it 19 / 19