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A method to select image

segmentation scale

Rahul Rakshit
rrakshit@clarku.edu
Graduate School of Geography
Clark University




 hero.clarku.edu/holmes

                          Graduate School of Geography, Clark University   1
Scale Factor: heterogeneity of a segment increases with the increase of scale factor


                                                                               30




                                                            Over-segmented
                         70                                                    250




                                                            Under-segmented




                              Graduate School of Geography, Clark University           2
Segmentation Algorithms

   Chessboard




                                                        Quadtree
                                                         Region Growing
  Watershed




                          Graduate School of Geography, Clark University   3
Objective: Selection of suitable segmentation algorithm and scale


                WS10                                WS20                     WS30




                WS40                                RG40                      RG60




                RG80                               RG100                     RG120




                            Graduate School of Geography, Clark University           4
Data




       3 Bands, 15 cm, 1331x929, Aerial Photo, 2008, MassGIS
                    Graduate School of Geography, Clark University   5
Reference Dataset




        Hand Digitized Segments, n= 546

                     Graduate School of Geography, Clark University   6
Segmentation scale comparison: Number of Segments


                Under Segmented
       RG120                                             RG= Region Growing
                                                         WS= Watershed
       RG100

        RG80

        RG60

        RG40

        WS40

        WS30

        WS20
                                                                  Over Segmented
        WS10

    Reference

                0    1000      2000         3000         4000         5000   6000   7000


                         Graduate School of Geography, Clark University                    7
Comparison Parameters




                   1.   Circularity
                   2.   Shape Index
                   3.   Over Segmentation
                   4.   Under Segmentation
                   5.   Closeness
                   6.   Hammoude Metric
                   7.   Boundary Matching




                         Graduate School of Geography, Clark University   8
Comparing shape of segments: Circularity
A 2D geometric tolerance that controls how much a feature can deviate from a perfect circle



     RG120

     RG100

      RG80

      RG60
                                                                               RG= Region Growing
                                                                               WS= Watershed
      RG40

     WS40

     WS30

     WS20

     WS10

  Reference

              0                                         5                                  10
                              Graduate School of Geography, Clark University                    9
Comparing shape of segments: Geometric Feature Shape Index


                    perimeter
       shapeindex             (Neubert et al. 2008)
                     4 area

  RG120

  RG100

    RG80

    RG60

    RG40

   WS40

   WS30

   WS20
                                                                        RG= Region Growing
   WS10                                                                 WS= Watershed
Reference

            0           1                          2                         3        4
                            Graduate School of Geography, Clark University                   10
Over and Under Segmentation


                  oversegmentation2 undersegmentation2
      Closeness                                                     (Clinton et al. 2010)
                                    2



   RG120
                                                                        Over segmentation
   RG100
                                                                        Under segmentation
    RG80
                                                                         Closeness
    RG60

    RG40

    WS40

    WS30

    WS20

    WS10

           0                  0.5                          1                   1.5             2
Perfect Match                                                                          Dissimilar
                            Graduate School of Geography, Clark University                     11
Hammoude Metric


               area(a     b) area(a             b)
          H                                             (Marcel 2009)
                        area(a b)

RG120

RG100

 RG80

 RG60

 RG40

 WS40

 WS30

 WS20

 WS10

        0.75            0.8                0.85                   0.9          0.95        1
                                                                                      Dissimilar
                              Graduate School of Geography, Clark University                   12
Distance Metric: Boundary Matching

     D (r )   r= Boundary pixel of a segment in the reference map
              D(r)= Euclidean distance between r and any boundary pixel in the segmented map
     N        N= Number of boundary pixels in the reference segment
                                                                         (Delves et. al 1992)

RG120

RG100

 RG80

 RG60

 RG40

 WS40

 WS30

 WS20

 WS10

         0                           0.5                                       1          1.5
 Perfect Match                                                                     Dissimilar
                              Graduate School of Geography, Clark University                13
Selection by weighted combination



                 Comparison Parameter                  Weights

               Difference in Circularity                     2

               Difference in Shape Index                     2

               Under Segmentation                            1

               Over Segmentation                             5

               Closeness                                    25

               Hammoude Metric                              25

               Boundary Matching                            40

              •Average of the parameter is used
              •Complement of the parameter (1-parameter) is used


                           Graduate School of Geography, Clark University   14
Results


                                         WS20                     Reference WS30
          WS10




          WS40                           RG40                              RG60




          RG80                          RG100                            RG120




                 Graduate School of Geography, Clark University                    15
Compare Segments tool




                        Graduate School of Geography, Clark University   16
Acknowledgements


Advisors:                      Prof. Robert Gilmore Pontius, Jr.
                               Prof. Colin Polsky


holmes Team:                    Albert Decatur
                                Nick Giner
                                Dan Runfola

Data:                           MassGIS

Software Support: James Toledano, IDRISI, Clark Labs
                  Shitij Mehta, ESRI


More Information: rrakshit@clarku.edu
                  http://hero.clarku.edu/holmes



This material is based upon work supported by the National Science Foundation (NSF) under grant Nos. BCS-0709685 (Coupled Natural-
Human Systems), OCE-0423565 (Long-Term Ecological Research), SES-0849985 (REU Site), and BCS-0948984 (ULTRA-ex), and by the
Clark University O'Connor '78 Endowment. Any opinions, findings and conclusions or recommendations expressed in this material are
those of the author(s) and do not necessarily reflect the views of the funders.
                                           Graduate School of Geography, Clark University                                        17

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Segmentation scale selection

  • 1. A method to select image segmentation scale Rahul Rakshit rrakshit@clarku.edu Graduate School of Geography Clark University hero.clarku.edu/holmes Graduate School of Geography, Clark University 1
  • 2. Scale Factor: heterogeneity of a segment increases with the increase of scale factor 30 Over-segmented 70 250 Under-segmented Graduate School of Geography, Clark University 2
  • 3. Segmentation Algorithms Chessboard Quadtree Region Growing Watershed Graduate School of Geography, Clark University 3
  • 4. Objective: Selection of suitable segmentation algorithm and scale WS10 WS20 WS30 WS40 RG40 RG60 RG80 RG100 RG120 Graduate School of Geography, Clark University 4
  • 5. Data 3 Bands, 15 cm, 1331x929, Aerial Photo, 2008, MassGIS Graduate School of Geography, Clark University 5
  • 6. Reference Dataset Hand Digitized Segments, n= 546 Graduate School of Geography, Clark University 6
  • 7. Segmentation scale comparison: Number of Segments Under Segmented RG120 RG= Region Growing WS= Watershed RG100 RG80 RG60 RG40 WS40 WS30 WS20 Over Segmented WS10 Reference 0 1000 2000 3000 4000 5000 6000 7000 Graduate School of Geography, Clark University 7
  • 8. Comparison Parameters 1. Circularity 2. Shape Index 3. Over Segmentation 4. Under Segmentation 5. Closeness 6. Hammoude Metric 7. Boundary Matching Graduate School of Geography, Clark University 8
  • 9. Comparing shape of segments: Circularity A 2D geometric tolerance that controls how much a feature can deviate from a perfect circle RG120 RG100 RG80 RG60 RG= Region Growing WS= Watershed RG40 WS40 WS30 WS20 WS10 Reference 0 5 10 Graduate School of Geography, Clark University 9
  • 10. Comparing shape of segments: Geometric Feature Shape Index perimeter shapeindex (Neubert et al. 2008) 4 area RG120 RG100 RG80 RG60 RG40 WS40 WS30 WS20 RG= Region Growing WS10 WS= Watershed Reference 0 1 2 3 4 Graduate School of Geography, Clark University 10
  • 11. Over and Under Segmentation oversegmentation2 undersegmentation2 Closeness (Clinton et al. 2010) 2 RG120 Over segmentation RG100 Under segmentation RG80 Closeness RG60 RG40 WS40 WS30 WS20 WS10 0 0.5 1 1.5 2 Perfect Match Dissimilar Graduate School of Geography, Clark University 11
  • 12. Hammoude Metric area(a b) area(a b) H (Marcel 2009) area(a b) RG120 RG100 RG80 RG60 RG40 WS40 WS30 WS20 WS10 0.75 0.8 0.85 0.9 0.95 1 Dissimilar Graduate School of Geography, Clark University 12
  • 13. Distance Metric: Boundary Matching D (r ) r= Boundary pixel of a segment in the reference map D(r)= Euclidean distance between r and any boundary pixel in the segmented map N N= Number of boundary pixels in the reference segment (Delves et. al 1992) RG120 RG100 RG80 RG60 RG40 WS40 WS30 WS20 WS10 0 0.5 1 1.5 Perfect Match Dissimilar Graduate School of Geography, Clark University 13
  • 14. Selection by weighted combination Comparison Parameter Weights Difference in Circularity 2 Difference in Shape Index 2 Under Segmentation 1 Over Segmentation 5 Closeness 25 Hammoude Metric 25 Boundary Matching 40 •Average of the parameter is used •Complement of the parameter (1-parameter) is used Graduate School of Geography, Clark University 14
  • 15. Results WS20 Reference WS30 WS10 WS40 RG40 RG60 RG80 RG100 RG120 Graduate School of Geography, Clark University 15
  • 16. Compare Segments tool Graduate School of Geography, Clark University 16
  • 17. Acknowledgements Advisors: Prof. Robert Gilmore Pontius, Jr. Prof. Colin Polsky holmes Team: Albert Decatur Nick Giner Dan Runfola Data: MassGIS Software Support: James Toledano, IDRISI, Clark Labs Shitij Mehta, ESRI More Information: rrakshit@clarku.edu http://hero.clarku.edu/holmes This material is based upon work supported by the National Science Foundation (NSF) under grant Nos. BCS-0709685 (Coupled Natural- Human Systems), OCE-0423565 (Long-Term Ecological Research), SES-0849985 (REU Site), and BCS-0948984 (ULTRA-ex), and by the Clark University O'Connor '78 Endowment. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the funders. Graduate School of Geography, Clark University 17

Notas do Editor

  1. I work in the holmes project in clark university and we produce land-cover maps of NE Massachusetts using very high resolution imagery. We use object based image analysis techniques to make these land-cover maps. There are many commercial image segmentation softwares available and each use different algorithms to segment the imagery. OBIA consists of two stages image segmentation and then classification of the segments. Segmentation scale is the most important parameter in the segmentation stage. UVM who gave us the training to use OBIA stated that a scale of 50 works best for them. But their imagery was different resolution from what we use for land-cover mapping. Even the literature on OBIA does not provide any information on the relation between resolution the image and the scale parameter.In our mapping exercise we had a choice of different segmentation algorithms and a choice of scale for each algorithm. The state of art in the choice of scale parameter now is to do eyeballing or visual interpretation. In this presentation I’ll show a method to quantify the selection of appropriate scale of segmentation.
  2. The scale factor which is a unit-less parameter related to resolution of the image is an important characteristic of the segmentation procedure.The heterogeneity of a segment increases with the increase in the scale factor, thus larger scale factors tend to produce larger segments.In this image we want to map the land-cover of the baseball diamond. Fine green areas, impervious surfaces and bare soil are present here.In this segmented image I have used the scale of 30 and as we can see there are far more segments in the image than are necessary. This kind od segmentation is called oversegmentation.In this image the scale is 250 and the number of images is fewer than required and as we can see the segments are missing some patches of bare soil here and here. This kind of segmentation is called under segmentation.This image shows a segmentation of 70 and this is not that oversegmented as compared to scale 30 but still separates the 3 land-cover classes here.Oversegmentation is acceptable as we can always merge the segments after classification but too many segments can slow the process.Undersegmentation is undesirable as is not possible to divide the segments into finer segments during the classification process.So Over segmentation is ok but under segmentation is undesirable in the segmentation process.The scale factor is a relative term used in different softwares a scale of 10 in one software is not the same in some other software.
  3. Watershed Algorithm: The image is regarded as a topographic surface with the gray values converted into gradients. The image is then is divided into a set of high-gradient watershed lines and low-gradient region interiors that act such as catchment basins. These catchment basins correspond to relatively homogeneous segments in the image.Region Growing : This algorithm aggregates pixels starting with seed points and grows into segments through a pair-wise clustering process until a certain threshold is reached which is normally a homogeneity criterion based on color, smoothness and compactness.
  4. No information available on relation between pixel size and scale parameter. When compared to the reference segments, a better segmentation algorithm is the one which produces equal number of segments in the same locations. Selection of optimal algorithm-associated scale parameter is therefore an important step towards high quality segmentation for a given feature type
  5. The segments in map b that have their centroid and at least 50% of surface area in the corresponding segment in map a are selected.
  6. A circular segment would have the value of 1, and as the patch became more convoluted in shape, its shape index would increase in value.