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1
Automatic MRI Brain Segmentation Using
Local Features, Self-Organizing Maps,
and Watershed
Slides by:
Mehryar Emambakhsh
Sahand University of Technology
2
Table of Contents
 Image segmentation: applications and algorithms
– Watershed
 The proposed method
– Feature extraction
– Dimension reduction
– Clustering by SOM
– Edge detection and watershed transformation
 Simulation results
 Summary
 References
3
Outline
 Image segmentation: applications and
algorithms
– Watershed
 The proposed method
– Feature extraction
– Dimension reduction
– Clustering by SOM
– Edge detection and watershed transformation
 Simulation results
 Summary
 References
4
Image segmentation: applications and
algorithms
 Image segmentation is the art of partitioning an
image, into non-overlapping/disjoint regions.
 Each of the regions should have a uniformity in their
predefined feature space.
 There are various applications for image
segmentation, such as:
– Computer aided medical diagnosis
– Military purposes
– Object detection and computer vision
– Automation and remote sensing
5
Image segmentation: applications and
algorithms
 There are numerous methods for image
segmentation:
– Active contour
  Level set and snakes [1 and 2]
– Unsupervised segmentation
  Clustering algorithms [3 and 4]
– Supervised segmentation
  Machine learning algorithms [5]
– Watershed transformation [6]
  Shape prior incorporation and edge map construction
6
Image segmentation: applications and
algorithms  watershed
– The input image is considered to be a topographic surface.
– Imagine that there is a hole in each regional minima.
– The entire topography is filling with water entering the hole
at uniform rate.
– Dams will be made at higher altitudes.
– Watershed lines are the dams.
– Consequently, basins must be located at image objects.
7
Image segmentation: applications and
algorithms  watershed
8
Image segmentation: applications and
algorithms  watershed
 Watershed algorithm
– Advantages:
 High computational speed
 Incorporating prior knowledge about object of interest
– Disadvantages:
 Sensitivity to noise  De-noising algorithms
 Over-segmentation  Region merging algorithms
9
The proposed method
10
The proposed method: Feature
extraction
 Our proposed feature space consists of:
–
–
–
11
The proposed method: Feature
extraction
 Our proposed feature space consists of
(cont.):
–
12
The proposed method: Feature
extraction
 The feature vector for pixel (i , j) will be:
 The final feature space will be:
13
The proposed method: Dimension
reduction
 The feature space dimension is:
–
– Is high and increases the computational
complexity.
14
The proposed method: Dimension
reduction
 Principal Component Analysis (PCA) is used
to reduce the feature space dimensionality.
– Feature space mean is subtracted:
– Covariance is computed:
– K eigenvectors of the corresponding K largest
eigenvalues are extracted:
15
The proposed method: Clustering by
SOM
 A two-stage SOM network is used to cluster the feature
space:
– The first stage, performs feature mapping
– The second stage, performs classification  bone, soft
tissue, fat, and background
16
The proposed method: Edge detection
and watershed transformation
 Sobel edge detection is used because of its
simplicity and smoothing effects.
 Watershed transformation is utilized on the
edge map.
17
Outline
 Image segmentation: applications and algorithms
– Watershed
 The proposed method
– Feature extraction
– Dimension reduction
– Clustering by SOM
– Edge detection and watershed transformation
 Simulation results
 Summary
 References
18
Simulation results
 Material:
– T1 human MRI brain sequence, consisting of 256 human MRI
[7] and 94 rat MRI brain [8 and 9].
 Parameters:
 300 epochs for training the first, and 200 epochs for training
the second SOM network, are used.
11
16
60,0,7
9
00
21
=
=⇒
=∆==
==
K
D
L
MM

θθ
19
Simulation results
The input image The clustering result
The feature map for the 1st
and the 2nd
SOM network
20
Simulation results
The edge map The watershed result
21
Simulation results
The input image The watershed result
22
Simulation results
– (a) The input MRI brain
– (b) The ground truth
– (c) The segmentation
result: Gaussian noise,
PSNR = 33.36 (db)
– (d) The segmentation
result: speckle noise,
PSNR = 34.13 (db)
– (e) The segmentation
result: salt and pepper
noise, PSNR = 39.33
(db)
23
Simulation results
 The result of segmentation on different
samples from dataset [7].
24
Simulation results
 SOM network topology vs. PCS (Percentage
of Correct Segmentation):
25
Outline
 Image segmentation: applications and algorithms
– Watershed
 The proposed method
– Feature extraction
– Dimension reduction
– Clustering by SOM
– Edge detection and watershed transformation
 Simulation results
 Summary
 References
26
Summary
 In this work a watershed based method is proposed for MRI brain
segmentation.
 The trained SOM network can be used to cluster other MRI
sequences.
 Our approach is robust against
– Linear  additive Gaussian noise,
– Non-linear  salt and pepper noise,
– And multiplicative noise  speckle noise.
 Compared to other feature extraction methods, such as, Gabor and
non-linear diffusion, our algorithm is simpler and much faster.
 Unlike usual watershed segmentation methods, de-noising and region
merging algorithms, which are so time-consuming, are not employed.
27
References
 [1] L. Jonasson, P. Hagmann, C. Pollo, X. Bresson, C. R. Wilson, R. Meuli, and J. Thiran. "A level set
method for segmentation of the thalamus and its nuclei in DT-MRI," Signal Processing, Tensor Signal
Processing, Volume 87, Issue 2, February 2007, Pages 309-321
 [2] K. Seongjai and Lim. Hyeona, " A hybrid level set segmentation for medical imagery," IEEE Nuclear
Science Symposium Conference Record, Volume: 3, On page(s): 5 pp.-, Oct 2005
 [3] J. Wang, J. Kong, Y. Lu, M. Qi, and B. Zhang, 2008. “A modified FCM algorithm for MRI brain image
segmentation using both local and non-local spatial constraints,”Computerized Medical Imaging and
Graphics (PMID: 18818051).
 [4] C. Lai and C. Chang, "A hierarchical evolutionary algorithm for automatic medical image
segmentation," Expert Systems with Applications, Volume 36, Issue 1, Pages 248-259, January 2009
 [5] Y. Lu, J. Wang, J. Kong, B. Zhang, and J. Zhang. “An integrated algorithm for MRI brain images
segmentation, "In Computer Vision Approaches to Medical Image Analysis, pages 132–142. Springer,
Berlin, 2006.
 [6] W. Kuo, C. Lin, and Y. Sun. Brain MR images segmentation using statistical ratio: Mapping between
watershed and competitive Hopfield clustering network algorithms. Computer Methods and Programs in
Biomedicine, 91(3):191 – 198, 2008.
 [7] www.mri-tip.com, April 2009.
 [8] http://www.egr.msu.edu/~raguin/home.html, access time: 2009-02-10
 [9] http://www.dotynmr.com/mri/mri_saippg.htm, access time: 2009-02-10
28
Thank you for your attention!

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Automatic MRI brain segmentation using local features, Self-Organizing Maps, and watershed

  • 1. 1 Automatic MRI Brain Segmentation Using Local Features, Self-Organizing Maps, and Watershed Slides by: Mehryar Emambakhsh Sahand University of Technology
  • 2. 2 Table of Contents  Image segmentation: applications and algorithms – Watershed  The proposed method – Feature extraction – Dimension reduction – Clustering by SOM – Edge detection and watershed transformation  Simulation results  Summary  References
  • 3. 3 Outline  Image segmentation: applications and algorithms – Watershed  The proposed method – Feature extraction – Dimension reduction – Clustering by SOM – Edge detection and watershed transformation  Simulation results  Summary  References
  • 4. 4 Image segmentation: applications and algorithms  Image segmentation is the art of partitioning an image, into non-overlapping/disjoint regions.  Each of the regions should have a uniformity in their predefined feature space.  There are various applications for image segmentation, such as: – Computer aided medical diagnosis – Military purposes – Object detection and computer vision – Automation and remote sensing
  • 5. 5 Image segmentation: applications and algorithms  There are numerous methods for image segmentation: – Active contour   Level set and snakes [1 and 2] – Unsupervised segmentation   Clustering algorithms [3 and 4] – Supervised segmentation   Machine learning algorithms [5] – Watershed transformation [6]   Shape prior incorporation and edge map construction
  • 6. 6 Image segmentation: applications and algorithms  watershed – The input image is considered to be a topographic surface. – Imagine that there is a hole in each regional minima. – The entire topography is filling with water entering the hole at uniform rate. – Dams will be made at higher altitudes. – Watershed lines are the dams. – Consequently, basins must be located at image objects.
  • 7. 7 Image segmentation: applications and algorithms  watershed
  • 8. 8 Image segmentation: applications and algorithms  watershed  Watershed algorithm – Advantages:  High computational speed  Incorporating prior knowledge about object of interest – Disadvantages:  Sensitivity to noise  De-noising algorithms  Over-segmentation  Region merging algorithms
  • 10. 10 The proposed method: Feature extraction  Our proposed feature space consists of: – – –
  • 11. 11 The proposed method: Feature extraction  Our proposed feature space consists of (cont.): –
  • 12. 12 The proposed method: Feature extraction  The feature vector for pixel (i , j) will be:  The final feature space will be:
  • 13. 13 The proposed method: Dimension reduction  The feature space dimension is: – – Is high and increases the computational complexity.
  • 14. 14 The proposed method: Dimension reduction  Principal Component Analysis (PCA) is used to reduce the feature space dimensionality. – Feature space mean is subtracted: – Covariance is computed: – K eigenvectors of the corresponding K largest eigenvalues are extracted:
  • 15. 15 The proposed method: Clustering by SOM  A two-stage SOM network is used to cluster the feature space: – The first stage, performs feature mapping – The second stage, performs classification  bone, soft tissue, fat, and background
  • 16. 16 The proposed method: Edge detection and watershed transformation  Sobel edge detection is used because of its simplicity and smoothing effects.  Watershed transformation is utilized on the edge map.
  • 17. 17 Outline  Image segmentation: applications and algorithms – Watershed  The proposed method – Feature extraction – Dimension reduction – Clustering by SOM – Edge detection and watershed transformation  Simulation results  Summary  References
  • 18. 18 Simulation results  Material: – T1 human MRI brain sequence, consisting of 256 human MRI [7] and 94 rat MRI brain [8 and 9].  Parameters:  300 epochs for training the first, and 200 epochs for training the second SOM network, are used. 11 16 60,0,7 9 00 21 = =⇒ =∆== == K D L MM  θθ
  • 19. 19 Simulation results The input image The clustering result The feature map for the 1st and the 2nd SOM network
  • 20. 20 Simulation results The edge map The watershed result
  • 21. 21 Simulation results The input image The watershed result
  • 22. 22 Simulation results – (a) The input MRI brain – (b) The ground truth – (c) The segmentation result: Gaussian noise, PSNR = 33.36 (db) – (d) The segmentation result: speckle noise, PSNR = 34.13 (db) – (e) The segmentation result: salt and pepper noise, PSNR = 39.33 (db)
  • 23. 23 Simulation results  The result of segmentation on different samples from dataset [7].
  • 24. 24 Simulation results  SOM network topology vs. PCS (Percentage of Correct Segmentation):
  • 25. 25 Outline  Image segmentation: applications and algorithms – Watershed  The proposed method – Feature extraction – Dimension reduction – Clustering by SOM – Edge detection and watershed transformation  Simulation results  Summary  References
  • 26. 26 Summary  In this work a watershed based method is proposed for MRI brain segmentation.  The trained SOM network can be used to cluster other MRI sequences.  Our approach is robust against – Linear  additive Gaussian noise, – Non-linear  salt and pepper noise, – And multiplicative noise  speckle noise.  Compared to other feature extraction methods, such as, Gabor and non-linear diffusion, our algorithm is simpler and much faster.  Unlike usual watershed segmentation methods, de-noising and region merging algorithms, which are so time-consuming, are not employed.
  • 27. 27 References  [1] L. Jonasson, P. Hagmann, C. Pollo, X. Bresson, C. R. Wilson, R. Meuli, and J. Thiran. "A level set method for segmentation of the thalamus and its nuclei in DT-MRI," Signal Processing, Tensor Signal Processing, Volume 87, Issue 2, February 2007, Pages 309-321  [2] K. Seongjai and Lim. Hyeona, " A hybrid level set segmentation for medical imagery," IEEE Nuclear Science Symposium Conference Record, Volume: 3, On page(s): 5 pp.-, Oct 2005  [3] J. Wang, J. Kong, Y. Lu, M. Qi, and B. Zhang, 2008. “A modified FCM algorithm for MRI brain image segmentation using both local and non-local spatial constraints,”Computerized Medical Imaging and Graphics (PMID: 18818051).  [4] C. Lai and C. Chang, "A hierarchical evolutionary algorithm for automatic medical image segmentation," Expert Systems with Applications, Volume 36, Issue 1, Pages 248-259, January 2009  [5] Y. Lu, J. Wang, J. Kong, B. Zhang, and J. Zhang. “An integrated algorithm for MRI brain images segmentation, "In Computer Vision Approaches to Medical Image Analysis, pages 132–142. Springer, Berlin, 2006.  [6] W. Kuo, C. Lin, and Y. Sun. Brain MR images segmentation using statistical ratio: Mapping between watershed and competitive Hopfield clustering network algorithms. Computer Methods and Programs in Biomedicine, 91(3):191 – 198, 2008.  [7] www.mri-tip.com, April 2009.  [8] http://www.egr.msu.edu/~raguin/home.html, access time: 2009-02-10  [9] http://www.dotynmr.com/mri/mri_saippg.htm, access time: 2009-02-10
  • 28. 28 Thank you for your attention!