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PRENSENTED BY
SWATHI. B
 This paper presents a new approach for image segmentation by
applying Pillar-K-means algorithm.
 This segmentation process includes a new mechanism for
clustering the elements of high-resolution images in order to
improve precision and reduce computation time
 The system applies K-means clustering to the image
segmentation after optimized by Pillar Algorithm
 This algorithm is able to optimize the K-means clustering for
image segmentation in aspects of precision and computation
time.
3
Segmentation
 Divide the image into segments.
 Each segment:
– Looks uniform
– Belongs to a single object.
– Have some uniform attributes.
– All the pixel related to it are connected.
Main approaches
• Histogram-based segmentation
• Region-based segmentation
– Edge detection
– Region growing
– Region splitting and merging.
• Clustering
– K-means
– C-means
– Pillar-k means
4
 Practical Applications of Image segmentation
 Medical Applications
 Locate tumors and other pathologies
 Measure tissue volumes
 Computer guided surgery
 Diagnosis
 Treatment planning
 Study of anatomical structure
 Locate objects in satellite images (roads, forests, etc)
 Face Recognition
 Finger print Recognition , etc
Idea:
•Determine the number of clusters
•Find the cluster centers and point-cluster correspondences
to minimize error
Problem: Exhaustive search is too expensive.
Solution: We will use instead an iterative search.
[Recall the ideal quantization procedure.]
Algorithm
– fix cluster centers; allocate points to closest cluster
– fix allocation; compute best cluster centers
K-means
Error function =
6
Algorithm
 The K-means algorithm is an iterative technique that is used to
partition an image into K clusters.
 The basic algorithm is:
 Pick K cluster centers, either randomly or based on some
heuristic
 Assign each pixel in the image to the cluster that minimizes the
variance between the pixel and the cluster center
 Re-compute the cluster centers by averaging all of the pixels in
the cluster
 Repeat steps 2 and 3 until convergence is attained (e.g. no
pixels change clusters)
Example – clustering with K-means using gray-
level and color histograms
(from slides by D.A. forsyth)
8
C-means
The fuzzy c-means algorithm is very similar to the k-means algorithm:
 Choose a number of clusters.
 Assign randomly to each point coefficients for being in the clusters.
 Repeat until the algorithm has converged (that is, the coefficients'
change between two iterations is no more than , the given sensitivity
threshold) :
 Compute the centroid for each cluster, using the formula above.
 For each point, compute its coefficients of being in the clusters,
 The algorithm minimizes intra-cluster variance as well, but has
the same problems as k-means, the minimum is a local
minimum.
 And the results depend on the initial choice of weights.
 The expectation-maximization algorithm is a more statistically
formalized method which includes some of these ideas:
 partial membership in classes. It has better convergence
properties and is in general preferred to fuzzy-c-means.
• Pillar K-means
• The image segmentation is important to unify contiguous colors in
the color vector space into representative colors.
• It can improve significantly performance of the information
extraction, such as color, shape, texture, and structure.
• This section describes our approach for image segmentation using
our proposed Pillar algorithm to optimize K-means clustering.
• The image segmentation system pre-proceeds three steps:
Noise removal,
Color space transformation
Dataset normalization.
Initial centroid optimization of k-means clustering for image
segmentation
CONCLUSION
In this project, we have presented a new approach for image
segmentation using Pillar-K-means algorithm.
The system applies K-means clustering after optimized by Pillar Algorithm.
This algorithm is able to optimize the K-means clustering for image segmentation in
aspects of precision and computation time.
A series of experiments involving four different color spaces with variance
constraint and execution time were conducted.
•
THANK YOU

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Pillar k means

  • 2.  This paper presents a new approach for image segmentation by applying Pillar-K-means algorithm.  This segmentation process includes a new mechanism for clustering the elements of high-resolution images in order to improve precision and reduce computation time  The system applies K-means clustering to the image segmentation after optimized by Pillar Algorithm  This algorithm is able to optimize the K-means clustering for image segmentation in aspects of precision and computation time.
  • 3. 3 Segmentation  Divide the image into segments.  Each segment: – Looks uniform – Belongs to a single object. – Have some uniform attributes. – All the pixel related to it are connected.
  • 4. Main approaches • Histogram-based segmentation • Region-based segmentation – Edge detection – Region growing – Region splitting and merging. • Clustering – K-means – C-means – Pillar-k means 4
  • 5.  Practical Applications of Image segmentation  Medical Applications  Locate tumors and other pathologies  Measure tissue volumes  Computer guided surgery  Diagnosis  Treatment planning  Study of anatomical structure  Locate objects in satellite images (roads, forests, etc)  Face Recognition  Finger print Recognition , etc
  • 6. Idea: •Determine the number of clusters •Find the cluster centers and point-cluster correspondences to minimize error Problem: Exhaustive search is too expensive. Solution: We will use instead an iterative search. [Recall the ideal quantization procedure.] Algorithm – fix cluster centers; allocate points to closest cluster – fix allocation; compute best cluster centers K-means Error function = 6
  • 7. Algorithm  The K-means algorithm is an iterative technique that is used to partition an image into K clusters.  The basic algorithm is:  Pick K cluster centers, either randomly or based on some heuristic  Assign each pixel in the image to the cluster that minimizes the variance between the pixel and the cluster center  Re-compute the cluster centers by averaging all of the pixels in the cluster  Repeat steps 2 and 3 until convergence is attained (e.g. no pixels change clusters)
  • 8. Example – clustering with K-means using gray- level and color histograms (from slides by D.A. forsyth) 8
  • 9. C-means The fuzzy c-means algorithm is very similar to the k-means algorithm:  Choose a number of clusters.  Assign randomly to each point coefficients for being in the clusters.  Repeat until the algorithm has converged (that is, the coefficients' change between two iterations is no more than , the given sensitivity threshold) :  Compute the centroid for each cluster, using the formula above.  For each point, compute its coefficients of being in the clusters,
  • 10.  The algorithm minimizes intra-cluster variance as well, but has the same problems as k-means, the minimum is a local minimum.  And the results depend on the initial choice of weights.  The expectation-maximization algorithm is a more statistically formalized method which includes some of these ideas:  partial membership in classes. It has better convergence properties and is in general preferred to fuzzy-c-means.
  • 11. • Pillar K-means • The image segmentation is important to unify contiguous colors in the color vector space into representative colors. • It can improve significantly performance of the information extraction, such as color, shape, texture, and structure. • This section describes our approach for image segmentation using our proposed Pillar algorithm to optimize K-means clustering. • The image segmentation system pre-proceeds three steps: Noise removal, Color space transformation Dataset normalization.
  • 12.
  • 13. Initial centroid optimization of k-means clustering for image segmentation
  • 14. CONCLUSION In this project, we have presented a new approach for image segmentation using Pillar-K-means algorithm. The system applies K-means clustering after optimized by Pillar Algorithm. This algorithm is able to optimize the K-means clustering for image segmentation in aspects of precision and computation time. A series of experiments involving four different color spaces with variance constraint and execution time were conducted. •