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Region Splitting and
Merging Technique for
Segmentation.
1
Group Members
๏ต Swarnadeep Modak(ECE2015/050)
๏ต Suvojit Sanyal(ECE2015/051)
๏ต Somit Samanto(ECE2015/058)
๏ต Sandipan Roy(ECE2015/40)
2
Contents
SL.NO TOPIC PAGE NO.
1. Image segmentation 4
2. Edge Detection 5
3. Intensity Histogram 6
4. Region Growing 7-9
5. Advantage and Disadvantage of
Region Growing.
10-11
6. Split and Merge Approach 12
7. Example 13
8. Split and Merge Algorithm 14-16
9. Region Splitting and Merging 17-21
10. Region Oriented Segmentation 22
11. conclusion 23
3
Image Segmentation:
โ€ข Segmentation refers to the process of partitioning a digital image into
multiple regions (sets of pixels).
โ€ข The goal of segmentation is to simplify or change the representation of an
image into something that is more meaningful and easier to analyze.
โ€ข Image segmentation is typically used to locate objects and boundaries in
images
โ€ข Each of the pixels in a region are similar with respect to some characteristic or
computed property, such as color, intensity, or texture.
4
Edge Detection
โ€ข Edges in images are areas with strong intensity contrasts โ€“
a jump in intensity from one pixel to the next.
โ€ข Edge detecting an image significantly reduces the amount
of data and filters out useless information, while
preserving the important structural properties in an
image.
โ€ข There are many ways to perform edge detection.
โ€“ Gradient - The gradient method detects the edges by looking for
the maximum and minimum in the first derivative of the image.
โ€“ Laplacian - The Laplacian method searches for zero crossings in
the second derivative of the image to find edges.
5
Intensity histograms provide a means of determining useful
intensity values as well as determining whether or not an
image is a good candidate for thresholding or stretching.
Intensity histogram based
segmentation
6
Region Growing
โ€ข Region growing is a procedure that groups pixels or sub regions into
larger regions.
โ€ข The simplest of these approaches is pixel aggregation, which starts
with a set of โ€œseedโ€ points and from these grows regions by
appending to each seed points those neighboring pixels that have
similar properties (such as gray level, texture, color, shape).
โ€ข Region growing based techniques are better than the edge-based
techniques in noisy images where edges are difficult to detect
7
7
Original figure The Seed Points
8
Result of region growing Boundaries of segmented defective welds
9
THE ADVANTAGES AND DISADVANTAGES OF
REGION GROWING
Advantages
๏ต Region growing methods can correctly separate the
regions that have the same properties we define.
๏ต Region growing methods can provide the original
images which have clear edges with good segmentation results.
๏ต The concept is simple. Weonly need a small number of seed points to represent
the property we want, then grow the region.
10
Disadvantage
โ€ข Computationally expensive
โ€ข It is a local method with no global view of the problem.
โ€ข Sensitive to noise.
โ€ข Unless the image has had a threshold function applied to
it, a continuous path of points related to color may exist
which connects any two points in the image.
11
Split and Merge Approach:
โ€ข This is a 2 step procedure:
โ€“ top-down: split image into
homogeneous quadrant regions
โ€“ bottom-up: merge similar adjacent
regions
โ€ข The algorithm includes:
Top-down
โ€“ successively subdivide image into
quadrant regions Ri
โ€“ stop when all regions are
homogeneous: P(Ri ) = TRUE) obtain
quadtree structure
Bottom-up
โ€“ at each level, merge adjacent regions
Ri and Rj if P(Ri [ Rj ) = TRUE
โ€ข Iterate until no further
splitting/merging is possible
12
EXAMPLE
13
The Split-and-Merge Algorithm
1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 0
3 1 4 9 9 8 1 0
1 1 8 8 8 4 1 0
1 1 6 6 6 3 1 0
1 1 5 6 6 3 1 0
1 1 5 6 6 2 1 0
1 1 1 1 1 1 0 0
Sample image
1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 0
3 1 4 9 9 8 1 0
1 1 8 8 8 4 1 0
1 1 6 6 6 3 1 0
1 1 5 6 6 3 1 0
1 1 5 6 6 2 1 0
1 1 1 1 1 1 0 0
Firstsplit
14
1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 0
3 1 4 9 9 8 1 0
1 1 8 8 8 4 1 0
1 1 6 6 6 3 1 0
1 1 5 6 6 3 1 0
1 1 5 6 6 2 1 0
1 1 1 1 1 1 0 0
Second split
1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 0
3 1 4 9 9 8 1 0
1 1 8 8 8 4 1 0
1 1 6 6 6 3 1 0
1 1 5 6 6 3 1 0
1 1 5 6 6 2 1 0
1 1 1 1 1 1 0 0
Third split
15
Merge
1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 0
3 1 4 9 9 8 1 0
1 1 8 8 8 4 1 0
1 1 6 6 6 3 1 0
1 1 5 6 6 3 1 0
1 1 5 6 6 2 1 0
1 1 1 1 1 1 0 0
Final result
1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 0
3 1 4 9 9 8 1 0
1 1 8 8 8 4 1 0
1 1 6 6 6 3 1 0
1 1 5 6 6 3 1 0
1 1 5 6 6 2 1 0
1 1 1 1 1 1 0 0
16
REGION SPLITTING AND MERGING
Region Splitting
โ€ข Region growing starts from a set of seed points.
โ€ข An alternative is to start with the whole image as a
single region and subdivide the regions that do not
satisfy a condition of homogeneity.
17
Region Merging
โ€ข Region merging is the opposite of region splitting.
โ€ข Start with small regions (e.g. 2x2 or 4x4 regions) and merge
the regions that have similar characteristics (such as gray level,
variance).
โ€ข Typically, splitting and merging approaches are used
iteratively
CONTUโ€ฆโ€ฆโ€ฆ.
18
โ€ข Let R represent the entire image region and select a predicate .
โ€ข One approach for segmenting R is to subdivide it successively
into smaller and smaller quadrant regions so that , for Ri ,
P(Ri) = TRUE.
โ€ข If P(R)FALSE divide the image into quadrants .
โ€ข If P is FALSE for any quadrant , subdivide that , quadrants and
so on.
โ€ข This particular splitting technique has a convenient
representation in the form called quad tree.
19
R
R2R1
R44R42R41 R43
R3 R4
Partitioned
image
Corresponding quad tree
20
๏ถ Split into four disjoint quadrants any region Ri for which
P(Ri)=FALSE.
๏ถ Merge any adjacent regions Rj and Rk for which P(Rj U Rk) =
TRUE.
๏ถ Stop when no further merging or splitting is possible.
21
REGION-ORIENTED SEGMENTATION
(a)Original image (b)Result of split and
merge procedure
(c)Result of thresholding in a
22
CONCLUSION
โ€ข Region and boundary information for the purpose of segmentation.
โ€ข Image segmentation is an essential step in most automatic graphic pattern
recognition and scene analysis problems.
โ€ข One segmentation technique over another is dictated mostly by the peculiar
characteristics of problem being measured.
23
Thank You!!
24

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Region Splitting and Merging Technique For Image segmentation.

  • 1. Region Splitting and Merging Technique for Segmentation. 1
  • 2. Group Members ๏ต Swarnadeep Modak(ECE2015/050) ๏ต Suvojit Sanyal(ECE2015/051) ๏ต Somit Samanto(ECE2015/058) ๏ต Sandipan Roy(ECE2015/40) 2
  • 3. Contents SL.NO TOPIC PAGE NO. 1. Image segmentation 4 2. Edge Detection 5 3. Intensity Histogram 6 4. Region Growing 7-9 5. Advantage and Disadvantage of Region Growing. 10-11 6. Split and Merge Approach 12 7. Example 13 8. Split and Merge Algorithm 14-16 9. Region Splitting and Merging 17-21 10. Region Oriented Segmentation 22 11. conclusion 23 3
  • 4. Image Segmentation: โ€ข Segmentation refers to the process of partitioning a digital image into multiple regions (sets of pixels). โ€ข The goal of segmentation is to simplify or change the representation of an image into something that is more meaningful and easier to analyze. โ€ข Image segmentation is typically used to locate objects and boundaries in images โ€ข Each of the pixels in a region are similar with respect to some characteristic or computed property, such as color, intensity, or texture. 4
  • 5. Edge Detection โ€ข Edges in images are areas with strong intensity contrasts โ€“ a jump in intensity from one pixel to the next. โ€ข Edge detecting an image significantly reduces the amount of data and filters out useless information, while preserving the important structural properties in an image. โ€ข There are many ways to perform edge detection. โ€“ Gradient - The gradient method detects the edges by looking for the maximum and minimum in the first derivative of the image. โ€“ Laplacian - The Laplacian method searches for zero crossings in the second derivative of the image to find edges. 5
  • 6. Intensity histograms provide a means of determining useful intensity values as well as determining whether or not an image is a good candidate for thresholding or stretching. Intensity histogram based segmentation 6
  • 7. Region Growing โ€ข Region growing is a procedure that groups pixels or sub regions into larger regions. โ€ข The simplest of these approaches is pixel aggregation, which starts with a set of โ€œseedโ€ points and from these grows regions by appending to each seed points those neighboring pixels that have similar properties (such as gray level, texture, color, shape). โ€ข Region growing based techniques are better than the edge-based techniques in noisy images where edges are difficult to detect 7
  • 8. 7 Original figure The Seed Points 8
  • 9. Result of region growing Boundaries of segmented defective welds 9
  • 10. THE ADVANTAGES AND DISADVANTAGES OF REGION GROWING Advantages ๏ต Region growing methods can correctly separate the regions that have the same properties we define. ๏ต Region growing methods can provide the original images which have clear edges with good segmentation results. ๏ต The concept is simple. Weonly need a small number of seed points to represent the property we want, then grow the region. 10
  • 11. Disadvantage โ€ข Computationally expensive โ€ข It is a local method with no global view of the problem. โ€ข Sensitive to noise. โ€ข Unless the image has had a threshold function applied to it, a continuous path of points related to color may exist which connects any two points in the image. 11
  • 12. Split and Merge Approach: โ€ข This is a 2 step procedure: โ€“ top-down: split image into homogeneous quadrant regions โ€“ bottom-up: merge similar adjacent regions โ€ข The algorithm includes: Top-down โ€“ successively subdivide image into quadrant regions Ri โ€“ stop when all regions are homogeneous: P(Ri ) = TRUE) obtain quadtree structure Bottom-up โ€“ at each level, merge adjacent regions Ri and Rj if P(Ri [ Rj ) = TRUE โ€ข Iterate until no further splitting/merging is possible 12
  • 14. The Split-and-Merge Algorithm 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 3 1 4 9 9 8 1 0 1 1 8 8 8 4 1 0 1 1 6 6 6 3 1 0 1 1 5 6 6 3 1 0 1 1 5 6 6 2 1 0 1 1 1 1 1 1 0 0 Sample image 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 3 1 4 9 9 8 1 0 1 1 8 8 8 4 1 0 1 1 6 6 6 3 1 0 1 1 5 6 6 3 1 0 1 1 5 6 6 2 1 0 1 1 1 1 1 1 0 0 Firstsplit 14
  • 15. 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 3 1 4 9 9 8 1 0 1 1 8 8 8 4 1 0 1 1 6 6 6 3 1 0 1 1 5 6 6 3 1 0 1 1 5 6 6 2 1 0 1 1 1 1 1 1 0 0 Second split 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 3 1 4 9 9 8 1 0 1 1 8 8 8 4 1 0 1 1 6 6 6 3 1 0 1 1 5 6 6 3 1 0 1 1 5 6 6 2 1 0 1 1 1 1 1 1 0 0 Third split 15
  • 16. Merge 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 3 1 4 9 9 8 1 0 1 1 8 8 8 4 1 0 1 1 6 6 6 3 1 0 1 1 5 6 6 3 1 0 1 1 5 6 6 2 1 0 1 1 1 1 1 1 0 0 Final result 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 3 1 4 9 9 8 1 0 1 1 8 8 8 4 1 0 1 1 6 6 6 3 1 0 1 1 5 6 6 3 1 0 1 1 5 6 6 2 1 0 1 1 1 1 1 1 0 0 16
  • 17. REGION SPLITTING AND MERGING Region Splitting โ€ข Region growing starts from a set of seed points. โ€ข An alternative is to start with the whole image as a single region and subdivide the regions that do not satisfy a condition of homogeneity. 17
  • 18. Region Merging โ€ข Region merging is the opposite of region splitting. โ€ข Start with small regions (e.g. 2x2 or 4x4 regions) and merge the regions that have similar characteristics (such as gray level, variance). โ€ข Typically, splitting and merging approaches are used iteratively CONTUโ€ฆโ€ฆโ€ฆ. 18
  • 19. โ€ข Let R represent the entire image region and select a predicate . โ€ข One approach for segmenting R is to subdivide it successively into smaller and smaller quadrant regions so that , for Ri , P(Ri) = TRUE. โ€ข If P(R)FALSE divide the image into quadrants . โ€ข If P is FALSE for any quadrant , subdivide that , quadrants and so on. โ€ข This particular splitting technique has a convenient representation in the form called quad tree. 19
  • 21. ๏ถ Split into four disjoint quadrants any region Ri for which P(Ri)=FALSE. ๏ถ Merge any adjacent regions Rj and Rk for which P(Rj U Rk) = TRUE. ๏ถ Stop when no further merging or splitting is possible. 21
  • 22. REGION-ORIENTED SEGMENTATION (a)Original image (b)Result of split and merge procedure (c)Result of thresholding in a 22
  • 23. CONCLUSION โ€ข Region and boundary information for the purpose of segmentation. โ€ข Image segmentation is an essential step in most automatic graphic pattern recognition and scene analysis problems. โ€ข One segmentation technique over another is dictated mostly by the peculiar characteristics of problem being measured. 23