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Medical Image Compression




Digital Signal Processing

     Digital Image Processing

           Image Compression

            Medical Image Compression
Algorithms Used



Joint Photographic Experts Group
                                   DCT
Region Of Interest
Embedded Zerotree Wavelet
                                   DWT
Unit Embedded Zerotree Wavelet
1   Joint Photographic
      Experts Group
         o
         o
             Introduction
             Discrete Cosine Transformation
         o   Algorithm
         o   Compression Results
Joint Photographic Experts Group
                Introduction




    Bitmap Image,              JPEG Compressed,
        150KB                        14KB


   Based on discrete cosine transformation

   Lossy compression method

   Mostly used by digital cameras and web usage
Joint Photographic Experts Group
    Discrete Cosine Transformation




Time Domain                          Frequency Domain


  DCT is a time to frequency domain transformation.
Joint Photographic Experts Group
                        Algorithm




8x8                                    Zig-zag            Huffman
pixel       DCT       Quantization                  RLE
                                       scan               Encoding
blocks


                     Quantization                          Output
                     Table




   Quantization results in loss of information .

 Compressed output is losslessly stored .
Joint Photographic Experts Group
               Compression Results


                                                  MSE
                             250
                             200
                             150
                                                                 Lena
                             100
                                                                 X-Ray
                              50
                                                                 MRI
                               0
                                   0   0.5             1   1.5
X-Ray            MRI                         Bitrate


                                                  PSNR
                              45
                              40
                              35
                              30
                              25
                              20                                 Lena
                              15                                 X-Ray
                              10
        Lena                   5
                                                                 MRI

                               0
                                   0   0.5             1   1.5
                                             Bitrate
2   Region Of Interest
         o Introduction
         o Compression Results
         o Comparison with JPEG
Region Of Interest
                     Introduction




Original Image                              ROI



 Portion of image containing the significant information is selected
             as ROI and compressed at a higher quality .
Region Of Interest
              Compression Results


                                                          MSE
                            140
                            120
                            100
                             80
                             60                                           X-ray
                             40                                           MRI
                             20                                           CAT Scan
                                 0
X-Ray              MRI                   0   0.2    0.4      0.6   0.8
                                                   Bitrate



                                                          PSNR
                            50
                            40
                            30
                            20                                             X-ray
                            10                                             MRI
        CAT Scan             0                                             CAT Scan
                                     0       0.2    0.4      0.6    0.8
                                                   Bitrate
Region Of Interest
                         Comparison with JPEG


       140                            250                                 120
       120                                                                100
                                      200
       100                                                                 80
MSE     80                            150
                                                                           60
        60                            100
        40                                                                 40
                                       50                                  20
        20
         0                              0                                      0
             0    0.5         1             0   0.5         1   1.5                    0         0.5        1


        50                             50                                 40

PSNR    40                             40                                 30
        30                             30
                                                                          20
        20                             20
        10                             10                                 10

         0                              0                                  0
             0     0.5            1         0         0.5             1            0       0.5         1   1.5


                 X-Ray                                MRI                                   CAT
                                                                                            Scan

                              ROI
                             JPEG
3   Embedded Zerotree
        Wavelet
         o
         o
             Introduction
             Discrete Wavelet Transformation
         o   Zerotree Concept
         o   An Example
Embedded Zerotree Wavelet
                 Introduction



Embedded – The EZW encoder is based on
progressive encoding. Progressive encoding is also
known as embedded encoding.

Zerotree – A data structure called zero-tree is used in
EZW algorithm to encode the data.

Wavelet – The EZW encoder is specially designed to
work with wavelet transform. It was originally designed
to operate on images.
Embedded Zerotree Wavelet
            Discrete Wavelet Transformation




Original               First                Second                   Third
Image                 Level                  Level                   Level




      Lower sub-band has higher resolution and contains higher frequency
                                information.
Embedded Zerotree Wavelet
                  Zerotree Concept




     Quad-tree                                           An
     Structure                                        Example



A zerotree is a quad-tree having all its descendents less than the current
                               threshold.
Embedded Zerotree Wavelet
                         An Example


63    -34    49    10     7   13   -12     7
P      N     P      T     Z    Z
                                                  Dominant Pass 1
-31   23     14    -13    3    4      6    -1
 Z     T      T     T     Z    Z
                                                 Threshold = 32
15    14     3     -12    5   -7      3    9
                                                 Output =
 T     Z
                                                PNZTPTTTTZTTZZZZZ
-9    -7     -14   8      4   -2      3    2    PZZ
 T     T
-5    9      -1    47     4    6      -2   2
                                                Subordinate Pass 1
              Z    P
3     0      -3    2      3   -2      0    4     List = {63 34 49 47 }
              Z    Z
                                                 Output = 1 0 1 0
2     -3     6     -4     3    6      3    6

5     11     5     6      0    3      -4   4
4    Unit Embedded
    Zerotree Wavelet *
         o
         o
             Drawback of existing algorithm
             Concept of Unit Cell
         o   Formation of Unit Cell
         o   Comparison with existing
             algorithm




                     * Paper under Review process
Unit Embedded Zerotree Wavelet *
             Drawback of existing algorithm


                                   Dimensions        Children      Descendents



                                       8x8                  284                  378

                                     32 x 32              6,859                 8,564

                                    128 x 128          1,10,576          1,36,407

                                    256 x 256          4,43,492          5,67,959




Existing algorithm needs to check a large number of children and descendents.



                                                    * Paper under Review process
Unit Embedded Zerotree Wavelet *
             Concept of Unit Cell




                                                2
        n
                                        2

                  n




Smallest possible square matrix generated from the wavelet
  decomposed image, having the same level of wavelet
      decomposition structure as the original image.


                                        * Paper under Review process
Unit Embedded Zerotree Wavelet *
             Formation of Unit Cell


                                        Decomposition      Unit Cell
                                            Level           Order


                                               1                       2

                                               2                       4

                                               3                       8

                                               n                       2n



Smallest possible square matrix generated from the wavelet
  decomposed image, having the same level of wavelet
      decomposition structure as the original image.


                                        * Paper under Review process
Unit Embedded Zerotree Wavelet *
             Comparison to Existing Algorithm



                      Original algorithm                        Proposed algorithm
  Image
               32       64         128      256       32          64        128       256
               ×        ×           ×        ×        ×           ×          ×         ×
               32       64         128      256       32          64        128       256

  LENA        1.092   4.540      20.062    210.617   0.952       3.479     13.120    52.073


BARBARA       1.108   4.477      19.407    213.425   0.983       3.572     13.915    54.632


CAMRAMAN      1.139   4.618      20.639    200.960   0.998       3.588     13.463    53.867


GOLDHILL      1.136   4.680      20.779    216.670   0.996       3.510     13.541    54.226


 PEPPERS      1.186   4.524      19.812    214.626   1.030       3.650     14.258    54.632



 Table showing coding time (seconds) for original and proposed
                          algorithm.

                                                             * Paper under Review process
Unit Embedded Zerotree Wavelet *
                  Comparison to Existing Algorithm



                           Percent
  Image
             32       64         128      256
             ×        ×           ×        ×              80
             32       64         128      256             70
                                                          60
LENA       12.821   23.370      34.603   75.276
                                                          50
                                                  Percent
                                                          40
BARBARA    11.282   20.214      28.299   74.402           30
                                                          20
                                                          10
CAMRAMAN   12.379   22.304      34.769   73.195
                                                           0
                                                                 32 × 32      64 × 64    128 × 128     256 × 256
GOLDHILL   12.324   25.000      34.833   74.973                            Image Dimensions (pixels)

                                                    LENA       BARBARA      CAMRAMAN          GOLDHILL PEPPERS
PEPPERS    13.153   19.319      28.034   74.545




       Table showing percentage improvement in coding time using
                proposed algorithm over original algorithm.

                                                                 * Paper under Review process

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Medical Image Compression

  • 1.
  • 2. Medical Image Compression Digital Signal Processing Digital Image Processing Image Compression Medical Image Compression
  • 3. Algorithms Used Joint Photographic Experts Group DCT Region Of Interest Embedded Zerotree Wavelet DWT Unit Embedded Zerotree Wavelet
  • 4. 1 Joint Photographic Experts Group o o Introduction Discrete Cosine Transformation o Algorithm o Compression Results
  • 5. Joint Photographic Experts Group Introduction Bitmap Image, JPEG Compressed, 150KB 14KB  Based on discrete cosine transformation  Lossy compression method  Mostly used by digital cameras and web usage
  • 6. Joint Photographic Experts Group Discrete Cosine Transformation Time Domain Frequency Domain DCT is a time to frequency domain transformation.
  • 7. Joint Photographic Experts Group Algorithm 8x8 Zig-zag Huffman pixel DCT Quantization RLE scan Encoding blocks Quantization Output Table  Quantization results in loss of information .  Compressed output is losslessly stored .
  • 8. Joint Photographic Experts Group Compression Results MSE 250 200 150 Lena 100 X-Ray 50 MRI 0 0 0.5 1 1.5 X-Ray MRI Bitrate PSNR 45 40 35 30 25 20 Lena 15 X-Ray 10 Lena 5 MRI 0 0 0.5 1 1.5 Bitrate
  • 9. 2 Region Of Interest o Introduction o Compression Results o Comparison with JPEG
  • 10. Region Of Interest Introduction Original Image ROI Portion of image containing the significant information is selected as ROI and compressed at a higher quality .
  • 11. Region Of Interest Compression Results MSE 140 120 100 80 60 X-ray 40 MRI 20 CAT Scan 0 X-Ray MRI 0 0.2 0.4 0.6 0.8 Bitrate PSNR 50 40 30 20 X-ray 10 MRI CAT Scan 0 CAT Scan 0 0.2 0.4 0.6 0.8 Bitrate
  • 12. Region Of Interest Comparison with JPEG 140 250 120 120 100 200 100 80 MSE 80 150 60 60 100 40 40 50 20 20 0 0 0 0 0.5 1 0 0.5 1 1.5 0 0.5 1 50 50 40 PSNR 40 40 30 30 30 20 20 20 10 10 10 0 0 0 0 0.5 1 0 0.5 1 0 0.5 1 1.5 X-Ray MRI CAT Scan ROI JPEG
  • 13. 3 Embedded Zerotree Wavelet o o Introduction Discrete Wavelet Transformation o Zerotree Concept o An Example
  • 14. Embedded Zerotree Wavelet Introduction Embedded – The EZW encoder is based on progressive encoding. Progressive encoding is also known as embedded encoding. Zerotree – A data structure called zero-tree is used in EZW algorithm to encode the data. Wavelet – The EZW encoder is specially designed to work with wavelet transform. It was originally designed to operate on images.
  • 15. Embedded Zerotree Wavelet Discrete Wavelet Transformation Original First Second Third Image Level Level Level Lower sub-band has higher resolution and contains higher frequency information.
  • 16. Embedded Zerotree Wavelet Zerotree Concept Quad-tree An Structure Example A zerotree is a quad-tree having all its descendents less than the current threshold.
  • 17. Embedded Zerotree Wavelet An Example 63 -34 49 10 7 13 -12 7 P N P T Z Z Dominant Pass 1 -31 23 14 -13 3 4 6 -1 Z T T T Z Z  Threshold = 32 15 14 3 -12 5 -7 3 9  Output = T Z PNZTPTTTTZTTZZZZZ -9 -7 -14 8 4 -2 3 2 PZZ T T -5 9 -1 47 4 6 -2 2 Subordinate Pass 1 Z P 3 0 -3 2 3 -2 0 4  List = {63 34 49 47 } Z Z  Output = 1 0 1 0 2 -3 6 -4 3 6 3 6 5 11 5 6 0 3 -4 4
  • 18. 4 Unit Embedded Zerotree Wavelet * o o Drawback of existing algorithm Concept of Unit Cell o Formation of Unit Cell o Comparison with existing algorithm * Paper under Review process
  • 19. Unit Embedded Zerotree Wavelet * Drawback of existing algorithm Dimensions Children Descendents 8x8 284 378 32 x 32 6,859 8,564 128 x 128 1,10,576 1,36,407 256 x 256 4,43,492 5,67,959 Existing algorithm needs to check a large number of children and descendents. * Paper under Review process
  • 20. Unit Embedded Zerotree Wavelet * Concept of Unit Cell 2 n 2 n Smallest possible square matrix generated from the wavelet decomposed image, having the same level of wavelet decomposition structure as the original image. * Paper under Review process
  • 21. Unit Embedded Zerotree Wavelet * Formation of Unit Cell Decomposition Unit Cell Level Order 1 2 2 4 3 8 n 2n Smallest possible square matrix generated from the wavelet decomposed image, having the same level of wavelet decomposition structure as the original image. * Paper under Review process
  • 22. Unit Embedded Zerotree Wavelet * Comparison to Existing Algorithm Original algorithm Proposed algorithm Image 32 64 128 256 32 64 128 256 × × × × × × × × 32 64 128 256 32 64 128 256 LENA 1.092 4.540 20.062 210.617 0.952 3.479 13.120 52.073 BARBARA 1.108 4.477 19.407 213.425 0.983 3.572 13.915 54.632 CAMRAMAN 1.139 4.618 20.639 200.960 0.998 3.588 13.463 53.867 GOLDHILL 1.136 4.680 20.779 216.670 0.996 3.510 13.541 54.226 PEPPERS 1.186 4.524 19.812 214.626 1.030 3.650 14.258 54.632 Table showing coding time (seconds) for original and proposed algorithm. * Paper under Review process
  • 23. Unit Embedded Zerotree Wavelet * Comparison to Existing Algorithm Percent Image 32 64 128 256 × × × × 80 32 64 128 256 70 60 LENA 12.821 23.370 34.603 75.276 50 Percent 40 BARBARA 11.282 20.214 28.299 74.402 30 20 10 CAMRAMAN 12.379 22.304 34.769 73.195 0 32 × 32 64 × 64 128 × 128 256 × 256 GOLDHILL 12.324 25.000 34.833 74.973 Image Dimensions (pixels) LENA BARBARA CAMRAMAN GOLDHILL PEPPERS PEPPERS 13.153 19.319 28.034 74.545 Table showing percentage improvement in coding time using proposed algorithm over original algorithm. * Paper under Review process