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WAVELET VIDEO PROCESSING
      TECHNOLOGY




             BY-
             PRASHANT KUMAR SINGH
             ECE-’D’
             0902731073
What is Wavelet Analysis ?
   And…what is a wavelet…?




   A wavelet is a waveform of effectively limited
    duration that has an average value of zero.
Need for Compression:
 Transmission and storage of uncompressed video
  would be extremely costly and impractical
 Frame with 352x288 contains 202,752 bytes of info.
 Recoding of uncompressed version of this video at 15
  frames per second would require 3 MB. One
  minute180 MB storage. One 24-hour day262GB
 Using compression, 15 frames/second for 24
  hour1.4 GB, 187 days of video could be stored
  using the same disk space that uncompressed video
  would use in one day.
Discrete Wavelet Transform:

  The wavelet transform (WT) has gained widespread
   acceptance in signal processing and image
   compression.
  Because of their inherent multi-resolution nature,
   wavelet-coding schemes are especially suitable for
   applications where scalability and tolerable
   degradation are important
  Recently the JPEG committee has released its new
   image coding standard, JPEG-2000, which has been
   based upon DWT.
Wavelet's properties :
Short time localized waves with zero integral
 value.

Possibility of time shifting.

Flexibility.
Compression Example:
     A two dimensional (image) compression,
     using 2D wavelets analysis.
a)   The image is a Fingerprint.
b)   FBI uses a wavelet technique to compress
     its fingerprints database.
Result

Original Image   Compressed Image

                               Threshold: 3.5
                               Zeros: 42%
                               Retained
                               energy:
                               99.95%
Construction:

 We can construct discrete WT via iterated (octave-
  band) filter banks
 The analysis section is illustrated below:



       Level 1

                   Level 2




                                     Level J
                             8
Construction by ICs:
Visual Comparison:




          (a)               (b)               (c)

  (a) Original Image256x256Pixels, 24-BitRGB (b) JPEG (DCT)
  Compressed with compression ratio 43:1(c) JPEG2000 (DWT)
  Compressed with compression ratio 43:1
Performance:

 Peak Signal to Noise ratio used to be a measure
  of image quality .
 The PSNR between two images having 8 bits per
  pixel or sample in terms of decibels (dBs) is given
  by:
                        2
                      255
      PSNR = 10 log10 MSE
    -mean square error (MSE)
 Generally when PSNR is 40 dB or greater, then the
  original and the reconstructed images are virtually
  indistinguishable by human observers .
Implementation Complexity:

 The complexity of calculating wavelet transform
  depends on the length of the wavelet filters,
  which is at least one multiplication per coefficient.
 EZW, SPHIT use floating-point demands longer
  data length which increase the cost of
  computation.
 Lifting schemea new method compute DWT
  using integer arithmetic.
 DWT has been implemented in hardware such as
  ASIC and FPGA.
Advantage:
Future video/image compression
   Improved low bit-rate compression performance
   Improved lossless and lossy compression
   Improved continuous-tone and bi-level
     compression
   Transmission in noisy environments
   Robustness to bit-errors
   Progressive transmission by pixel accuracy and
     resolution
   Protective image security
Disadvantages:
 The cost of computing DWT as compared to DCT
  may be higher.
 The use of larger DWT basis functions or wavelet
  filters produces blurring and ringing noise near
  edge regions in images or video frames
 Longer compression time
 Lower quality than JPEG at low compression rates
Applications:

Image communications and image data base
Video-surveillance systems.
High Quality videos with smaller size.
All the areas in which storage is matter of
 concern.
Application in denoising.
2-D WT Example




Boats image         WT in 3 levels

               16
WT-Application in Denoising




 Boats image        Noisy image (additive Gaussian noise)

               17
WT-Application in Denoising




 Boats image   Denoised image using hard thresholding

               18
Conclusion:

 Wavelet-based coding provides substantial
  improvement in picture quality at low bit rates.
 Interaction of harmonic analysis with data
  compression, joint source channel coding, image
  coding based on models of human perception,
  scalability robustness, error resilience, and
  complexity are a few of the many outstanding
  challenges in image coding to be fully resolved
  and may affect image data compression
  performance in the years to come.
ANY QUESTIONS???

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Wavelet video processing tecnology

  • 1. WAVELET VIDEO PROCESSING TECHNOLOGY BY- PRASHANT KUMAR SINGH ECE-’D’ 0902731073
  • 2. What is Wavelet Analysis ?  And…what is a wavelet…?  A wavelet is a waveform of effectively limited duration that has an average value of zero.
  • 3. Need for Compression:  Transmission and storage of uncompressed video would be extremely costly and impractical  Frame with 352x288 contains 202,752 bytes of info.  Recoding of uncompressed version of this video at 15 frames per second would require 3 MB. One minute180 MB storage. One 24-hour day262GB  Using compression, 15 frames/second for 24 hour1.4 GB, 187 days of video could be stored using the same disk space that uncompressed video would use in one day.
  • 4. Discrete Wavelet Transform:  The wavelet transform (WT) has gained widespread acceptance in signal processing and image compression.  Because of their inherent multi-resolution nature, wavelet-coding schemes are especially suitable for applications where scalability and tolerable degradation are important  Recently the JPEG committee has released its new image coding standard, JPEG-2000, which has been based upon DWT.
  • 5. Wavelet's properties : Short time localized waves with zero integral value. Possibility of time shifting. Flexibility.
  • 6. Compression Example: A two dimensional (image) compression, using 2D wavelets analysis. a) The image is a Fingerprint. b) FBI uses a wavelet technique to compress its fingerprints database.
  • 7. Result Original Image Compressed Image Threshold: 3.5 Zeros: 42% Retained energy: 99.95%
  • 8. Construction:  We can construct discrete WT via iterated (octave- band) filter banks  The analysis section is illustrated below: Level 1 Level 2 Level J 8
  • 10. Visual Comparison: (a) (b) (c) (a) Original Image256x256Pixels, 24-BitRGB (b) JPEG (DCT) Compressed with compression ratio 43:1(c) JPEG2000 (DWT) Compressed with compression ratio 43:1
  • 11. Performance: Peak Signal to Noise ratio used to be a measure of image quality . The PSNR between two images having 8 bits per pixel or sample in terms of decibels (dBs) is given by: 2 255 PSNR = 10 log10 MSE -mean square error (MSE) Generally when PSNR is 40 dB or greater, then the original and the reconstructed images are virtually indistinguishable by human observers .
  • 12. Implementation Complexity: The complexity of calculating wavelet transform depends on the length of the wavelet filters, which is at least one multiplication per coefficient. EZW, SPHIT use floating-point demands longer data length which increase the cost of computation. Lifting schemea new method compute DWT using integer arithmetic. DWT has been implemented in hardware such as ASIC and FPGA.
  • 13. Advantage: Future video/image compression Improved low bit-rate compression performance Improved lossless and lossy compression Improved continuous-tone and bi-level compression Transmission in noisy environments Robustness to bit-errors Progressive transmission by pixel accuracy and resolution Protective image security
  • 14. Disadvantages: The cost of computing DWT as compared to DCT may be higher. The use of larger DWT basis functions or wavelet filters produces blurring and ringing noise near edge regions in images or video frames Longer compression time Lower quality than JPEG at low compression rates
  • 15. Applications: Image communications and image data base Video-surveillance systems. High Quality videos with smaller size. All the areas in which storage is matter of concern. Application in denoising.
  • 16. 2-D WT Example Boats image WT in 3 levels 16
  • 17. WT-Application in Denoising Boats image Noisy image (additive Gaussian noise) 17
  • 18. WT-Application in Denoising Boats image Denoised image using hard thresholding 18
  • 19. Conclusion:  Wavelet-based coding provides substantial improvement in picture quality at low bit rates.  Interaction of harmonic analysis with data compression, joint source channel coding, image coding based on models of human perception, scalability robustness, error resilience, and complexity are a few of the many outstanding challenges in image coding to be fully resolved and may affect image data compression performance in the years to come.