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Reseach Article

Image Compression with Haar Wavelet Transform

by Y. Shantikumar Singh, B. Pushpa Devi, Kh. Manglem Singh
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 121 - Number 9
Year of Publication: 2015
Authors: Y. Shantikumar Singh, B. Pushpa Devi, Kh. Manglem Singh
10.5120/21567-4603

Y. Shantikumar Singh, B. Pushpa Devi, Kh. Manglem Singh . Image Compression with Haar Wavelet Transform. International Journal of Computer Applications. 121, 9 ( July 2015), 15-18. DOI=10.5120/21567-4603

@article{ 10.5120/21567-4603,
author = { Y. Shantikumar Singh, B. Pushpa Devi, Kh. Manglem Singh },
title = { Image Compression with Haar Wavelet Transform },
journal = { International Journal of Computer Applications },
issue_date = { July 2015 },
volume = { 121 },
number = { 9 },
month = { July },
year = { 2015 },
issn = { 0975-8887 },
pages = { 15-18 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume121/number9/21567-4603/ },
doi = { 10.5120/21567-4603 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:07:59.700385+05:30
%A Y. Shantikumar Singh
%A B. Pushpa Devi
%A Kh. Manglem Singh
%T Image Compression with Haar Wavelet Transform
%J International Journal of Computer Applications
%@ 0975-8887
%V 121
%N 9
%P 15-18
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Wavelet transform is a mathematical tool for hierarchically decomposing functions. Wavelet transform has been proved to be a very useful tool for image processing in recent years. The most distinctive feature of Haar Transform lies in the fact that it lends itself easily to simple manual calculations. The aim of this paper is to describe the algorithm for image compression using Haar Transform. The quality analysis of this method has been checked for three different levels of HT scaling with varying quantization with threshold encoding scheme. In this paper, the image quality analysis is done using two sets of parameters, namely the popular peak signal to noise ratio and compression ratio.

References
  1. M. G. L. Grewe and J. P. Thiran, 2000. Multirate Coding of 3D Medical Data. In proceedings of the 2000 International Conference on Image Processing, IEEE, 3:656-659.
  2. A. Bhardwaj and R. Ali, Image Compression Using Modified Fast Haar Wavelet Transform, World Applied Science Journal 7 (5): 647-653, 2009 ISSN 1818-4952.
  3. K. Lees "Digital compression using Wavelets', Report of M. S. 2002.
  4. Wang, J. and H. K. Huang, 1996. Medical Image Compression by using 3 Dimension Wavelet Transform. IEEE Transactions on Medical Imaging, 15 (4): 547-554.
  5. B. E. J. Fadili, V. Maxim, L. Sendur, J. Sucking, B. Whitcher, M. Brammer and M. Breakspear, 2004. Wavelets and Functional NeuroImage, 23 (1): 234-249.
  6. Joe. M. J. , K. Y. Whang and S. W. Kim, 2001. Wavelet Transformation Based Management of Integrated Summary Data for Distributed Query Processing. Data and Knowledge Engg. 39 (3): 293-312.
  7. Vitter, J. S. and M. Wang, 1999. Approximate Computation of Multidimensional Aggregates of Sparse Data using Wavelets. In proceedings of the ACM SIGMOD International Conference on Management of Data, pp: 193-204.
  8. Saha S. , 2000. Image Compression from DCT to Wavelets:A Review. ACM Cross Words Students Magazine, 6 (3).
  9. Vandendrope, L. , b. Maison and F. Labeau, 1997. An Adaptive Transform Approach for Image Compression. IEEE Digital Signal Processing Workshop, pp: 41-44.
  10. S. Mallat, in: A Wavelet Tour of Signal Processing, Academic Press, UK, 1999.
  11. W. B. Pennebaker, J. L. Mitchell, in: JPEG: Still Image Data Compression Standard, Van Nostrand Reinhold, USA, 1993.
  12. D. S. Taubman, M. W. Marcellin, in: JPEG2000 Image Compression Funda-mentals, Standards and Practice, Kluwer Academic Publishers, USA, 2002.
  13. K. C. Liang, C. -C. J. Kuo, WaveGuide: a joint wavelet-based image representa-tion and description system, IEEE Transactions on Image Processing 8 (11) (1999) 1619–1629.
  14. Kaiser, G. , 1998. The Fast Haar Transform: Gateway to Wavelet. Potentials, IEEE, 17 (2): 34-37.
  15. Galli, A. W. , G. T. Heydt and P. F. Ribeiro, 1996. Exploring the Power of Wavelet Analysis. IEEE Computer Application in Power, pp: 37-41.
  16. Benedetto, John J. and Frazier, Michael (editors), Wavelets; Mathematics and Applications, CRC Press, Boca RatonFL, 1996.
  17. Rafael C. Gonzalez, Richard E. Woods. (1992), Digital Image processing (2nd edition), NJ: Prentice Hall.
  18. Locker Gnome (2011), "Real World Application of Image Compression".
  19. Lawson S and Zhu J (2002) Image compression using wavelets and JPEG2000: a tutorial. Electrn. Commun. Engg. J. 5(1) 113-123.
Index Terms

Computer Science
Information Sciences

Keywords

Haar Wavelet Transform Compression ratio PSNR and MSE.