Image Compression Using Discrete Cosine Transform & Discrete Wavelet Transform

Full Text(PDF, 3000) PP.


Author(s) 
Anitha s, Dr. C Rajgopal 

KEYWORDS 
CR, DCT, IDCT, ISO, JPEG, TV


ABSTRACT 
Image compression plays a vital role in digital image processing. The need for image compression becomes apparent when number of bits per image are computed resulting from typical sampling rates and. quantization methods. For example, the amount of storage required for given images is (i) a low resolution, TV quality, color video image which has 512 x 512 pixels/color,8 bits/pixel, and 3 colors approximately consists of 6 x 10⁶ bits;(ii) a 24 x 36 mm negative photograph scanned at 12 x 10⁻⁶mm:3000 x 2000 pixels/color, 8 bits/pixel, and 3 colors nearly contains 144 x 10⁶ bits; (3) a 14 x 17 inch radiograph scanned at 70 x 10⁻⁶mm: 5000 x 6000 pixels, 12 bits/pixel nearly contains 360 x 10⁶ bits. Thus storage of even a few images could cause a problem.DCT is one of the transforms used for lossy image compression. This paper reveals a study of the mathematical equations of the DCT and its uses with image compression.


References 

[1] R. C. Gonzalez and R. E. Woods, “Digital Image
Processing”,Second edition,pp. 411514, 2004.
[2] N. Ahmed, T. Natarajan, and K. R. Rao, ""Discrete cosine
transform,"" IEEE Trans. on Computers, vol. C23, pp. 9093,1974.
[3] A. S. Lewis and G. Knowles, ""Image Compression Using the 2D
Wavelet Transform"" IEEE Trans. on Image Processing, Vol. I . NO. 2,
PP. 244  250, APRIL 1992.
[4] Amir Averbuch, Danny Lazar, and Moshe Israeli,""Image
Compression Using Wavelet Transform and Multiresolution
Decomposition""IEEE Trans. on Image Processing, Vol. 5, No. 1,
JANUARY 1996.
[5] M. Antonini , M. Barlaud and I. Daubechies, ""Image Coding
using Wavelet Transform”,IEEE Trans. On Image Processing Vol.1,
No.2, pp. 205 – 220, APRIL 1992.
[6] Robert M. Gray,IEEE, and David L. Neuhoff, IEEE""Quantization"",
IEEE Trans. on Information Theory, Vol. 44, NO. 6,pp. 23252383,
OCTOBER 1998.(invited paper).
[7] Ronald A. DeVore, Bjorn Jawerth, and Bradley J. Lucier,
Member,""Image Compression Through Wavelet Transform Coding""
IEEE Trans. on Information Theory, Vol. 38. NO. 2, pp. 719746,
MARCH 1992.
[8] http://en.wikipedia.org/Image_compression.
[9] Greg Ames,""Image Compression"", Dec 07, 2002.
[10] S. Mallat, ""A Theory for Multiresolution Signal Decomposition:
The Wavelet Representation,"" IEEE Trans. on Pattern Analysis and
Machine Intelligence, Vol. 11, No.7, pp. 674693, July 1989.
[11] ken cabeen and Peter Gent,""Image Compression and the
Descrete Cosine Transform""Math 45,College of the Redwoods.
[12.] J. Ziv and A. Lempel, ``A Universal Algorithm for Sequential
Data Compression,'' IEEE Trans. on Information Theory, Vol. 23, pp.
337342, 1977.
[13]srchttp://searchciomidmarket.techtarget.com/sDefinition/0,,sid18
3_gci212327,00.html
[14] http://www.3.interscience.wiley.com
[15]http://en.wikipedia.org/wiki/Discrete_wavelet_transform.
[16] http://www.vectorsite.net/ttdcmp 2.html.
[17]srchttp://searchciomidmarket.techtarget.com/sDefinition/0,,sid18
3_gci212327,00.html.
[18]http://encyclopedia.jrank.org/articles/pages/6760/Image
CompressionandCoding.html
[19]http://www.fileformat.info/mirror/egff/ch09_06.html
[20] http://www.spelman.edu/%7Ecolm/wav.html


