Study of Symmetry Process Behavior in Fractal Gray Image Compression by Traditional Method

Eman A. Al-Hilo, Kawther H. Al-Khafaji

College of Education for Girls, Physics Departments, Kufa University, Najaf, Iraq..

DOI: 10.4236/jsip.2013.43B032                

Abstract

This paperstudiesthe effect of symmetry process on the compression parameters of thefractal image compression technique proposed by Jacquin.Two kinds of tests have been conducted. The first all kind of the symmetry operations [0-7] were taken; while the second tests were concentrated on studying the effect of the following parameters Block Size, Step Size, Domain Size on the probability distribution of symmetry operation. The results show that the higher value of PSNR and the lower value of ET occur atevensymmetry operation only, but compression ratio is not affected with symmetry process. Also the occurrence probability of even symmetry is more than odd symmetry for all compression parameters. This behaviour can be utilized to reducethe encoding time to 50% with preserving PSNR.

 

Keywords

Image Compression; Zero-Mean; Fractal Image Compression; Symmetry process

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A. Jacquin, “Fractal Image Coding a Review,” Process ding of the IEEE, Vol. 81, 1993, pp. 1451-1465.
[2]	M. F. Barnsley, “Fractals Everywhere,” New York Academic, second edition.
[3]	A. Kapoor, K. Arora, A. Jain and G. P. Kapoor, “Stochastic Image Compression Using Fractals,” International conference on Information Technology: Coding and Computing (ITCC 2003) Las Vegas, Nevada, Pg. 574-579, 28-30 April 2003.
[4]	D. Saupe, “The Futility of Square Isometries in Fractal Image Compression,” IEEE Int. Conf. On Image Processing (ICIP96), Lausanne, Sept. 1996.
[5]	M. Schebe, “Square Isometries as Integer Part of Fractal Transformation-An Analysis ,” FREQENZ,12 De,1996.
[6]	Y. Fisher, “Fractal Image Compression Theory and Application,” University of California, Institute for Nonlinear Science, Springer-Verlay, New York, Inc, 1995.
[7]	Y. Fisher, “Fractal Image Compression,” SIGARAPH 92 Course Notes, the San Diego Super Computer Center, University of California, an Diego, 1992
[8]	C. Frigaard, “Fast Fractal 2D/3D Image Compression, Report,” Institute of Electronic Systems, Alborg University, Laboratory of Image Analysis, 1995.
[9]	E. A. Al-Hilo, “Loay E. George, "Fractal Color Image Compression,” 4th International Conference on Nov. 2008 (ICIMU’ 2008), Malaysia.