IMPROVING THE PERFORMANCE OF FRACTAL IMAGE CODING

This paper presents a new fractal image coding (FIC) scheme to exploit the self-similarly at the same resolution scale in natural images. The new scheme can assure the convergence of FIC transforms without some limiting conditions like Zhao's, and we also give the convergence proof of our new scheme in this paper. Our scheme also uses a recursive scheme feeding the coding results back to update domain pools during the coding process to improve the decoded image quality. At the end of the coding process, the "climbing mountain" method is used to adjust the parameters to further improve the decoded image quality. Experimental results show our scheme can achieve a better rate- distortion curve than conventional FIC scheme.

[1]  Michael F. Barnsley,et al.  A better way to compress images , 1988 .

[2]  Arnaud E. Jacquin,et al.  Image coding based on a fractal theory of iterated contractive image transformations , 1992, IEEE Trans. Image Process..

[3]  D. M. Monro,et al.  Fractal approximation of image blocks , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[4]  B. Hurtgen Contractivity of fractal transforms for image coding , 1993 .

[5]  Geir E. Øien,et al.  A new improved collage theorem with applications to multiresolution fractal image coding , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[6]  Marcel Breeuwer,et al.  Fractal coding of monochrome images , 1994, Signal Process. Image Commun..

[7]  David Jeff Jackson,et al.  Fractal Image Compression Using a Circulating Pipeline Computation Model , 1995 .

[8]  Karhunen-Loeve Based Iterated Function System Encodings , 1996 .

[9]  Dietmar Saupe,et al.  Evolutionary fractal image compression , 1996, Proceedings of 3rd IEEE International Conference on Image Processing.

[10]  D. Saupe,et al.  Evolutionary Fractal Image Compression 1. Evolution of Partitionings , 1996 .

[11]  Yao Zhao,et al.  Multiple same-sized block mapping for recursive fractal image coding , 2002 .

[12]  A Parallel Implementation of Improved Fractal Image Coding Based on Tree Topology , 2003 .