Abstract
This article presents background, theory, and specific implementation notes for an image compression scheme based on fractal transforms. Results from various implementations are presented and compared to standard image compression techniques.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B.B. Mandelbrot, B. The Fractal Geometry of Nature. W.H. Freedman and Company, New York 1977.
A. Jacquin, A Fractal Theory of Iterated Markov Operators with Applications to Digital Image Coding. Doctoral Thesis. Georgia Institute of Technology. 1989.
J.E. Hutchinson, Fractals and Self Similarity. Indiana University Mathamatics Journal, Vol. 35, No. 5. 1981.
M.F. Barnsley, Fractals Everywhere. Academic Press, San Diego, 1989.
M.F. Barnsley and A. Jacquin, “Application of Recurrent Iterated Function Systems to Images,” SPIE vol. 1001, Vis. Comm. and Image Processing 1988, pp. 122–131.
E.W. Jacobs, R.D. Boss, and Y. Fisher, “Fractal-Based Image Compression, II” NOSC TR-1362, Naval Ocean Systems Center, San Diego, CA., 1990.
Scientific American, March 1990, p 77.
M.F. Barnsley and A.D. Sloan, “Methods and Apparatus for Image Compression by Iterated Function Systems,” U.S. Patent #4941193, 1990.
A. Jacquin, “A Novel Fractal Block-Coding Technique for Digital Images,” 1990 IEEE ICASSP Proc. Vol. 4, p.2225.
Y. Fisher, E.W. Jacobs, and R.D. Boss, “Iterated Transform Image Compression,” NOSC TR-1408, Naval Ocean Systems Center, San Diego, CA., 1991.
E.W. Jacobs, Y. Fisher, and R.D. Boss, “Image Compression: A Study of the Iterated Transform Method,” Submitted to Signal Processing, 1991.
R.D. Boss, E.W. Jacobs, and Y. Fisher, “Fractal Image Compression Via Adaptive Image Partitioning,” manuscript in preparation.
X. Wu and C. Yao, “Image Coding by Adaptive Tree Structured Segmentation”, Data Compression Conference Proceedings, Snowbird Utah, IEEE Computer Society Press, Los Alamitos, California, 1991. pp 73–82.
W. Chen and W.K. Pratt, “Scene Adaptive Coder,” IEEE Trans. Comm. 32, p. 225, (1984).
M. Rabbani, P.W. Jones, Digital Image Compression Techniques, SPIE Optical Engineering Press, Bellingham, WA, (1991).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fisher, Y., Jacobs, E.W., Boss, R.D. (1992). Fractal Image Compression Using Iterated Transforms. In: Storer, J.A. (eds) Image and Text Compression. The Kluwer International Series in Engineering and Computer Science, vol 176. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3596-6_2
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3596-6_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6598-3
Online ISBN: 978-1-4615-3596-6
eBook Packages: Springer Book Archive