Abstract
With the development of communication technology and digital image processing, the demand for more and better images is increasing. New compression techniques are needed for storage and transmission. Fractal coding is one of the promising new coding techniques to increase compression ratios, that is beginning to be adopted worldwide by the way of the Internet. It is based on the work of Barnsley on fractals and iterated functions systems to describe them [1]. Jacquin was the first to derive an automatic fractal coding algorithm for still images [2], rapidly followed by many others [3].
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References
Barnsley, M. (1988): Fractals Everywhere. Academic Press, New York.
Jacquin, A. (1989): A Fractal Theory of Iterated Markov Operators with Applications to Digital Image Coding. PhD thesis, Georgia Institute of Technology.
Fisher, Y. (editor) (1994): Fractal Image Compression: Theory and Application. Springer-Verlag.
Vetterli, M., Kovacevic, J. (1995): Wavelets and Subband Coding. Prentice Hall PTR.
Davis, G. (1995): Self-Quantized Wavelet Subtrees: a Wavelet-Based Theory for Fractal Image Compression. In Data Compression Conference, DCC’95.
Shapiro, J. (1996): Techniques for Fast Implementation of the Embedded Zerotree Wavelet Algorithm. In International Conference on Acoustics, Speech, and Signal Processing, ICASSP’96.
Krupnik, H., Malah, D., Karnin, E. (1995): Fractal Representation of Images via the Discrete Wavelet Transform. In Eighteenth Convention of Electrical and Electronics Engineers in Israel.
Cesbron, F., Malassenet, F. (1996): Multiresolution Fractal Coding of Still Images. In International Conference on Signal Processing and Applications, IC-SPAT’96.
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© 1997 Springer-Verlag London Limited
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Cesbron, F.C., Malassenet, F.J. (1997). Wavelet and Fractal Transforms for Image Compression. In: Lévy Véhel, J., Lutton, E., Tricot, C. (eds) Fractals in Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0995-2_21
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DOI: https://doi.org/10.1007/978-1-4471-0995-2_21
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