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A Convergence Model

In: Fractal Image Compression

Author

Listed:
  • B. Bielefeld
  • Y. Fisher

Abstract

Irrespective of the underlying model, most fractal compression methods, including most of those discussed in this book, use the following approach: A contractive map τ : F→F is sought on a complete metric space F of all possible images. The Contractive Mapping Fixed-Point Theorem then implies that |τ| = lim n →∞ τon exists and is unique. The transformation τ then serves as an encoding of the image | τ |. The difficulty lies in finding τ and, when the goal is image compression, specifying it compactly.

Suggested Citation

  • B. Bielefeld & Y. Fisher, 1995. "A Convergence Model," Springer Books, in: Yuval Fisher (ed.), Fractal Image Compression, chapter 0, pages 215-228, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2472-3_11
    DOI: 10.1007/978-1-4612-2472-3_11
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