A Convergence Model

B. Bielefeld and Y. Fisher

Chapter Chapter 11 in Fractal Image Compression, 1995, pp 215-228 from Springer

Abstract: 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.

Date: 1995
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DOI: 10.1007/978-1-4612-2472-3_11

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