A R e v i e w of the Fractal Image Compression Literature Dietmar Saupe, Raouf Hamzaoui, Universit~it Freiburg D ince the conception of fractal image compression by Michael F. Barnsley around 1987, the research literature on this topic has experienced a rapid growth. Following is a brief description of the major advances in the field and the largest, comprehensive bibliography published on this topic to date. While JPEG is becoming the industry standard for image compression technology, there is ongoing research in alternative methods. Currently there are at least two exciting new developments: wavelet based methods and fractal image compression. This article is intended to provide the reader with an overview and a resource of the research on the latter. We attempt to put the work into historical perspective and to provide the most comprehensive and up-to-date list of references in the field, truly a considerable number as shown in the following table. Year Publications 1987 1988 1989 1990 1 7 7 9 Year 1991 1992 1993 (1994) Publications 17 23 31 (34) best possible approximation o f f (the contraction mapping principle ensures that a fixed point g=Tg exists and is unique). This optimization problem will
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