Abstract
Fractal image coding is a relatively new technique of lossy image compression which exploits the piecewise self-similarity existing in an image. In this paper we present a survey of the achievements in the field. We then focus our attention on a fundamental aspect of fractal coding - that concerning the nature of the transformations used in matching natural patterns. Through the analysis of a few models we try to suggest both the difficulties and the potential of this line of research.
Résumé
Le codage d’image par fractales est une technique relativement nouvelle de compression d’image avec perte. Cette technique exploite Vauto-similarité dans les images. Cette article présente tout d’abord un bilan des travaux effectués dans le domaine. Nous étudions par la suite plus en détail l’aspect le plus fondamental de la technique : la nature des transformations utilisées dans la mise en correspondance des éléments d’image. A travers l’analyse de quelques modèles, nous essayons enfin de mettre en évidence les difficultés et le potentiel de cette approche.
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Portions reprinted, with permission, from IEEE Transactions on Image Processing, vol. 6, no. 3, pp. 373-382, March 1997.
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Popescu, D.C. Fractal image coding - achievements and prospects. Ann. Télécommun. 53, 219–228 (1998). https://doi.org/10.1007/BF02997678
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DOI: https://doi.org/10.1007/BF02997678
Key words
- Image coding
- Fractal system
- Information compression
- Algorithm complexity
- Picture quality
- Geometric transformation
- Isometry