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Many patterns in nature exhibit self-similarity: they can be compactly described via self-referential transformations.
Mémoire sur l’itération des fonctions rationnelles
G. Julia · 1918
Earlier work this paper cites.
Fractal aspects of the iteration of z→ λ \lambda z (1-z) for complex λ \lambda and z
B. B. Mandelbrot · 1980
Earlier work this paper cites.
The fractal geometry of nature , volume 1
B. B. Mandelbrot and B. B. Mandelbrot · 1982
Earlier work this paper cites.
Iterated function systems and the global construction of fractals
M. F. Barnsley and S. Demko · 1985
Earlier work this paper cites.
Fractal functions and interpolation
M. F. Barnsley · 1986
Earlier work this paper cites.
Solution of an inverse problem for fractals and other sets
M. F. Barnsley, V. Ervin, D. Hardin, and J. Lancaster · 1986
Earlier work this paper cites.
Image coding based on a fractal theory of iterated contractive image transformations
A. E. Jacquin et al · 1992
Earlier work this paper cites.
Fractal image compression , volume 366
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Earlier work this paper cites.
Fractal image coding: A review
A. E. Jacquin · 1993
Earlier work this paper cites.
A Class of Fractal Image Coders with Fast Decoder Convergence , page 153–175
G. E. Øien and S. Lepsøy · 1995
Earlier work this paper cites.
Fractal image compression
M. F. Barnsley et al · 1996
Earlier work this paper cites.
Fractal and wavelet image compression techniques , volume 40
S. T. Welstead · 1999
Earlier work this paper cites.
A technique for image magnification using partitioned iterativdupont2022coine function system
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Earlier work this paper cites.
The information bottleneck method
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Earlier work this paper cites.
Neural network approaches to fractal image compression and decompression
K. Sun, S. Lee, and P. Wu · 2001
Earlier work this paper cites.
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Earlier work this paper cites.
Self-similarity of complex networks
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Earlier work this paper cites.
A fractal and wavelet-based approach for audio coding
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