(Enter summary)
Abstract: We discuss both black and white and grey value image encoding
with the classical schemes proposed by M. Barnsley, respectively A. Jacquin.
For the black and white case we prove a Decollage Theorem from which one
might deduce that the fractal coding of binary images is not feasible. For
grey value images we take a close look at the different metrics in which
collages are made. From this one might deduce that the mathematical basis
for this type of coding is somewhat smaller than usually assumed. ... (Update)
Context of citations to this paper: More
...to the inverse problem where fixed points are on the edges of the target shape. This result has been proven in the case of affine IFS in [6]. Table 2: Fitness parameters for the inverse problem, using GA Lib Local fitness tuning ff = 0:4 Mutation probabilities constant...
...3. 6 Multiresolution approaches Two multi resolution approaches for encoder complexity reduction are presented by Dekking in [Dekk95a, Dekk95b], and by Lin and Venetsanopoulos in [LiVe95a] The idea is to use the grey value pyramid associated with an image to reduce the cost...
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BibTeX entry: (Update)
Dekking, M., Fractal image coding: some mathematical remarks on its limits and its prospects, in: Conf. Proc. NATO ASI Fractal Image Encoding and Analysis, Trondheim, July 1995, Y. Fisher (ed.), to appear in Springer-Verlag, New York, 1995. http://citeseer.ist.psu.edu/dekking95fractal.html More
@techreport{ dekking95fractal,
author = "F. M. Dekking",
title = "Fractal image coding: some mathematical remarks on its limits and its prospects",
number = "DUT-TWI-95-95",
address = "Delft, The Netherlands",
year = "1995",
url = "citeseer.ist.psu.edu/dekking95fractal.html" }
Citations (may not include all citations):
375
Fractals everywhere (context) - Barnsley - 1988
44
A fractal theory of iterated Markov operators with applicati.. (context) - Jacquin - 1989
25
Fractal image compression with quad trees (context) - Fisher - 1995
24
Hierarchical interpretation of fractal image coding and its ..
- Baharov, Malah et al. - 1995
14
Fractal image coding techniques and contraction operators (context) - Bedford, Dekking et al. - 1992
13
Fractal functions (context) - Massopust - 1995
10
Fractal coding of monochrome images (context) - Bedford, Dekking et al. - 1994
5
A convergence model (context) - Bielefeld, Fisher - 1995
4
Edge detection in pictures by computer using planning (context) - Kelly - 1971
4
Efficient antialiased rendering of 3-D linear fractals (context) - Hart, De Fanti - 1991
3
An inequality for pairs of martingales and its application t.. (context) - Dekking - 1995
3
Mathematical Background (context) - Fisher - 1995
2
The solution of a functional equation (context) - Read - 1952
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