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Fractal Image Coding: Some Mathematical Remarks on Its Limits and Its Prospects (1995)  (Make Corrections)  (8 citations)
F.M. Dekking



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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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Lossless acceleration of fractal image encoding via the.. - Hartenstein, Saupe (2000)   (Correct)
Polar IFS + Parisian Genetic Programming =.. - COLLET, LUTTON.. (2000)   (Correct)
A Review of the Fractal Image Coding Literature - Wohlberg, de Jager (1999)   (Correct)

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0.7:   Fractal Image Compression - An Introductory Overview - Saupe, Hamzaoui, Hartenstein (1996)   (Correct)
0.7:   A Bibliography on Fractal Image Compression - Saupe, Hamzaoui (1998)   (Correct)
0.5:   From Fractal Image Compression to Fractal-based Methods in.. - Vrscay   (Correct)

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0.2:   What is the long range order in the Kolakoski sequence? - Dekking (1995)   (Correct)
0.2:   Quadtrees, Mandelbrot percolation and the modelling of random sets - Dekking (1995)   (Correct)
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Related documents from co-citation:   More   All
9:   Image coding based on a fractal theory of iterated contractive image transformat.. (context) - Jacquin - 1992
7:   Attractor coding of images - Novak
7:   Fractal Image Compression (context) - Fisher - 1994

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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