Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 32nd ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Nov. 2000, Tottori)
Stochastic-Computational Representation of Self-Similarity for Fractal Coding
Kohji Kamejima
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2001 Volume 2001 Pages 87-92

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Abstract
A representation of fractal patterns is presented for coding complex random patterns in noisy imagery. Target patterns are assumed to be generated as the attractors of not-yet-identified contraction mappings.For capturing fractal attractor exactly Gaussian array is introduced on continuous image model. By local analysis, most probable points of unknown attractor are extracted within the framework of entropy maximization. In this continuous-discrete representation, background noise is shown to be eliminated via input-and output-filitering. Filtered discrete image is demonstrated to yield computable information enough to design a set of reduced affine mappings to regenerate observed attractors.
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© 2001 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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