How to Transform and Filter Images Using Iterated Function Systems
Date
2011
Authors
Barnsley, Michael
Harding, Brendan
Igudesman, Konstantin
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Publisher
Society for Industrial and Applied Mathematics
Abstract
We generalize the mathematics of fractal transformations and illustrate how it leads to a new approach to the representation and processing of digital images, and consequent novel methods for filtering, watermarking, and encryption. This work substantially generalizes earlier work on fractal tops. The approach involves fractal geometry, chaotic dynamics, and an interplay between discrete and continuous representations. The underlying mathematics is established and some applications to digital imaging are described and exemplified.
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Keywords
Keywords: Chaotic dynamics; Digital image; Digital imaging; Filter images; Fractal geometry; Fractal transformation; Fractal transformations; Iterated function system; Novel methods; Dynamical systems; Functions; Fractals Dynamical systems; Fractal transformations; Iterated function systems
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Source
SIAM Journal of Imaging Sciences
Type
Journal article
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Restricted until
2037-12-31
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