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How to Transform and Filter Images Using Iterated Function Systems

Barnsley, Michael; Harding, Brendan; Igudesman, Konstantin


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...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: SIAM Journal of Imaging Sciences
DOI: 10.1137/100815293


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