How to Transform and Filter Images using Iterated Function Systems

Details How to Transform and Filter Images using Iterated Function Systems How to Transform and Filter Images using Iterated Function Systems

2011-02-15

arxiv.org/abs/1102.3199v1

Mathematics

Geometric Topology

Scientific paper

We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. 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 applications to digital imaging are described and exemplified.

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