Michael F. Barnsley, Brendan Harding, Konstantin Igudesman. How to Transform and Filter Images using Iterated Function Systems
Submitted on: Sep 15, 2012, 17:37:04
Natural Sciences / Mathematics / Geometry
Description: 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.
The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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