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How to transform and filter images using iterated function systems

By Michael F. Barnsley, Brendan Harding and Konstantin Igudesman

Abstract

Abstract. We present a general theory of fractal transformations and show how it leads to 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 in-terplay between discrete and continuous representations. The underlying mathematics is established and applications to digital imaging are described and exemplified. Key words. Iterated function systems, dynamical systems, fractal transformations. AMS subject classifications. 37B10, 54H20, 68U10 1. Introduction. Fracta

Year: 2016
OAI identifier: oai:CiteSeerX.psu:10.1.1.743.8408
Provided by: CiteSeerX
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