How to Transform and Filter Images Using Iterated Function Systems

Date

2011

Authors

Barnsley, Michael
Harding, Brendan
Igudesman, Konstantin

Journal Title

Journal ISSN

Volume Title

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.

Description

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

Citation

Source

SIAM Journal of Imaging Sciences

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1137/100815293

Restricted until

2037-12-31