Iterated Function Systems

Authored by: Michael F. Barnsley

Encyclopedia of Optical and Photonic Engineering

Print publication date:  September  2015
Online publication date:  September  2015

Print ISBN: 9781439850978
eBook ISBN: 9781351247184
Adobe ISBN:

10.1081/E-EOE2-120009639

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Abstract

An iterated function system (IFS) is a mathematical means for producing, analyzing, and describing complex geometrical sets and pictures. The theory of IFS is used to design algorithms for computer graphics, digital image compression, and data compression. They have inspired practical digital and optical algorithms for image compression and computer graphics. This entry provides an overview of the elementary theory associated with iterated function systems, and cover fractal image compression and optical methods.

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