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Discrete Iterated Function Systems (Hardcover)

by Mario Peruggia (Author) "The important of data compression is constantly growing, as the need for storage and transmission of large volumes of data increases ..." (more)

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Product details

Hardcover: 200 pages
Publisher: A K Peters (1 Jun 1993)
Language English
ISBN-10: 1568810156
ISBN-13: 978-1568810157
Product Dimensions: 22.8 x 15.8 x 2 cm
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Amazon.co.uk Sales Rank: 2,283,659 in Books (See Bestsellers in Books)

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Product Description

Product Description
Since their discovery and subsequent use in a method for encoding a large class of digitized colour images, fractals have become the "golden child" of the computer graphics industry. The original encoding method is based on identification of an image with the unique stationary distribution of an ergodic Markov chain. Here, the probability structure of the chain is given in terms of an Iterated Function System (IFS) with probabilities - a finite collection of contractions on the plane and associated weights. In this book Peruggia takes this method one step further, analyzing a modified version of the widely-used probabilistic algorithm for generating IFS generated images. The modification employs discrete approximations of the chain, and the book examines the theoretical and practical consequences brought about by the discretization procedure. In particular, Peruggia explores the connections and disparities of continuous and discrete IFSs, and illustrates the implications of his discretization method, including its application to produce animated motion pictures.

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The important of data compression is constantly growing, as the need for storage and transmission of large volumes of data increases. Read the first page

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