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Cellular Automata Transforms - Theory and Applications in Multimedia Compression, Encryption, and Modeling (Paperback, Softcover reprint of the original 1st ed. 2000)
Loot Price: R4,307
Discovery Miles 43 070
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Cellular Automata Transforms - Theory and Applications in Multimedia Compression, Encryption, and Modeling (Paperback, Softcover reprint of the original 1st ed. 2000)
Series: Multimedia Systems and Applications, 16
Expected to ship within 10 - 15 working days
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Cellular Automata Transforms describes a new approach to using the
dynamical system, popularly known as cellular automata (CA), as a
tool for conducting transforms on data. Cellular automata have
generated a great deal of interest since the early 1960s when John
Conway created the `Game of Life'. This book takes a more serious
look at CA by describing methods by which information building
blocks, called basis functions (or bases), can be generated from
the evolving states. These information blocks can then be used to
construct any data. A typical dynamical system such as CA tend to
involve an infinite possibilities of rules that define the inherent
elements, neighborhood size, shape, number of states, and modes of
association, etc. To be able to build these building blocks an
elegant method had to be developed to address a large subset of
these rules. A new formula, which allows for the definition a large
subset of possible rules, is described in the book. The robustness
of this formula allows searching of the CA rule space in order to
develop applications for multimedia compression, data encryption
and process modeling. Cellular Automata Transforms is divided into
two parts. In Part I the fundamentals of cellular automata,
including the history and traditional applications are outlined.
The challenges faced in using CA to solve practical problems are
described. The basic theory behind Cellular Automata Transforms
(CAT) is developed in this part of the book. Techniques by which
the evolving states of a cellular automaton can be converted into
information building blocks are taught. The methods (including fast
convolutions) by which forward and inverse transforms of any data
can be achieved are also presented. Part II contains a description
of applications of CAT. Chapter 4 describes digital image
compression, audio compression and synthetic audio generation,
three approaches for compressing video data. Chapter 5 contains
both symmetric and public-key implementation of CAT encryption.
Possible methods of attack are also outlined. Chapter 6 looks at
process modeling by solving differential and integral equations.
Examples are drawn from physics and fluid dynamics.
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