Application Of Chaos And Fractals To Computer Vision

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Application Of Chaos And Fractals To Computer Vision

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Author : Michael E. Farmer
language : en
Publisher: Bentham Science Publishers
Release Date : 2015-07-23

Application Of Chaos And Fractals To Computer Vision written by Michael E. Farmer and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-23 with Computers categories.

This book provides a thorough investigation of the application of chaos theory and fractal analysis to computer vision. The field of chaos theory has been studied in dynamical physical systems, and has been very successful in providing computational models for very complex problems ranging from weather systems to neural pathway signal propagation. Computer vision researchers have derived motivation for their algorithms from biology and physics for many years as witnessed by the optical flow algorithm, the oscillator model underlying graphical cuts and of course neural networks. These algorithms are very helpful for a broad range of computer vision problems like motion segmentation, texture analysis and change detection. The contents of this book include chapters in biological vision systems, foundations of chaos and fractals, behavior of images and image sequences in phase space, mathematical measures for analyzing phase space, applications to pre-attentive vision and applications to post-attentive vision. This book is intended for graduate students, upper division undergraduates, researchers and practitioners in image processing and computer vision. The readers will develop a solid understanding of the concepts of chaos theory and their application to computer vision. Readers will be introduced to a new way of thinking about computer vision problems from the perspective of complex dynamical systems. This new approach will provide them a deeper understanding of the various phenomena present in complex image scenes.

Chaos And Fractals

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Author : Clifford A. Pickover
language : en
Publisher: Elsevier Science Limited
Release Date : 1998

Chaos And Fractals written by Clifford A. Pickover and has been published by Elsevier Science Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.

These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Chaos And Fractals The Mathematics Behind The Computer Graphics

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Author : Robert L. Devaney
language : en
Publisher: American Mathematical Soc.
Release Date :

Chaos And Fractals The Mathematics Behind The Computer Graphics written by Robert L. Devaney and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Comportamiento caotico en sistemas fractales categories.

Chaos Fractals And Noise

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Author : Andrzej Lasota
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-04-01

Chaos Fractals And Noise written by Andrzej Lasota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-01 with Mathematics categories.

The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.

Chaos Dynamics And Fractals

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Author : Joseph L. McCauley
language : en
Publisher: Cambridge University Press
Release Date : 1993

Chaos Dynamics And Fractals written by Joseph L. McCauley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.

Chaos Bifurcations And Fractals Around Us A Brief Introduction

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Author : Wanda Szemplinska-stupnicka
language : en
Publisher: World Scientific
Release Date : 2003-11-11

Chaos Bifurcations And Fractals Around Us A Brief Introduction written by Wanda Szemplinska-stupnicka and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-11 with Technology & Engineering categories.

During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared. These academic tomes are intended for graduate students and require a deep knowledge of comprehensive, advanced mathematics. There is a need for a book that is accessible to general readers, a book that makes it possible to get a good deal of knowledge about complex chaotic phenomena in nonlinear oscillators without deep mathematical study.Chaos, Bifurcations and Fractals Around Us: A Brief Introduction fills that gap. It is a very short monograph that, owing to geometric interpretation complete with computer color graphics, makes it easy to understand even very complex advanced concepts of chaotic dynamics. This invaluable publication is also addressed to lecturers in engineering departments who want to include selected nonlinear problems in full time courses on general mechanics, vibrations or physics so as to encourage their students to conduct further study.

Computer Vision And Graphics

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Author : K. Wojciechowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-11

Computer Vision And Graphics written by K. Wojciechowski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-11 with Computers categories.

As the speed, capabilities, and economic advantages of modern digital devices c- tinue to grow, the need for ef?cient information processing, especially in computer - sion and graphics, dramatically increases. Growth in these ?elds stimulated by eme- ing applications has been both in concepts and techniques. New ideas, concepts and techniques are developed, presented, discussed and evaluated, subsequently expanded or abandoned. Such processes take place in different forms in various ?elds of the c- puter science and technology. The objectives of the ICCVG are: presentation of current research topics and d- cussions leading to the integration of the community engaged in machine vision and computer graphics, carrying out and supporting research in the ?eld and ?nally pro- tion of new applications. The ICCVG is a continuation of the former International Conference on Computer Graphics and Image Processing called GKPO, held in Poland every second year in May since 1990, organized by the Institute of Computer Science of the Polish Academy of Sciences, Warsaw and chaired by the Editor of the International Journal of Machine Graphics and Vision, Prof. Wojciech S. Mokrzycki.

The Beauty Of Fractals

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

The Beauty Of Fractals written by Heinz-Otto Peitgen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

In 1953 I realized that the straight line leads to the downfall of mankind. But the straight line has become an absolute tyranny. The straight line is something cowardly drawn with a rule, without thought or feeling; it is the line which does not exist in nature. And that line is the rotten foundation of our doomed civilization. Even if there are places where it is recognized that this line is rapidly leading to perdition, its course continues to be plot ted . . . Any design undertaken with the straight line will be stillborn. Today we are witnessing the triumph of rationalist knowhow and yet, at the same time, we find ourselves confronted with emptiness. An esthetic void, des ert of uniformity, criminal sterility, loss of creative power. Even creativity is prefabricated. We have become impotent. We are no longer able to create. That is our real illiteracy. Friedensreich Hundertwasser Fractals are all around us, in the shape of a mountain range or in the windings of a coast line. Like cloud formations and flickering fires some fractals under go never-ending changes while others, like trees or our own vascular systems, retain the structure they acquired in their development. To non-scientists it may seem odd that such familiar things have recently become the focus of in tense research. But familiarity is not enough to ensure that scientists have the tools for an adequate understanding.

Computer Graphics And Geometric Modelling

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Author : Max K. Agoston
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06

Computer Graphics And Geometric Modelling written by Max K. Agoston and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-06 with Computers categories.

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

Computer Vision For Multimedia Applications Methods And Solutions

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Author : Wang, Jinjun
language : en
Publisher: IGI Global
Release Date : 2010-10-31

Computer Vision For Multimedia Applications Methods And Solutions written by Wang, Jinjun and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-31 with Computers categories.

"This book presents the latest developments in computer vision methods applicable to various problems in multimedia computing, including new ideas, as well as problems in computer vision and multimedia computing"--Provided by publisher.