Fractals In Multimedia
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Fractals In Multimedia
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Author : Michael F. Barnsley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fractals In Multimedia written by Michael F. Barnsley 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 2012-12-06 with Computers categories.
This IMA Volume in Mathematics and its Applications FRACTALS IN MULTIMEDIA is a result of a very successful three-day minisymposium on the same title. The event was an integral part of the IMA annual program on Mathemat ics in Multimedia, 2000-2001. We would like to thank Michael F. Barnsley (Department of Mathematics and Statistics, University of Melbourne), Di etmar Saupe (Institut fUr Informatik, UniversiUit Leipzig), and Edward R. Vrscay (Department of Applied Mathematics, University of Waterloo) for their excellent work as organizers of the meeting and for editing the proceedings. We take this opportunity to thank the National Science Foundation for their support of the IMA. Series Editors Douglas N. Arnold, Director of the IMA Fadil Santosa, Deputy Director of the IMA v PREFACE This volume grew out of a meeting on Fractals in Multimedia held at the IMA in January 2001. The meeting was an exciting and intense one, focused on fractal image compression, analysis, and synthesis, iterated function systems and fractals in education. The central concerns of the meeting were to establish within these areas where we are now and to develop a vision for the future.
Fractal Media
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Author : Daniel C. Doolan
language : en
Publisher:
Release Date : 2005
Fractal Media written by Daniel C. Doolan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Multimedia systems categories.
Fractals Graphics And Mathematics Education
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Author : Michael Frame
language : en
Publisher: Cambridge University Press
Release Date : 2002-06-20
Fractals Graphics And Mathematics Education written by Michael Frame 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 2002-06-20 with Computers categories.
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Fractal Functions Fractal Surfaces And Wavelets
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Author : Peter R. Massopust
language : en
Publisher: Academic Press
Release Date : 2016-09-02
Fractal Functions Fractal Surfaces And Wavelets written by Peter R. Massopust and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-02 with Mathematics categories.
Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust's work on and contributions to the theory of fractal interpolation, and the author uses a number of tools—including analysis, topology, algebra, and probability theory—to introduce readers to this exciting subject. Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content. - Offers a comprehensive presentation of fractal functions and fractal surfaces - Includes latest developments in fractal interpolation - Connects fractal geometry with wavelet theory - Includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet sets - Deepens and extends the pedagogical content
Superfractals
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Author : Michael Fielding Barnsley
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-07
Superfractals written by Michael Fielding Barnsley 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 2006-09-07 with Computers categories.
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Advanced Fractal Graph Theory And Applications
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Author : P. Tharaniya
language : en
Publisher: CRC Press
Release Date : 2024-12-30
Advanced Fractal Graph Theory And Applications written by P. Tharaniya and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-30 with Mathematics categories.
This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various domains, including natural phenomena modeling, scheduling, and network optimisation. This book: Illustrates the innovative ways fractals and graph theory can be combined, laying the groundwork for future applications across various industries Introduces the fundamental concepts and principles of both fractals and graph theory in detail, making it accessible to a broad audience, including those new to these topics Explores practical applications in image processing, network optimisation, social network analysis, and more, demonstrating the real-world impact of these mathematical tools Analyses advanced techniques in graph theory, such as matching, domination, and colouring, with practical examples and case studies Highlights the latest research advancements in fractal graph theory, showcasing its potential for future developments and applications This book is for students, researchers, and professionals in mathematics, computer science, engineering, and related fields.
Intelligent Fractal Based Image Analysis
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Author : Soumya Ranjan Nayak
language : en
Publisher: Elsevier
Release Date : 2024-05-27
Intelligent Fractal Based Image Analysis written by Soumya Ranjan Nayak and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-27 with Computers categories.
Fractals are infinite, complex patterns used in modeling physical and dynamic systems. Fractal theory research has increased across different fields of applications including engineering science, health science, and social science. Recent literature shows the vital role fractals play in digital image analysis, specifically in biomedical image processing. Fractal graphics is an interdisciplinary field that deals with how computers can be used to gain high-level understanding from digital images. Integrating artificial intelligence with fractal characteristics has resulted in new interdisciplinary research in the fields of pattern recognition and image processing analysis. Intelligent Fractal-Based Image Analysis: Application in Pattern Recognition and Machine Vision provides insights into the current strengths and weaknesses of different applications as well as research findings on fractal graphics in engineering and science applications. The book aims to improve the exchange of ideas and coherence between various core computing methods and highlight the relevance of related application areas for advanced as well as novice-user application. The book presents an in-depth look at core concepts, methodological aspects, and advanced feature opportunities, focusing on major real time applications in engineering science and health science. The book will appeal to researchers, data scientists, industry professionals, and graduate students in the fields of fractal graphics and its related applications. - Investigates advanced fractal theories spanning neural networks, fuzzy logic, machine learning, deep learning, and hybrid intelligent systems in solving pattern recognition problems - Explores the application of fractal theories to a wide range of medical image processing modalities - Presents case studies that illustrate the application and integration of fractal theories into intelligent computing in the resolution of important pattern recognition and machine vision problems
Reflexing Interfaces The Complex Coevolution Of Information Technology Ecosystems
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Author : Orsucci, Franco F.
language : en
Publisher: IGI Global
Release Date : 2008-03-31
Reflexing Interfaces The Complex Coevolution Of Information Technology Ecosystems written by Orsucci, Franco F. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-31 with Science categories.
"This book discusses the application of complex theories in information and communication technology, with a focus on the interaction between living systems and information technologies, providing researchers, scholars, and IT professionals with a fundamental resource on such topics as virtual reality; fuzzy logic systems; and complexity science in artificial intelligence, evolutionary computation, neural networks, and 3-D modeling"--Provided by publisher.
Invariant Probabilities Of Transition Functions
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Author : Radu Zaharopol
language : en
Publisher: Springer
Release Date : 2014-06-27
Invariant Probabilities Of Transition Functions written by Radu Zaharopol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-27 with Mathematics categories.
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semiflows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structure of the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizations of the supports of various types of invariant probability measures and the use of these to obtain criteria for unique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will be of interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also find this book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, general topology, measure theory, the Bochner integral and some of its applications.
Iterated Function Systems For Real Time Image Synthesis
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Author : Slawomir Nikiel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-28
Iterated Function Systems For Real Time Image Synthesis written by Slawomir Nikiel 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 2007-05-28 with Computers categories.
Natural phenomena can be visually described with fractal-geometry methods, where iterative procedures rather than equations are used to model objects. With the development of better modelling algorithms, the efficiency of rendering, the realism of computer-generated scenes and the interactivity of visual stimuli are reaching astonishing levels. Iterated Function Systems for Real-Time Image Synthesis gives an explanation of iterated function systems and how to use them in generation of complex objects. Contents include: Discussion of the most popular fractal models applied in the field of image synthesis. Presentation of iterated function system models, including recent developments in IFS representation. Exploration of algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms. Use of practical examples to demonstrate the implementation and application of IFS models. The book contains both a description text and pseudo-code samples for the convenience of graphics application programmers.