Mathematics Of Multilevel Systems Data Scaling Images Signals And Fractals

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Mathematics Of Multilevel Systems: Data, Scaling, Images, Signals, And Fractals

Author : Palle Jorgensen
Publisher : World Scientific
ISBN 13 : 9811269017
Total Pages : 270 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Of Multilevel Systems: Data, Scaling, Images, Signals, And Fractals by : Palle Jorgensen

Download or read book Mathematics Of Multilevel Systems: Data, Scaling, Images, Signals, And Fractals written by Palle Jorgensen and published by World Scientific. This book was released on 2023-05-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals. It also encompasses image compression examples using wavelet transform and includes the principal component analysis which is a hot topic on data dimension reduction in machine learning.Readers will find equal coverage on the following three themes:The book entails a varied choice of diverse interdisciplinary themes. While the topics can be found in various parts of the pure and applied literature, this book fulfills the need for an accessible presentation which cuts across the fields.As the target audience is wide-ranging, a detailed and systematic discussion of issues involving infinite dimensions and Hilbert space is presented in later chapters on wavelets, transform theory and, entropy encoding and probability. For the problems addressed there, the case of infinite dimension will be more natural, and well-motivated.

Scaling, Fractals and Wavelets

Author : Patrice Abry
Publisher : John Wiley & Sons
ISBN 13 : 1118622901
Total Pages : 382 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Scaling, Fractals and Wavelets by : Patrice Abry

Download or read book Scaling, Fractals and Wavelets written by Patrice Abry and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics

Author : David Carfi
Publisher : American Mathematical Soc.
ISBN 13 : 0821891472
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics by : David Carfi

Download or read book Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics written by David Carfi and published by American Mathematical Soc.. This book was released on 2013-10-22 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry (and some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry. The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.

Fractal Geometry in Digital Imaging

Author : Martin J. Turner
Publisher : Academic Press
ISBN 13 : 9780127039701
Total Pages : 352 pages
Book Rating : 4.0/5 (397 download)

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Book Synopsis Fractal Geometry in Digital Imaging by : Martin J. Turner

Download or read book Fractal Geometry in Digital Imaging written by Martin J. Turner and published by Academic Press. This book was released on 1998-06-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the theory and application of fractal geometry in digital imaging. Throughout the book, a series of new approaches to defining fractals are illustrated, such as the analysis of the fractal power spectrum and the use of fractional differentials. Several new algorithms and applications are also discussed and applied to real life images. Fractal Geometry in Digital imaging will appeal to postgraduates, researchers and practitioners in image processing, mathematics and computing, information technology and engineering.

Fractals

Author : DINESH. ARJUNAN KUMAR (SRIDHAR P.. ALIAHMAD, BEHZAD.)
Publisher : CRC Press
ISBN 13 : 9780367782764
Total Pages : 190 pages
Book Rating : 4.7/5 (827 download)

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Book Synopsis Fractals by : DINESH. ARJUNAN KUMAR (SRIDHAR P.. ALIAHMAD, BEHZAD.)

Download or read book Fractals written by DINESH. ARJUNAN KUMAR (SRIDHAR P.. ALIAHMAD, BEHZAD.) and published by CRC Press. This book was released on 2021-03-31 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in relations to fractals and entropy, and the association with health and ageing are also covered. The book provides a detailed description of new techniques on physiological signals and images based on the fractal and chaos theory. The aim of this book is to serve as a comprehensive guide for researchers and readers interested in biomedical signal and image processing and feature extraction for disease risk analyses and rehabilitation applications. While it provides the mathematical rigor for those readers interested in such details, it also describes the topic intuitively such that it is suitable for audience who are interested in applying the methods to healthcare and clinical applications. The book is the outcome of years of research by the authors and is comprehensive and includes other reported outcomes.

Fractals and Scaling in Finance

Author : Benoit B. Mandelbrot
Publisher : Springer
ISBN 13 : 9781441931191
Total Pages : 0 pages
Book Rating : 4.9/5 (311 download)

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Book Synopsis Fractals and Scaling in Finance by : Benoit B. Mandelbrot

Download or read book Fractals and Scaling in Finance written by Benoit B. Mandelbrot and published by Springer. This book was released on 2010-12-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.

Chaos and Fractals in Engineering

Author : Masao Nakagawa
Publisher : World Scientific
ISBN 13 : 9789810238339
Total Pages : 960 pages
Book Rating : 4.2/5 (383 download)

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Book Synopsis Chaos and Fractals in Engineering by : Masao Nakagawa

Download or read book Chaos and Fractals in Engineering written by Masao Nakagawa and published by World Scientific. This book was released on 1999 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.

Fractal Geometry and Applications: Analysis, number theory, and dynamical systems

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Fractal Geometry and Applications: Analysis, number theory, and dynamical systems by : Michel Laurent Lapidus

Download or read book Fractal Geometry and Applications: Analysis, number theory, and dynamical systems written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2004 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Fractals in Multimedia

Author : Michael F. Barnsley
Publisher : Springer
ISBN 13 : 9781441930378
Total Pages : 270 pages
Book Rating : 4.9/5 (33 download)

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Book Synopsis Fractals in Multimedia by : Michael F. Barnsley

Download or read book Fractals in Multimedia written by Michael F. Barnsley and published by Springer. This book was released on 2010-12-06 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Hierarchical, Multilevel, Systems

Author : Mihajlo D. Mesarovic
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (468 download)

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Book Synopsis Theory of Hierarchical, Multilevel, Systems by : Mihajlo D. Mesarovic

Download or read book Theory of Hierarchical, Multilevel, Systems written by Mihajlo D. Mesarovic and published by . This book was released on 1970 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Beauty of Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540158516
Total Pages : 226 pages
Book Rating : 4.1/5 (585 download)

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Book Synopsis The Beauty of Fractals by : Heinz-Otto Peitgen

Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 1986-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Frontiers In Orthogonal Polynomials And Q-series

Author : M Zuhair Nashed
Publisher : World Scientific
ISBN 13 : 981322889X
Total Pages : 577 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Frontiers In Orthogonal Polynomials And Q-series by : M Zuhair Nashed

Download or read book Frontiers In Orthogonal Polynomials And Q-series written by M Zuhair Nashed and published by World Scientific. This book was released on 2018-01-12 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.

Fractals in Biology and Medicine

Author : Gabriele A. Losa
Publisher : Springer Science & Business Media
ISBN 13 : 9783764364748
Total Pages : 382 pages
Book Rating : 4.3/5 (647 download)

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Book Synopsis Fractals in Biology and Medicine by : Gabriele A. Losa

Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Springer Science & Business Media. This book was released on 1994 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.

Analysis and Probability

Author : Palle E. T. Jorgensen
Publisher : Springer Science & Business Media
ISBN 13 : 0387330828
Total Pages : 320 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Analysis and Probability by : Palle E. T. Jorgensen

Download or read book Analysis and Probability written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Space-Filling Curves

Author : Hans Sagan
Publisher : Springer Science & Business Media
ISBN 13 : 1461208718
Total Pages : 200 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Space-Filling Curves by : Hans Sagan

Download or read book Space-Filling Curves written by Hans Sagan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no comprehensive treatment has ever been attempted other than the gallant effort by W. Sierpiriski in 1912. At that time, the subject was still in its infancy and the most interesting and perplexing results were still to come. Besides, Sierpiriski's paper was written in Polish and published in a journal that is not readily accessible (Sierpiriski [2]). Most of the early literature on the subject is in French, German, and Polish, providing an additional raison d'etre for a comprehensive treatment in English. While there was, understandably, some intensive research activity on this subject around the turn of the century, contributions have, nevertheless, continued up to the present and there is no end in sight, indicating that the subject is still very much alive. The recent interest in fractals has refocused interest on space filling curves, and the study of fractals has thrown some new light on this small but venerable part of mathematics. This monograph is neither a textbook nor an encyclopedic treatment of the subject nor a historical account, but it is a little of each. While it may lend structure to a seminar or pro-seminar, or be useful as a supplement in a course on topology or mathematical analysis, it is primarily intended for self-study by the aficionados of classical analysis.

Mathematical Contributions to the Theory of Evolution

Author : Karl Pearson
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Mathematical Contributions to the Theory of Evolution by : Karl Pearson

Download or read book Mathematical Contributions to the Theory of Evolution written by Karl Pearson and published by . This book was released on 1904 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of Algorithmic Music

Author : Alex McLean
Publisher : Oxford University Press
ISBN 13 : 0190227001
Total Pages : 648 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis The Oxford Handbook of Algorithmic Music by : Alex McLean

Download or read book The Oxford Handbook of Algorithmic Music written by Alex McLean and published by Oxford University Press. This book was released on 2018-01-18 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the ongoing development of algorithmic composition programs and communities of practice expanding, algorithmic music faces a turning point. Joining dozens of emerging and established scholars alongside leading practitioners in the field, chapters in this Handbook both describe the state of algorithmic composition and also set the agenda for critical research on and analysis of algorithmic music. Organized into four sections, chapters explore the music's history, utility, community, politics, and potential for mass consumption. Contributors address such issues as the role of algorithms as co-performers, live coding practices, and discussions of the algorithmic culture as it currently exists and what it can potentially contribute society, education, and ecommerce. Chapters engage particularly with post-human perspectives - what new musics are now being found through algorithmic means which humans could not otherwise have made - and, in reciprocation, how algorithmic music is being assimilated back into human culture and what meanings it subsequently takes. Blending technical, artistic, cultural, and scientific viewpoints, this Handbook positions algorithmic music making as an essentially human activity.