SuperFractals

Author: Michael Fielding Barnsley

Publisher: Cambridge University Press

ISBN: 0521844932

Category: Computers

Page: 453

View: 2606

SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
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Iterated Function Systems for Real-Time Image Synthesis

Author: Slawomir Nikiel

Publisher: Springer Science & Business Media

ISBN: 1846286867

Category: Computers

Page: 152

View: 7246

This book offers a comprehensive explanation of iterated function systems and how to use them in generation of complex objects. Discussion covers the most popular fractal models applied in the field of image synthesis; surveys iterated function system models; explores algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms, and more. The book includes both descriptive text and pseudo-code samples for the convenience of graphics application programmers.
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Fractals Everywhere

New Edition

Author: Michael F. Barnsley

Publisher: Courier Corporation

ISBN: 0486320340

Category: Mathematics

Page: 560

View: 3455

Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.
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Measure, Topology, and Fractal Geometry

Author: Gerald Edgar

Publisher: Springer Science & Business Media

ISBN: 0387747494

Category: Mathematics

Page: 272

View: 1851

Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.
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Interpolation and Approximation with Splines and Fractals

Author: Peter Robert Massopust

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Computers

Page: 319

View: 7820

This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of fractals, fractal functions, and fractal surfaces. This synthesis will complement currently required courses dealing with these topics and expose the prospective reader to some new and deep relationships. In addition to providing a classical introduction to the main issues involving approximation and interpolation with uni- and multivariate splines, cardinal and exponential splines, and their connection to wavelets and multiscale analysis, which comprises the first half of the book, the second half will describe fractals, fractal functions and fractal surfaces, and their properties. This also includes the new burgeoning theory of superfractals and superfractal functions. The theory of splines is well-established but the relationship to fractal functions is novel. Throughout the book, connections between these two apparently different areas will be exposed and presented. In this way, more options are given to the prospective reader who will encounter complex approximation and interpolation problems in real-world modeling. Numerous examples, figures, and exercises accompany the material.
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Recent Advances in Fixed Point Theory and Applications

Author: Umesh C. Gairola,Rajendra Pant

Publisher: N.A

ISBN: 9781536120851

Category: Fixed point theory

Page: 315

View: 4804

Fixed point theory is a growing and exciting branch of mathematics with a variety of wide applications in biological and mathematical sciences, proposing newer applications in discrete dynamics and super fractals. The present endeavour is to report the latest trend in metric fixed point theory, emphasising newer applications in numerical analysis, discrete dynamics and fractal graphics, besides traditional applications. The book is useful to a large class of readers interested in analysis, applicable mathematics and fractal graphics. The articles have been selected carefully so that the book is useful for sophomores up to senior researchers looking for new material and new ideas in the existence of fixed points, new applications and survey articles. A few chapters included herein are formal in nature and suggest new directions of research in this area, which are especially useful to beginners in the field. The book is divided into two parts: Part I contains surveys and existence and convergence results. In Part II (Applications), various applications of fixed point theory to initial value problems, local attractivity of certain functional integral equation solutions, fractals and super-fractals, and solving equations in numerical praxis have been discussed. The present book, which is dedicated to Professor Shyam Lal Singh, consists of articles contributed by outstanding workers all over the world. Of course, some of the articles were selected from the Symposium on Fixed Point Theory and Applications (dedicated to him) held during the 19th Annual Conference Of India (10-12 November 2016), organised by Pauri Garhwal of the Department of Mathematics, H N B Garhwal (Central) University.
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Fractals Everywhere

New Edition

Author: Michael F. Barnsley

Publisher: Courier Corporation

ISBN: 0486320340

Category: Mathematics

Page: 560

View: 5636

Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.
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Mathematics of Digital Images

Creation, Compression, Restoration, Recognition

Author: S. G. Hoggar

Publisher: Cambridge University Press

ISBN: 9781139451352

Category: Computers

Page: N.A

View: 9249

Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked examples, exercises with solutions, pseudocode, and sample calculations on images. The introduction lists fast tracks to special topics such as Principal Component Analysis, and ways into and through the book, which abounds with illustrations. The first part describes plane geometry and pattern-generating symmetries, along with some on 3D rotation and reflection matrices. Subsequent chapters cover vectors, matrices and probability. These are applied to simulation, Bayesian methods, Shannon's information theory, compression, filtering and tomography. The book will be suited for advanced courses or for self-study. It will appeal to all those working in biomedical imaging and diagnosis, computer graphics, machine vision, remote sensing, image processing and information theory and its applications.
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Indra's Pearls

The Vision of Felix Klein

Author: David Mumford,Caroline Series,David Wright

Publisher: Cambridge University Press

ISBN: 9780521352536

Category: Mathematics

Page: 395

View: 3439

Highly illustrated realization of infinitely reflected images related to fractals, chaos and symmetry.
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Fractal image compression

Author: Michael Fielding Barnsley,Lyman P. Hurd

Publisher: A K Peters Limited

ISBN: N.A

Category: Computers

Page: 244

View: 3759

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Fractal Imaging

Author: Ning Lu

Publisher: Springer Science & Business

ISBN: 9780124580107

Category: Computers

Page: 412

View: 5158

Fractal image compression technology, one of the major digital image compression techniques, has been a well kept secret for many years. While there are many books written on other technologies, such as DCT/JPEG andwavelet theory, few books touch the subject of fractal image compression. Fractal Imaging presents the logic, technology, and various uses of fractal imaging by analyzing a complete, usable fractal image representation system. This detailed work will be a must for engineers interested in building fractal imaging systems. It will also be of interest to the general public, showing how mathematics once again plays a central role in our lives, where art and science intersect. Included is a CD-ROM containing fractal images and a freeware version of Iterated Systems fractal imaging utility. Key Features * Modeling realistic images * Efficient, fractal image representation and enhancement * Data compression and coding algorithms with Sample C code * 16-page color insert * Includes Fractal Imager Software * Fractal Imager is an award-winning Windows" product that produces Fractal Image Format (FIF) files;This software helps you to create interactive Web page images that download fast and look sharp. * Put interactive images on your Web site * Give great image quality and resolution independent zoomability * Super fast Internet progressive display * More content without taking more space!
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Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas

Author: Janusz Czyz

Publisher: World Scientific

ISBN: 9814506958

Category:

Page: 764

View: 633

In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched. Contents:The Paradox of the SphereInaccessible Numbers and the Hierarchal Structure of Set TheoryThe Hausdorff Measures, Hausdorff Dimensions and FractalsThe Baker-Campbell-Hausdorff FormulaHausdorff MatricesAppendixReferences Readership: Mathematicians, logicians and mathematical physicists. Keywords:Banach-Tarski Paradox;Inaccessible Cardinals;Large Cardinals;Hausdorff Dimension;Fractal;Baker-Campbell-Hausdorff Formula;Lie Superalgebra;Lie Supergroup;Hausdorfd Matrix;Hausdorff Summation;Young-Hausdorff InequalityReview: “Each chapter concludes with an extensive bibliography on the subject. The book should be accessible to mathematicians, pure and applied, as well as to theoretical physicists.” Mathematics Abstracts
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Mathematics and Sex

Author: Clio Cresswell

Publisher: Allen & Unwin

ISBN: 1741151848

Category: Family & Relationships

Page: 192

View: 7004

Dabble in the beauty and wonder of mathematics as it contributes to a variety of fields including literature, biology, economics and of course psychology, where the mathematics of sex plays some unexpected roles.
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Fractal Image Compression

Theory and Application

Author: Yuval Fisher

Publisher: Springer Science & Business Media

ISBN: 1461224721

Category: Mathematics

Page: 342

View: 8817

One half of the book is authored by Yuval Fisher himself, while articles from another 12 experts in the field present material from different points of view. The focus here is solely on fractal image encoding, with the aim of providing a working code that is usable in applications, while containing the complete details of how to encode and decode images. An indispensable "how to" guide, combining the very latest results in the field. Of interest to a very wide audience, ranging from experts in image processing to high school students.
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Geometry

Author: David A. Brannan,Matthew F. Esplen,Jeremy J. Gray

Publisher: Cambridge University Press

ISBN: 1139503707

Category: Mathematics

Page: 602

View: 7159

This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.
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Physically Based Rendering

From Theory to Implementation

Author: Matt Pharr,Wenzel Jakob,Greg Humphreys

Publisher: Morgan Kaufmann

ISBN: 0128007095

Category: Computers

Page: 1266

View: 3753

Physically Based Rendering: From Theory to Implementation, Third Edition, describes both the mathematical theory behind a modern photorealistic rendering system and its practical implementation. Through a method known as 'literate programming', the authors combine human-readable documentation and source code into a single reference that is specifically designed to aid comprehension. The result is a stunning achievement in graphics education. Through the ideas and software in this book, users will learn to design and employ a fully-featured rendering system for creating stunning imagery. This completely updated and revised edition includes new coverage on ray-tracing hair and curves primitives, numerical precision issues with ray tracing, LBVHs, realistic camera models, the measurement equation, and much more. It is a must-have, full color resource on physically-based rendering. Presents up-to-date revisions of the seminal reference on rendering, including new sections on bidirectional path tracing, numerical robustness issues in ray tracing, realistic camera models, and subsurface scattering Provides the source code for a complete rendering system allowing readers to get up and running fast Includes a unique indexing feature, literate programming, that lists the locations of each function, variable, and method on the page where they are first described Serves as an essential resource on physically-based rendering
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The American Mathematical Monthly

The Official Journal of the Mathematical Association of America

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematicians

Page: N.A

View: 2508

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Probability on Trees and Networks

Author: Russell Lyons,Yuval Peres

Publisher: Cambridge University Press

ISBN: 1316785335

Category: Mathematics

Page: N.A

View: 1751

Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
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Control, Computation and Information Systems

First International Conference on Logic, Information, Control and Computation, ICLICC 2011, Gandhigram, India, February 25-27, 2011, Proceedings

Author: P. Balasubramaniam

Publisher: Springer

ISBN: 3642192637

Category: Computers

Page: 328

View: 9974

This book constitutes the refereed proceedings of the International Conference on Logic, Information, Control and Computation, ICLICC 2011, held in Gandhigram, India, in February 2011. The 52 revised full papers presented were carefully reviewed and selected from 278 submissions. The papers are organized in topical sections on control theory and its real time applications, computational mathematics and its application to various fields, and information sciences focusing on image processing and neural networks.
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Arabic Geometrical Pattern and Design

Author: J. Bourgoin

Publisher: Courier Corporation

ISBN: 0486155315

Category: Design

Page: 204

View: 4301

Nearly 200 examples exhibit the wide range of Islamic art, including hexagon and octagon designs, combinations of stars and rosettes, and many variations on other geometric patterns.
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