superfractals

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Superfractals

Author : Michael Fielding Barnsley
ISBN : 9780521844932
Genre : Computers
File Size : 87. 85 MB
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SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

Iterated Function Systems For Real Time Image Synthesis

Author : Slawomir Nikiel
ISBN : 9781846286865
Genre : Computers
File Size : 70. 81 MB
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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.

Fractals Everywhere

Author : Michael F. Barnsley
ISBN : 9780486320342
Genre : Mathematics
File Size : 64. 31 MB
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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.

Measure Topology And Fractal Geometry

Author : Gerald Edgar
ISBN : 9780387747491
Genre : Mathematics
File Size : 86. 48 MB
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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.

Interpolation And Approximation With Splines And Fractals

Author : Peter Robert Massopust
ISBN : UCSD:31822037437092
Genre : Computers
File Size : 69. 30 MB
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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.

Recent Advances In Fixed Point Theory And Applications

Author : Umesh C. Gairola
ISBN : 1536120855
Genre : Fixed point theory
File Size : 28. 58 MB
Format : PDF
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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.

Fractals Everywhere

Author : Michael F. Barnsley
ISBN : 9780486320342
Genre : Mathematics
File Size : 73. 4 MB
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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.

Mathematics Of Digital Images

Author : S. G. Hoggar
ISBN : 1139451359
Genre : Computers
File Size : 54. 96 MB
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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.

Fractal Image Compression

Author : Michael Fielding Barnsley
ISBN : UOM:39015029201996
Genre : Computers
File Size : 77. 82 MB
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Indra S Pearls

Author : David Mumford
ISBN : 0521352533
Genre : Mathematics
File Size : 76. 87 MB
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Highly illustrated realization of infinitely reflected images related to fractals, chaos and symmetry.

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