Lindenmayer Systems  Fractals  and Plants Book

Lindenmayer Systems Fractals and Plants


  • Author : Przemyslaw Prusinkiewicz
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Genre: Mathematics
  • Pages : 122
  • ISBN 10 : 9781475714289

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Lindenmayer Systems Fractals and Plants Excerpt :

1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: • Can 1-systems be used as a realistic model of plant species found in nature? • Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

L System Fractals Book

L System Fractals


  • Author : Jibitesh Mishra
  • Publisher : Elsevier
  • Release Date : 2007-01-08
  • Genre: Mathematics
  • Pages : 274
  • ISBN 10 : 0080469388

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L System Fractals Excerpt :

L-System Fractals covers all the fundamental aspects of generating fractals through L-system. Also it provides insight to various researches in this area for generating fractals through L-system approach & estimating dimensions. Also it discusses various applications of L-system fractals. Fractals generated from L-System including hybrid fractals Dimension calculation for L-system fractals Images and codes for L-system fractals Research directions in the area of L-system fractals Usage of various freely downloadable tools in this area

The Nature of Code Book
Score: 5
From 1 Ratings

The Nature of Code


  • Author : Daniel Shiffman
  • Publisher : Nature of Code
  • Release Date : 2012
  • Genre: Computer programming
  • Pages : 498
  • ISBN 10 : 0985930802

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The Nature of Code Excerpt :

How can we capture the unpredictable evolutionary and emergent properties of nature in software? How can understanding the mathematical principles behind our physical world help us to create digital worlds? This book focuses on a range of programming strategies and techniques behind computer simulations of natural systems, from elementary concepts in mathematics and physics to more advanced algorithms that enable sophisticated visual results. Readers will progress from building a basic physics engine to creating intelligent moving objects and complex systems, setting the foundation for further experiments in generative design. Subjects covered include forces, trigonometry, fractals, cellular automata, self-organization, and genetic algorithms. The book's examples are written in Processing, an open-source language and development environment built on top of the Java programming language. On the book's website (http: //www.natureofcode.com), the examples run in the browser via Processing's JavaScript mode.

The Algorithmic Beauty of Plants Book

The Algorithmic Beauty of Plants


  • Author : Przemyslaw Prusinkiewicz
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Computers
  • Pages : 228
  • ISBN 10 : 9781461384762

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The Algorithmic Beauty of Plants Excerpt :

Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the computer simulation of plant development. 150 illustrations, one third of them in colour, vividly demonstrate the spectacular results of the algorithms used to model plant shapes and developmental processes. The latest in computer-generated images allow us to look at plants growing, self-replicating, responding to external factors and even mutating, without becoming entangled in the underlying mathematical formulae involved. The authors place particular emphasis on Lindenmayer systems - a notion conceived by one of the authors, Aristid Lindenmayer, and internationally recognised for its exceptional elegance in modelling biological phenomena. Nonetheless, the two authors take great care to present a survey of alternative methods for plant modelling.

L Systems Book

L Systems


  • Author : G. Rozenberg
  • Publisher : Springer
  • Release Date : 2014-03-12
  • Genre: Computers
  • Pages : 340
  • ISBN 10 : 3662209659

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L Systems Excerpt :

Profiles EM Systems, a software house servicing the transport and distribution industries. Features the Transport and Distribution Package (TRUST II), a transport management package written in ORACLE. Includes information on the property management system, ORACLE analysis and programming, and MS-Access analysis and programming. Posts an online inquiry and comments form.

Chaos and Fractals Book

Chaos and Fractals


  • Author : Heinz-Otto Peitgen
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Mathematics
  • Pages : 999
  • ISBN 10 : 9781475747409

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Chaos and Fractals Excerpt :

For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Application of Fractals in Earth Sciences Book

Application of Fractals in Earth Sciences


  • Author : V.P. Dimri
  • Publisher : CRC Press
  • Release Date : 2000-01-01
  • Genre: Science
  • Pages : 248
  • ISBN 10 : 9054102845

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Application of Fractals in Earth Sciences Excerpt :

This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.

Chaos  Noise and Fractals Book

Chaos Noise and Fractals


  • Author : E. Roy Pike
  • Publisher : CRC Press
  • Release Date : 1987-01-01
  • Genre: Science
  • Pages : 282
  • ISBN 10 : 0852743645

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Chaos Noise and Fractals Excerpt :

The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.

Fractals and Disordered Systems Book

Fractals and Disordered Systems


  • Author : Armin Bunde
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Science
  • Pages : 350
  • ISBN 10 : 9783642514357

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Fractals and Disordered Systems Excerpt :

Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Chaos and Fractals Book

Chaos and Fractals


  • Author : C.A. Pickover
  • Publisher : Elsevier
  • Release Date : 1998-08-03
  • Genre: Computers
  • Pages : 452
  • ISBN 10 : 0080528864

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Chaos and Fractals Excerpt :

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.

Graph Grammars and Their Application to Computer Science Book

Graph Grammars and Their Application to Computer Science


  • Author : Hartmut Ehrig
  • Publisher : Springer Science & Business Media
  • Release Date : 1987-12-17
  • Genre: Computers
  • Pages : 626
  • ISBN 10 : 3540187715

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Graph Grammars and Their Application to Computer Science Excerpt :

The generic term "graph-grammars" refers to a variety of methods for specifying (possibly infinite) sets of graphs or sets of maps. The area of graph-grammars originated in the late 60s motivated by considerations concerning pattern recognition - since then the list of areas which have interacted with the development of graph-grammars has grown quite impressively. It includes pattern recognition, software specification and development, VLSI layout schemes, data bases, lambda-calculus, analysis of concurrent systems, massively parallel computer architectures, incremental compilers, computer animation, complexity theory, developmental biology, music composition, representation of physical solids, and many others. This volume is based on the contributions presented at the third international workshop on graph-grammars and their applications, held in Warrenton, Virginia, USA in December 1986. Aiming at the best possible representation of the field not all of the papers presented at the meeting appear in this volume and some of the papers from this volume were not presented at the workshop. The volume consists of two parts: Part I presents tutorial introductions to a number of basic graph and map rewriting mechanisms. Part II contains technical contributions. This collection of papers provides the reader with an up-to-date overview of current trends in graph-grammars.

Analysis for Computer Scientists Book

Analysis for Computer Scientists


  • Author : Michael Oberguggenberger
  • Publisher : Springer
  • Release Date : 2018-11-06
  • Genre: Computers
  • Pages : 378
  • ISBN 10 : 3319911546

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Analysis for Computer Scientists Excerpt :

This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises. Topics and features: describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); contains experiments, exercises, definitions, and propositions throughout the text; supplies programming examples in Python, in addition to MATLAB (NEW); provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material. Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills.

Fractal Geometry in Biological Systems Book

Fractal Geometry in Biological Systems


  • Author : Philip M. Iannaccone
  • Publisher : CRC Press
  • Release Date : 1996-07-25
  • Genre: Science
  • Pages : 384
  • ISBN 10 : 084937636X

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Fractal Geometry in Biological Systems Excerpt :

Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

The Science of Fractal Images Book

The Science of Fractal Images


  • Author : Heinz-Otto Peitgen
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 312
  • ISBN 10 : 9781461237846

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The Science of Fractal Images Excerpt :

This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

Fractal Surfaces Book

Fractal Surfaces


  • Author : John C. Russ
  • Publisher : Springer Science & Business Media
  • Release Date : 1994-02-28
  • Genre: Science
  • Pages : 328
  • ISBN 10 : 0306447029

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Fractal Surfaces Excerpt :

The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.