L System Fractals

L System Fractals
Author: Jibitesh Mishra,Sarojananda Mishra
Publsiher: Elsevier
Total Pages: 274
Release: 2007-01-08
ISBN 10: 9780080469386
ISBN 13: 0080469388
Language: EN, FR, DE, ES & NL

L System Fractals Book Review:

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

Lindenmayer Systems Fractals and Plants

Lindenmayer Systems  Fractals  and Plants
Author: Przemyslaw Prusinkiewicz,James Hanan
Publsiher: Springer Science & Business Media
Total Pages: 122
Release: 2013-11-11
ISBN 10: 1475714289
ISBN 13: 9781475714289
Language: EN, FR, DE, ES & NL

Lindenmayer Systems Fractals and Plants Book Review:

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.

The Algorithmic Beauty of Plants

The Algorithmic Beauty of Plants
Author: Przemyslaw Prusinkiewicz,Aristid Lindenmayer
Publsiher: Springer Science & Business Media
Total Pages: 228
Release: 2012-12-06
ISBN 10: 1461384761
ISBN 13: 9781461384762
Language: EN, FR, DE, ES & NL

The Algorithmic Beauty of Plants Book Review:

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.

The Nature of Code

The Nature of Code
Author: Daniel Shiffman
Publsiher: Nature of Code
Total Pages: 498
Release: 2012
ISBN 10: 9780985930806
ISBN 13: 0985930802
Language: EN, FR, DE, ES & NL

The Nature of Code Book Review:

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.

Mazes for Programmers

Mazes for Programmers
Author: Jamis Buck
Publsiher: Pragmatic Bookshelf
Total Pages: 286
Release: 2015-07-15
ISBN 10: 1680503960
ISBN 13: 9781680503968
Language: EN, FR, DE, ES & NL

Mazes for Programmers Book Review:

Unlock the secrets to creating random mazes! Whether you're a game developer, an algorithm connoisseur, or simply in search of a new puzzle, you're about to level up. Learn algorithms to randomly generate mazes in a variety of shapes, sizes, and dimensions. Bend them into Moebius strips, fold them into cubes, and wrap them around spheres. Stretch them into other dimensions, squeeze them into arbitrary outlines, and tile them in a dizzying variety of ways. From twelve little algorithms, you'll discover a vast reservoir of ideas and inspiration. From video games to movies, mazes are ubiquitous. Explore a dozen algorithms for generating these puzzles randomly, from Binary Tree to Eller's, each copiously illustrated and accompanied by working implementations in Ruby. You'll learn their pros and cons, and how to choose the right one for the job. You'll start by learning six maze algorithms and transition from making mazes on paper to writing programs that generate and draw them. You'll be introduced to Dijkstra's algorithm and see how it can help solve, analyze, and visualize mazes. Part 2 shows you how to constrain your mazes to different shapes and outlines, such as text, circles, hex and triangle grids, and more. You'll learn techniques for culling dead-ends, and for making your passages weave over and under each other. Part 3 looks at six more algorithms, taking it all to the next level. You'll learn how to build your mazes in multiple dimensions, and even on curved surfaces. Through it all, you'll discover yourself brimming with ideas, the best medicine for programmer's block, burn-out, and the grayest of days. By the time you're done, you'll be energized and full of maze-related possibilities! What You Need: The example code requires version 2 of the Ruby programming language. Some examples depend on the ChunkyPNG library to generate PNG images, and one chapter uses POV-Ray version 3.7 to render 3D graphics.

Lindenmayer Systems Fractals and Plants

Lindenmayer Systems  Fractals  and Plants
Author: Przemyslaw Prusinkiewicz,James Hanan
Publsiher: Springer Science & Business Media
Total Pages: 122
Release: 2013-11-11
ISBN 10: 1475714289
ISBN 13: 9781475714289
Language: EN, FR, DE, ES & NL

Lindenmayer Systems Fractals and Plants Book Review:

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 Systems

L Systems
Author: G. Rozenberg,A. Salomaa
Publsiher: Springer
Total Pages: 340
Release: 2014-03-12
ISBN 10: 9783662209653
ISBN 13: 3662209659
Language: EN, FR, DE, ES & NL

L Systems Book Review:

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.

The Beauty of Fractals

The Beauty of Fractals
Author: Heinz-Otto Peitgen,Peter H. Richter
Publsiher: Springer Science & Business Media
Total Pages: 202
Release: 2013-12-01
ISBN 10: 3642617174
ISBN 13: 9783642617171
Language: EN, FR, DE, ES & NL

The Beauty of Fractals Book Review:

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.

Analysis for Computer Scientists

Analysis for Computer Scientists
Author: Michael Oberguggenberger,Alexander Ostermann
Publsiher: Springer
Total Pages: 378
Release: 2018-10-24
ISBN 10: 3319911554
ISBN 13: 9783319911557
Language: EN, FR, DE, ES & NL

Analysis for Computer Scientists Book Review:

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.

Fractals and Dynamic Systems in Geoscience

Fractals and Dynamic Systems in Geoscience
Author: Jörn H. Kruhl
Publsiher: Springer Science & Business Media
Total Pages: 421
Release: 2013-06-29
ISBN 10: 3662073048
ISBN 13: 9783662073049
Language: EN, FR, DE, ES & NL

Fractals and Dynamic Systems in Geoscience Book Review:

Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.

Mathematics of Fractals

Mathematics of Fractals
Author: Masaya Yamaguchi,Masayoshi Hata,Jun Kigami
Publsiher: American Mathematical Soc.
Total Pages: 78
Release: 1997
ISBN 10: 9780821805374
ISBN 13: 0821805371
Language: EN, FR, DE, ES & NL

Mathematics of Fractals Book Review:

This book aims at providing a handy explanation of the notions behind the self-similar sets called fractals and chaotic dynamical systems. The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.

Application of Fractals in Earth Sciences

Application of Fractals in Earth Sciences
Author: V.P. Dimri
Publsiher: CRC Press
Total Pages: 248
Release: 2000-01-01
ISBN 10: 9789054102847
ISBN 13: 9054102845
Language: EN, FR, DE, ES & NL

Application of Fractals in Earth Sciences Book Review:

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.

The Fractal Geometry of the Brain

The Fractal Geometry of the Brain
Author: Antonio Di Ieva
Publsiher: Springer
Total Pages: 585
Release: 2016-08-03
ISBN 10: 1493939955
ISBN 13: 9781493939954
Language: EN, FR, DE, ES & NL

The Fractal Geometry of the Brain Book Review:

Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

Visual Computing for Cultural Heritage

Visual Computing for Cultural Heritage
Author: Fotis Liarokapis,Athanasios Voulodimos,Nikolaos Doulamis,Anastasios Doulamis
Publsiher: Springer Nature
Total Pages: 444
Release: 2020-04-07
ISBN 10: 3030371913
ISBN 13: 9783030371913
Language: EN, FR, DE, ES & NL

Visual Computing for Cultural Heritage Book Review:

This book provides insights into the state of the art of digital cultural heritage using computer graphics, image processing, computer vision, visualization and reconstruction, virtual and augmented reality and serious games. It aims at covering the emergent approaches for digitization and preservation of Cultural Heritage, both in its tangible and intangible facets. Advancements in Digital Cultural Heritage research have been abundant in recent years covering a wide assortment of topics, ranging from visual data acquisition, pre-processing, classification, analysis and synthesis, 3D modelling and reconstruction, semantics and symbolic representation, metadata description, repository and archiving, to new forms of interactive and personalized presentation, visualization and immersive experience provision via advanced computer graphics, interactive virtual and augmented environments, serious games and digital storytelling. Different aspects pertaining to visual computing with regard to tangible (books, images, paintings, manuscripts, uniforms, maps, artefacts, archaeological sites, monuments) and intangible (e.g. dance and performing arts, folklore, theatrical performances) cultural heritage preservation, documentation, protection and promotion are covered, including rendering and procedural modelling of cultural heritage assets, keyword spotting in old documents, drone mapping and airborne photogrammetry, underwater recording and reconstruction, gamification, visitor engagement, animated storytelling, analysis of choreographic patterns, and many more. The book brings together and targets researchers from the domains of computing, engineering, archaeology and the arts, and aims at underscoring the potential for cross-fertilization and collaboration among these communities.

Fractal Analysis

Fractal Analysis
Author: Fernando Brambila
Publsiher: BoD – Books on Demand
Total Pages: 226
Release: 2017-07-26
ISBN 10: 953513213X
ISBN 13: 9789535132134
Language: EN, FR, DE, ES & NL

Fractal Analysis Book Review:

Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book. Here we present the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and humanities. Part 1 is Health Science. In it, we present the latest advances in cardiovascular signs, kidney images to determine cancer growth, EEG signals, magnetoencephalography signals, and photosensitive epilepsy. We show how it is possible to produce ultrasonic lenses or even sound focusing. In Part 2, we present the use of fractal analysis in social sciences and humanities. It includes anthropology, hierarchical scaling, human settlements, language, fractal dimension of different cultures, cultural traits, and Mesoamerican complexity. And in Part 3, we present a few useful tools for fractal analysis, such as graphs and correlation, self-affine and self-similar graphs, and correlation function. It is impossible to picture today's research without fractal geometry.

Brainfilling Curves A Fractal Bestiary

Brainfilling Curves   A Fractal Bestiary
Author: Jeffrey Ventrella
Publsiher: Lulu.com
Total Pages: 206
Release: 2012-03-01
ISBN 10: 0983054622
ISBN 13: 9780983054627
Language: EN, FR, DE, ES & NL

Brainfilling Curves A Fractal Bestiary Book Review:

* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color images * An in-depth taxonomy of Koch-constructed Fractal Curves * An intuitive introduction to Koch construction * A must-read for anyone interested in fractal geometry

The Fractal Geometry of Nature

The Fractal Geometry of Nature
Author: Benoit B. Mandelbrot
Publsiher: Times Books
Total Pages: 468
Release: 1983
ISBN 10:
ISBN 13: UOM:49015000732793
Language: EN, FR, DE, ES & NL

The Fractal Geometry of Nature Book Review:

Three classic fractals, tamed. Galaxies and eddies. Scaling fractals. Nonscaling fractals. Self-mapping fractals. Randomness. Stratified random fractals. Fractional brown fractals. A book-within-the-book, in color. Random tremas; texture. Miscellany. Of men and ideas.

Fractals in Biology and Medicine

Fractals in Biology and Medicine
Author: Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel
Publsiher: Springer Science & Business Media
Total Pages: 314
Release: 2005-08-18
ISBN 10: 9783764371722
ISBN 13: 3764371722
Language: EN, FR, DE, ES & NL

Fractals in Biology and Medicine Book Review:

This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions.

Fractal Concepts in Surface Growth

Fractal Concepts in Surface Growth
Author: A.- L. Barabási,Albert-L.ászl.ó Barabási,H. E. Stanley
Publsiher: Cambridge University Press
Total Pages: 366
Release: 1995-04-13
ISBN 10: 9780521483186
ISBN 13: 0521483182
Language: EN, FR, DE, ES & NL

Fractal Concepts in Surface Growth Book Review:

This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Mathematics and Technology

Mathematics and Technology
Author: Gilles Aldon,Fernando Hitt,Luciana Bazzini,Uwe Gellert
Publsiher: Springer
Total Pages: 693
Release: 2017-04-05
ISBN 10: 331951380X
ISBN 13: 9783319513805
Language: EN, FR, DE, ES & NL

Mathematics and Technology Book Review:

This volume collects most recent work on the role of technology in mathematics education. It offers fresh insight and understanding of the many ways in which technological resources can improve the teaching and learning of mathematics. The first section of the volume focuses on the question how a proposed mathematical task in a technological environment can influence the acquisition of knowledge and what elements are important to retain in the design of mathematical tasks in computing environments. The use of white smart boards, platforms as Moodle, tablets and smartphones have transformed the way we communicate both inside and outside the mathematics classroom. Therefore the second section discussed how to make efficient use of these resources in the classroom and beyond. The third section addresses how technology modifies the way information is transmitted and how mathematical education has to take into account the new ways of learning through connected networks as well as new ways of teaching. The last section is on the training of teachers in the digital era. The editors of this volume have selected papers from the proceedings of the 65th, 66th and 67th CIEAEM conference, and invited the correspondent authors to contribute to this volume by discussing one of the four important topics. The book continues a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Étude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.