L-System fractals (Record no. 39264)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 07087 a2200181 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444528322 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 006.37 |
| Item number | MIS |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Mishra, J. |
| 245 ## - TITLE STATEMENT | |
| Title | L-System fractals |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | Elsevier |
| Place of publication, distribution, etc | Amsterdam |
| Date of publication, distribution, etc | 2007 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii,258,ip. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Mathematics in science and engineering Ed. by C. K. Chui |
| Volume number/sequential designation | Vol.209 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | content<br/>Preface v<br/>Contents ix<br/>1 Introduction to Fractals 1<br/>1.1 Overview of fractals 2<br/>1.2 Fractals vs. Computer Graphics 2<br/>1.2.1 Chaotic Systems 3<br/>1.2.2 Strange Attractor 5<br/>1.2.3 Newton Raphson 7<br/>1.3 Fractal Geometry 8<br/>1.4 Categories of Fractals 12<br/>1.4.1 Geometrical fractals 12<br/>1.4.2 Algebraic fractals 13<br/>1.4.3 Stochastic fractals 15<br/>1.5 Fractals and Non-fractal Objects. 15<br/>1.5.1 The sizes of the features of the fractal and<br/>non-fractal objects 16<br/>1.5.2 The four measure properties of fractal. 17<br/>1.6 Defining a fractal. 18<br/>1.6.1 Definitions of related terms... 18<br/>1.6.2 Definition of fractal 19<br/>1.7 Applications for Fractals 19<br/>1.8 Summary 21<br/>2 Fractals and L-System 23<br/>2.1 Reviews on L-system 23<br/>2.2 Parallel grammars: A phenomenon 26<br/>2.3 L-Systems 27<br/>2.3.1 DOL-system 27<br/>2.3.2 Fractals and graphic interpretation of strings 28<br/>2.3.3 Bracketed L-systems and models of plants architecture.. 30<br/>2.3.4 L-systems and Genetic Algorithms 31<br/>2.4 Basic definitions of L-Systems 31<br/>2.4.1 Fibonacci L-system 32<br/>2.4.2 Types of L-systems 33<br/>2.4.3 Thue-Morse L-system 35<br/>2.4.4 Paper folding and the Dragon curve 36<br/>2.5 Turtle graphics and L-systems 39<br/>2.5.1 Branching and bracketed L-systems 41<br/>2.5.2 Famous L-systems of mathematical history. 43<br/>2.5.3 Self-similarity and scaling 45<br/>2.6 Summary 47<br/>3 Interactive Generation of Fractal Images 49<br/>3.1 IPS and Fractals 49<br/>3.2 Generation of Fractals 50<br/>3.2.1 Multi Lens Copy Machine 51<br/>3.3 Computer Implementation 55<br/>3.3.1 The Random Algorithm 55<br/>3.4 Designing Fractals 56<br/>3.4.1 How does the program work 58<br/>3.5 Software Package 60<br/>3.5.1 Background 60<br/>3.5.2 Computer Implementation 61<br/>3.5.3 Sample Output 61<br/>3.6 Mathematical Expression of IFS 67<br/>3.6.1 RIFS 68<br/>3.6.2 Modified MRCM 69<br/>3.7 Summary 70<br/>4 Generation of a Class of Hybrid Fractals 71<br/>4.1 Background 71<br/>4.1.1 Parallel grammar: A critical review 71<br/>4.1.2 Rules for biological phenomenon 74<br/>4.1.3 Some definitions and examples 76<br/>4.1.4 Applications of L-System 78<br/>4.1.5 Turtle graphics vs L-System 79<br/>4.1.6 Generation of fractal figures 79<br/>4.1.7 About L-System 81<br/>4.1.8 An L-system example 81<br/>4.1.9 Representing mathematical sequence in L-System 82<br/>4.2 The Approach 84<br/>4.2.1 Assumptions 84<br/>4.2.2 Combination of L-Systems 86<br/>4.2.3 The new L-System or the Hybrid L-System 87<br/>4.2.4 The Algorithm 88<br/>4.3 Experimentally Generated Fractals 89<br/>4.3.1 Fractal figures for Fibonacci sequence and Koch curve 89<br/>4.3.2 Fractal figures for Mathematical series 1 to n and Koch<br/>curve 90<br/>4.3.3 Fractal figures based on different combinations 92<br/>4.4 Variation on Koch Curves 93<br/>4.5 Fractals with other Mathematical Sequences 95<br/>4.6 Interpretation of Result 99<br/>4.6.1 Comparison of Koch curve with Hybrid system 99<br/>4.6.2 Arbitrary Figures 102<br/>4.7 Summary 104<br/>5 L-System Strings from Ramification Matrix 105<br/>5.1 Definition of Terms 105<br/>5.1.1 Modules 105<br/>5.1.2 Productions 106<br/>5.2 Parallel Rewriting Systems 106<br/>5.3 An Elementary L-System Parser 107<br/>5.3.1 The structure of an L-System module 107<br/>5.3.2 L-System strings 107<br/>5.3.3 Rewriting the L-System string 107<br/>5.4 Generating The Tree 108<br/>5.4.1 Parsing the L-System 108<br/>5.5 Advantages and Disadvantages of L-Systems 109<br/>5.6 Ramification Matrices 109<br/>5.6.1 Compiling a matrix 109<br/>5.6.2 Ramification matrix for basic branching scheme 109<br/>5.6.3 Generation of L-system string from the ramification<br/>matrix 112<br/>5.6.4 Normalisation of the matrix 113<br/>5.7 Fractal Figures Using The Grammar 113<br/>5.8 Summary 114<br/>6 3D Modeling of Realistic Plants 117<br/>6.1 Related Work 118<br/>6.1. IDOL-systems 118<br/>6.1.2 Edge Rewriting vs. Node Rewriting 119<br/>6.1.3 Stochastic L-Systems 121<br/>6.1.4 Context-sensitive L-system 121<br/>6.1.5 Branching structures 122<br/>6.1.6 Parametric L-Systems 122<br/>6.2 Key Factors 123<br/>6.2.1 Practicality 123<br/>6.2.2 Realism 124<br/>6.2.3 Rendering speed 124<br/>6.3 Component Modeling 124<br/>6.3.1 Practicality 125<br/>6.3.2 Realism 126<br/>6.3.3 Real-time Rendering 126<br/>6.4 An Object-Oriented Approach To Modeling 127<br/>6.4.1 Stem Component 129<br/>6.4.2 Leaf Component 132<br/>6.4.3 Tree Component 134<br/>6.4.4 Radial Component 136<br/>6.5 Other Tree Modeling 137<br/>6.5.1 Tree Growth Visualisation 137<br/>6.5.2 Adaptive L-system 140<br/>6.5.3 DOL System with 3D Structure 140<br/>6.5.4 Environment Interactive 142<br/>6.6 Summary 148<br/>7 Fractal Dimension 149<br/>7.1 Self Similar Fractals 149<br/>7.1.1 Fractals and Self-similarity 150<br/>7.1.2 Length of the coast of Iceland 151<br/>7.2 Extending To Fractal Surfaces 152<br/>7.2.1 Mandelbrot's formula 152<br/>7.2.2 Casey's Classification 153<br/>7.2.3 Pentland's Method 154<br/>7.3 Various Methods Of Fractal Dimension Calculation 155<br/>7.3.1 Reticular cell counting method 155<br/>7.3.2 Keller's Approach 156<br/>7.3.3 Differential Box-Counting Method 157<br/>7.4 Bound of the box size 158<br/>7.4.1 Keller's Correction 158<br/>7.4.2 Fractional Box-Counting Method 159<br/>7.4.3 Mishra's Bounds 160<br/>7.5 Multifractals 160<br/>7.5.1 Multifractal Point Patterns 161<br/>7.5.2 Multifractal Calculations on Generalized<br/>Sierpinski Triangles 162<br/>7.6 Fractal dimension from the L-System 163<br/>7.6.1 Fractal dimension of hybrid fractals from L-System 164<br/>7.7 Summary 165<br/><br/><br/>8 Research Directions of L-Systems 167<br/>8.1 L-Systems on Data Base Management Systems 167<br/>8.1.1 Retrieval, Indexing & storage 168<br/>8.1.2 Queries 169<br/>8.1.3 Text Summarization 170<br/>8.1.4 Language, Semantics and Relevancy 170<br/>8.1.5 Latent Semantics & Reduction Techniques 172<br/>8.1.6 Datamining 172<br/>8.2 Parsers, Compilers 174<br/>8.3 Web Links 175<br/>8.4 Tools 176<br/>8.5 Recent field of Applications of L-Systems 177<br/>8.5.1 Indexing and Data Mining in Multimedia Databases 178<br/>8.5.2 L-Systems and Fractal Growth 178<br/>8.5.3 Cellular Automata 178<br/>8.5.4 Autonomous Agents 178<br/>8.5.5 Explore Individual Differences in Handwriting 179<br/>8.6 Classifiers, IPS and L-Systems 179<br/>8.6.1 Iterated Function Systems (IFS 179<br/>8.6.2 Lindenmeyer Systems (L-Systems 180<br/>8.6.3 Schemas 180<br/>8.6.4 Classifier Systems (CS 181<br/>8.6.5 Reinforcement Learning (RL 181<br/>8.6.6 LCS Learning Classifier Systems 182<br/>8.6.7 Extended Classifier Systems 182<br/>8.6.8 Finite State Machines (FSM 183<br/>8.6.9 Constrained Generating Procedures (CGP 183<br/>8.7 In the field of Animation 184<br/>8.8 Some important research abstracts 194<br/>8.9 Research Proposal on L-System 217<br/>8.10 Summary 218<br/>Bibliography 219<br/>Appendix-A 227<br/>Appendix-B 241<br/>Appendix-C 245<br/>Colour Section 247<br/>Index 257<br/><br/> |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mishra, S. N. |
| 890 ## - Country | |
| Country | USA |
| 891 ## - Topic | |
| Topic | FA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Withdrawn status | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last borrowed | Cost, replacement price | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Faculty of Architecture | CEPT Library | CEPT Library | 16/10/2014 | Baroda Book Corporation | 8222.36 | 13 | 13 | 006.37 MIS | 012523 | 23/08/2023 | 12/08/2023 | 10609.50 | 09/05/2014 | Book | Bill No. c-7394 Dt.30/04/2014 $165.00 |