Pang, Wenjun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 83-88). / Abstracts in English and Chinese. / ACKNOWLEDGEMENTS --- p.ii / ABSTRACT --- p.iv / 摘要 --- p.v / CONTENTS --- p.vi / List of Tables --- p.viii / List of Figures --- p.ix / Chapter 1. --- INTRODUCTION --- p.1 / Chapter 1.1 --- Recent research work --- p.4 / Chapter 1.2 --- Objectives --- p.8 / Chapter 1.3 --- Thesis Organization --- p.10 / Chapter 2. --- FRACTAL MODELING --- p.12 / Chapter 2.1 --- Fractal and Fractal Art --- p.12 / Chapter 2.2 --- Fractal Geometry --- p.15 / Chapter 2.3 --- Construction of Fractals --- p.21 / Chapter 2.4 --- Fractal Measurement and Aesthetics --- p.27 / Chapter 3. --- OVERVIEW OF EVOLUTIONARY DESIGN --- p.30 / Chapter 3.1 --- Initialization --- p.33 / Chapter 3.2 --- Selection --- p.33 / Chapter 3.3 --- Reproduction --- p.34 / Chapter 3.4 --- Termination --- p.36 / Chapter 4. --- EVOLUTIONARY 3D FRACTAL MODELING --- p.38 / Chapter 4.1 --- Fractal Construction --- p.38 / Chapter 4.1.1 --- Self-similar Condition of Fractal --- p.38 / Chapter 4.1.2 --- Fractal Transformation (FT) IFS Formulation --- p.39 / Chapter 4.1.3 --- IFS Genotype and Phenotype Expression --- p.41 / Chapter 4.2 --- Evolutionary Algorithm --- p.43 / Chapter 4.2.1 --- Single-point Crossover --- p.45 / Chapter 4.2.2 --- Arithmetic Gaussian mutation --- p.45 / Chapter 4.2.3 --- Inferior Elimination --- p.46 / Chapter 4.3 --- Interactive Fine-tuning using FT IFS --- p.46 / Chapter 4.4 --- Gaussian Fitness Function --- p.48 / Chapter 5. --- GAUSSIAN AESTHETIC FITNESS FUNCTION --- p.49 / Chapter 5.1 --- Fitness Considerations --- p.50 / Chapter 5.2 --- Fitness Function Formulation --- p.53 / Chapter 5.3 --- Results and Discussion on Fitness Function --- p.55 / Chapter 6. --- EXPERIMENT RESULTS and DISCUSSION --- p.59 / Chapter 6.1 --- Experiment of Evolutionary Generation --- p.59 / Chapter 6.2 --- Comparison on Different Methods --- p.60 / Chapter 7. --- 3D FRACTALS RENDERING and APPLICATION --- p.62 / Chapter 7.1 --- Transforming Property and User Modification --- p.62 / Chapter 7.2 --- Visualization and Rendering of 3D Fractals --- p.66 / Chapter 7.3 --- Applications in Design --- p.74 / Chapter 8. --- CONCLUSIONS and FUTURE WORK --- p.81 / Chapter 8.1 --- Conclusions --- p.81 / Chapter 8.2 --- Future Work --- p.81 / BIBLIOGRAPHY --- p.83 / Appendix --- p.89 / Marching Cubes Method --- p.89
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326757 |
| Date | January 2009 |
| Contributors | Pang, Wenjun., Chinese University of Hong Kong Graduate School. Division of Mechanical and Automation Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, x, 90 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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