A Study on the Generation of Fractal Patterns
| Autor: | Chung-Yuan Chen, 陳宗源 |
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| Rok vydání: | 2010 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 98 Application of fractal geometry theory, fractal patterns can get some special lines, shapes and colors. Comparison of fractal pattern and the traditional pattern, fractal pattern is a kind of the arts with mathematical characteristics. In this thesis, based on the Mandelbrot set and Julia set theory, the generation of fractal patterns has been studied. First of all, the relationship between the fractal pattern and mathematical morphology parameters has been discussed, especially in complex function system, escape time algorithm is used to generate fractal patterns. To discuss the control factors, an actual fractal pattern generation model was established. Then, based on the control factors of generating fractal patterns, the shape and the resulting pattern have been compared. Based on the fractal pattern generation model, a computer program has been development to generate fractal patterns. Finally, the patterns which are generated by the developed program can be applied to the arts pattern and textile pattern design. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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