| 分形图形周界和面积的关系 |
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| 引用本文： | 龙期威.分形图形周界和面积的关系[J].高压物理学报,1990,4(4):259-262. |
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| 作者姓名： | 龙期威 |
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| 作者单位： | 中国科学院金属物理研究所 中国科学院国际材料物理中心 |
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| 摘 要： | 本文讨论分形图形周界和面积的关系；指出：在现实存在的有限层次自相似结构的近似分形图形中，Mandelbrot的周界-面积分维关系不适用。这可能是一些用此方法测出的分维值随码尺大小变化的根本原因。
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| 关 键 词： | 分形 分维 Koch岛 自相似 |
| 收稿时间： | 1990-03-07; |
PERIMETER-AREA RELATION OF FRACTAL ISLAND |
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| Long Qiwei.PERIMETER-AREA RELATION OF FRACTAL ISLAND[J].Chinese Journal of High Pressure Physics,1990,4(4):259-262. |
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| Authors: | Long Qiwei |
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| Institution: | 1. Institute of Metal Research, Academia Sinica, Shenyang 110015, China;2. International Center for Materials Physics, Academia Sinica, Shenyang 110015, China |
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| Abstract: | The relationship of perimeter with area (P/A relation) of fractal island is discussed. It is shown that Mandelbrot's fractal relation between Koch perimeter and area does not hold in the island with finite self-similar generations. This might be the reason why the fractal dimension measured with PI A relation varied with the length of yardstick in previous work. |
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| Keywords: | fractal fractal dimension koch island self-similarity |
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