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| Koch曲线与分维测量 | |
| 引用本文： | 李启楷,张跃,李继忠,刘兵海,李玉清,赵咏秋.Koch曲线与分维测量[J].北京科技大学学报,2000,22(4):354-357. |
| 作者姓名： | 李启楷 张跃 李继忠 刘兵海 李玉清 赵咏秋 |
| 作者单位： | 1. 北京科技大学材料科学与工程学院，北京 100083 2. 华东理工大学，上海 200237 3. 大冶特殊钢股份有限公司，黄石 435001 |
| 基金项目： | 国家自然科学基金;59771050,59872004; |
| 摘 要： | 通过构造Ｋｏｃｈ曲线岛对剖面小岛法测得的分维的准确性和可靠性进行了研究，并研究了Ｋｏｃｈ曲线岛的初始边长，形状和嵌套层次等构造因素对分维测量的影响。结果表明，剖面小岛法不适合于作为纳米度域的分维测量方法。 |
| 关 键 词： | 分形 Koch曲线 分维测量 断裂 断口 金属材料 |
| 修稿时间： | 2000年1月6日 |
Koch Curve and Fractal Dimension Determination |
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| LI Qikai,ZHANG Yue,LI Jizhong,LIU Binghai,LI Yuqing,ZHAO Yongqiou.Koch Curve and Fractal Dimension Determination[J].Journal of University of Science and Technology Beijing,2000,22(4):354-357. | |
| Authors: | LI Qikai ZHANG Yue LI Jizhong LIU Binghai LI Yuqing ZHAO Yongqiou |
| Abstract: | A study has been done on the accuracy and reliability offractal dimensions determined through slit island methods by employing Koch curves. The effects of various constructing factors such as initial size length, shape and looping level on the fractal dimension determnation have dimension detemlination have been investigated. Asa result it is proposed that the slit island methods should not be used in the fractal dimension determination at nanometer scale. |
| Keywords: | fractal fractal dimension Koch curve fractal dimension determination nanometer scale |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |