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]. 工程科学学报, 2000, 22(4): 354-357. DOI: 10.13374/j.issn1001-053x.2000.04.050
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]. 工程科学学报, 2000, 22(4): 354-357. DOI: 10.13374/j.issn1001-053x.2000.04.050
shu
LI Qikai, ZHANG Yue, LI Jizhong, LIU Binghai, LI Yuqing, ZHAO Yongqiu. Koch Curve and Fractal Dimension Determination[J]. Chinese Journal of Engineering, 2000, 22(4): 354-357. DOI: 10.13374/j.issn1001-053x.2000.04.050
Citation: LI Qikai, ZHANG Yue, LI Jizhong, LIU Binghai, LI Yuqing, ZHAO Yongqiu. Koch Curve and Fractal Dimension Determination[J]. Chinese Journal of Engineering, 2000, 22(4): 354-357. DOI: 10.13374/j.issn1001-053x.2000.04.050
shu

Koch曲线与分维测量

Koch Curve and Fractal Dimension Determination

    摘要
  • 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.

     

    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.

     

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