Koch Curve and Fractal Dimension Determination

LI Qikai; ZHANG Yue; LI Jizhong; LIU Binghai; LI Yuqing; ZHAO Yongqiu

doi:10.13374/j.issn1001-053x.2000.04.050

Volume 22 Issue 4

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Article Navigation > Chinese Journal of Engineering > 2000 > 22(4): 354-357

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

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Koch Curve and Fractal Dimension Determination

doi: 10.13374/j.issn1001-053x.2000.04.050

1. Material Science and Engineering, UST Beijing, Beijing 100083, China;
2. East China Uinversity of Science and Technology Shanghai 200237, China;
3. Daye Special Steel Co. Ltd., Huangshi 435001, China

Received Date: 2000-01-06
Available Online: 2021-08-27

Abstract

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.
- fractal,
- fractal dimension,
- Koch curve,
- fractal dimension determination,
- nanometer scale