| 光学表面的分形结构和表征算法 |
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| 引用本文： | 王贵林,戴一帆,郑子文. 光学表面的分形结构和表征算法[J]. 计量学报, 2004, 25(2): 97-99 |
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| 作者姓名： | 王贵林 戴一帆 郑子文 |
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| 作者单位： | 国防科技大学,机电工程与自动化学院,湖南,长沙,410073 |
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| 基金项目： | 国家863计划项目(2001AA421190) |
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| 摘 要： | 根据光学表面在微观结构上呈现出的统计自相似性，利用与尺度无关的分形模型描述了光学表面的结构特征，采用结构函数法对分形维数进行计算，分析了抛光表面的分形特点。在此基础上，提出了采用一阶自回归分形模型对抛光表面进行模拟的新方法，分析了界定尺度、模型参数对分形特征和分形维数的影响规律。
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| 关 键 词： | 计量学 光学表面 分形维数 结构函数 界定尺度 模型参数 |
| 文章编号： | 1000-1158(2004)02-0097-03 |
| 修稿时间： | 2003-01-21 |
The Fractal Structure and Simulation Characterized Arithmetic of Optical Surface |
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| WANG Gui-lin,DAI Yi-fan,ZHENG Zi-wen. The Fractal Structure and Simulation Characterized Arithmetic of Optical Surface[J]. Acta Metrologica Sinica, 2004, 25(2): 97-99 |
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| Authors: | WANG Gui-lin DAI Yi-fan ZHENG Zi-wen |
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| Abstract: | According to statistical self-similar nature of optical surface in microscopic view, it's structure characteristics are described with fractal model independent of scale. Fractal dimension is calculated by structure function and fractal character of polished surface is analyzed. On this condition, a new method which applies the first-order autoregressive fractal model to simulate optical surface is presented. The influence of definition scale and model parameter on fractal characteristics and fractal dimension are analyzed. |
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| Keywords: | Metrology Optical surface Fractal dimension Structure function Definition scale Model parameter |
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