各向异性分形表面建模研究

摘要/Abstract

摘要：

为在计算机中对零件表面几何形貌的各向异性性质进行建模,进行了基于功率谱的各向异性分形表面建模研究。基于二维离散傅里叶变换的投影性质和旋转性质，实现了能在指定的单个或多个方向合成具有特定分形参数的各向异性分形表面的建模算法，并进一步讨论了合成表面的几何形貌与分形参数以及功率谱图的关系。研究结果表明，基于表面功率谱，可以精确、直观、方便地进行各类各向异性分形表面的建模。

关键词: 分形表面, 各向异性, 功率谱, 离散傅里叶变换

Abstract:

In order to model anisotropy surface geometry of components in computer, the algorithm of anisotropy fractal surface synthesis was studied, where any single or multi anisotropy direction fractal surface with specified fractal parameters could be synthesized based on the projection and rotation property of 2D discrete Fourier transform. And the relationship among fractal parameters, power spectrum and surface geometry appearance was discussed. It is found that anisotropy fractal surfaces can be modeled precisely, intuitively and conveniently with respect to the power spectrum of surfaces.

Key words: fractal surface, anisotropy, power spectrum, discrete Fourier transform

中图分类号:

TH161

周超, 黄健萌, 高诚辉. 各向异性分形表面建模研究[J]. 中国机械工程, 2015, 26(8): 1019-1023,1061.

Zhou Chao, Huang Jianmeng, Gao Chenghui. Modeling of Anisotropic Fractal Surface[J]. China Mechanical Engineering, 2015, 26(8): 1019-1023,1061.

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