摘要
随机中点位移法、二维Weierstrass-Mandelbrot函数法和离散傅里叶变换法是粗糙零件表面分形建模的3种常见算法.针对它们的合成速度、合成精度以及合成表面的均方根偏差进行了比较和研究.研究发现,离散傅里叶变换法的合成速度仅稍慢于随机中点位移法,但其合成精度以及对均方根偏差的控制能力,均优于其余2种方法.
Such methods as random midpoint displacement,two-dimensional Weierstrass-Mandelbrot function and discrete Fourier transform are popular for fractal surface modeling for rough part surfaces.Based on their synthesizing speed,accuracy and surface root-mean-square deviation,a comparative study is conducted.Accordingly,it is found that,although the synthesizing speed of discrete Fourier transform is slightly slower than that of random midpoint displacement,its synthesizing accuracy and root-mean-square deviation controllability are better than those of other two methods.
出处
《中国工程机械学报》
2011年第3期258-261,共4页
Chinese Journal of Construction Machinery
基金
国家自然科学基金资助项目(50775039
51175085)
福州大学科技发展基金资助项目(2011-XY-10)