中文摘要：

构造了不同分形雏数的Weierstrass-Mandelbrot（W-M）分形曲面，采用多重分形方法研究了W．M曲面表面高度的分布特征。结果表明，随着曲面分形维数的增加，多重分形谱的谱宽Δα从0．082增大到0．215，说明曲面的起伏、粗糙程度随分形维数的增加不断增大，与方均根rms粗糙度盯的计算结果一致。分形谱的△f均〉0，表明曲面上高度最大处数目多于高度最小处数目，曲面的峰位处比较平缓、圆润。

英文摘要：

The Weierstrass-Mandelbrot （W-M） curves with different fractal dimension were simulated. The surface height distributions of W-M curves were characterized by means of multifractal. Multifractal spectra,f （α）- α,show that as the fractal dimension increases, the spectrum width, Δa, increases from 0. 082-0. 215, indicating the undulation and roughness of curves vary with the same way as Δa. The results are in good agreement with root-mean-square （rms） surface roughness. The fact that the Δf of multi-fractal spectra are greater than zero, reveals that the number of highest sites is larger than that of lowest sites. The peaks of curve are gentle and flat.