关键词: Kiesswetter曲线, 分数维布朗运动, 分形维数, 小波变换

Abstract: Based on the Kiesswetter curve and fractal Brown motion functions with known fractal dimension，wavelet transform method can present accurately the fractal dimension. Furthermore，covering a wide fractal dimension，it is indicated that wavelet transform method is better for calculating the fractal dimensions of the fractal profiles than other 7 methods，which are the box dimension method，the yard stick method，the co-variation method，the structure function method，the variation method，the power spectrum method and the rescaled range analysis method. Wavelet transform method can be applied to distinguish the determinacy，fractal and stochastic process，and to evaluate the fractal characterization of surface profiles.

Key words: Kiesswetter curve, Fractal Brown motion, Fractal dimension, Wavelet transform