土壤表面分形维数计算方法的对比与分析
首发时间:2013-06-03
摘要:分析了变差法、功率谱密度法、结构函数法、轮廓均方根法和R/S法计算分形维数的原理及使用特点,基于W-M函数比较各个方法的计算精度。对播种后地表、犁地后地表、整地后地表进行分形维数、无标度区间及相关系数的计算与分析。结果表明:犁地后地表虽然起伏大,但分形维数小,地表并不复杂;功率谱法和R/S法不适合于软地面分形维数的计算;均方根法计算软地面的分形维数精度较高,线性回归的相关系数较大,无标度区间较稳定。
关键词: 农业机械化工程 地面 分形 W-M函数 无标度区间
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Comparison of calculation method of fractal dimension of soil surface
Abstract:Analyzing principle and characteristics of different methods including variate-difference method, power spectral density method, the structure function method, the mean square root method, the R/S method, comparing accuracy of different methods based on Weierstrass-Mandelbrot function. The calculation and analysis including fractal dimension, non-scale range and correlation coefficient were done to surface after sowed, surface after sowed, surface after ploughed, surface after soil preparation. The results show: Although the undulation of surface after ploughed is not large, fractal dimension is small, surface is not complex; Power spectral density method and the R/S method don't adapt to calculation of soft soil; Fractal dimension of the mean square root method is more accuracy, correlation coefficient of linear regression is larger, non-scale range is steadier.
Keywords: Agricultural mechanization engineering Agricultural soil surface Fractal Weierstrass-Mandelbrot function Non-scale range
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