中文摘要：

分析了经耙地后的土壤表面的分形特征,结果表明：在不同测量精度下,分形维数与无标度区间2项分形数值特征都具有高度的一致性;拟合线性后直线截距具有显著阶梯分布的特点,表明截距能够反映测量精度信息,基于该特点,应用分数布朗插值原理,对比插值前后地貌高度数据列,统计特征中的均值、标差、偏度系数、峰度系数,拟合线性后的直线截距和分形维数都保持高度相似,实现了不同测量精度下的耙地土壤表面二维形貌恢复,可准确描述与再现耙地土壤表面的复杂特性。

英文摘要：

The fractal characteristics of surface soil after harrowing were analyzed.The results indicated that： under different measurement accuracies,the dimensional and scale-free regional fractal numerical characteristics were highly consistent.Linear intercept had the significant rule of step distribution after linear simulation,showing that the intercept could reflect the information of measurement accuracy.Based on it,the fractional Brown＇s interpolation theory was applied,the height data series of the physiognomy before and after interpolation was compared,and their statistical characteristics such as the mean,standard deviation,skewness coefficient and kurtosis coefficient were analyzed,it was found that both linear intercept and fractal dimension after linear simulation maintained high comparability,so it realized the two-dimensional morphological recovery of harrowed soil surface under different measuring precisions,and could accurately describe and represent the complex characteristics of soil surface after harrowing.