犁耕土壤表面的三维分形插值重构

利用非接触式激光地面不平度仪测量三维犁耕地面不平度,采用不同的剔除率,对剔除后的犁耕地面不平度数据进行了三维分形插值重构,使用统计特性参数及分形特性参数对原始测量的犁耕地面不平度与插值重构后的犁耕地面不平度进行对比分析。研究结果表明:在剔除率小于80%的前提下,使用三维分形插值方法可重构出三维犁耕土壤表面,真实表达了原始的三维犁耕表面;并可得出犁耕土壤不平度的纵向无标度区间为459 mm,横向无标度区间为23 mm。这对三维犁耕地面不平度的最小测量间距提供了理论依据,为三维犁耕地面不平度重构提供了实用方法。

Reconstruction of Ploughed Soil Surface with 3D Fractal Interpolation

By using a laser profiler, the roughness of ploughed soil surface was obtained. 3D fractal interpolation method was used to interpolate several kinds of reduced measured surface data which were reduced from the original measured ploughed soil surface elevation data in different reduction rates. Also fractal and statistical characteristic parameters were used to compare the original data and the interpolated data. The results show that 3D ploughed soil surface model can be obtained efficiently by the 3D fractal interpolation method with the reduction rate below 80% and the fractal non scale spacing of the dimensions was deduced: the transverse and longitudinal spacing were 23mm and 459mm, respectively. The result provided a theory for choosing the minimum measurement spacing of the ploughed soil and a method for reconstruction of ploughed soil surface.