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土壤表面分形维数计算方法对比与分析

发表时间:2013-10-15  浏览量:1355  下载量:339
全部作者: 鲁植雄,姜春霞,刘奕贯,高强,吴俊淦,金文忻
作者单位: 南京农业大学工学院
摘 要: 分析变差法、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Weierstrass-Mandelbrot(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:犁地后地表起伏大,但分维小,细微结构少,复杂程度小;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准确,线性回归的相关性好,无标度区间变化很小。
关 键 词: 农业机械化;均方根法;分形;Weierstrass-Mandelbrot函数;无标度区间
Title: Comparison and analysis of calculation methods of fractal dimension on soil surface
Author: LU Zhixiong, JIANG Chunxia, LIU Yiguan, GAO Qiang, WU Jungan, JIN Wenxin
Organization: College of Engineering, Nanjing Agricultural University
Abstract: The principle and characteristics of different methods including variate-difference method, power spectral density method, the structure function method, the mean square root method and the R/S method were analyzed, and the accuracy of different methods was comparied based on Weierstrass-Mandelbrot function. Furthermore, the fractal dimension, non-scale range and correlation coefficient on the surface after sowed, surface after ploughed and surface after soil preparation were calculated and analyzed. The results showed that although the undulation of surface after ploughed was not large, the fractal dimension was smaller and the surface was not complex. Power spectral density method and the R/S method did not adapt to the calculation for the soft soil. While the fractal dimension of the mean square root method was more accuracy for the soft soil, and the correlation coefficient of linear regression was larger, the non-scale range was steadier.
Key words: agricultural mechanization; mean square root method; fractal; Weierstrass-Mandelbrot function; non-scale range
发表期数: 2013年10月第19期
引用格式: 鲁植雄,姜春霞,刘奕贯,等. 土壤表面分形维数计算方法对比与分析[J]. 中国科技论文在线精品论文,2013,6(19):1840-1848.
 
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