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土壤表面分形表征效果對(duì)比
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國(guó)家自然科學(xué)基金資助項(xiàng)目(40861013);內(nèi)蒙古自治區(qū)自然科學(xué)基金資助項(xiàng)目(2010MS0716)


Effects Comparison on Fractal Characterization for Soil Surface Roughness
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    摘要:

    分形是研究土壤表面不平度的有效方法,,選擇合適的分形維數(shù)計(jì)算方法是準(zhǔn)確表征表面輪廓的關(guān)鍵,。利用W〖CD*2〗M理論分形曲線對(duì)常用于計(jì)算表面輪廓分形維數(shù)的4種方法進(jìn)行評(píng)價(jià),結(jié)果顯示均方根法在表征分形維數(shù)介于1.2~1.6的表面輪廓時(shí)精度最高,;均方根法在表征實(shí)測(cè)土壤表面時(shí)的適應(yīng)性強(qiáng),,無(wú)標(biāo)度區(qū)間寬。根據(jù)表面輪廓的均方差與區(qū)間尺度呈比例的性質(zhì)改進(jìn)了均方根法,,理論輪廓曲線的計(jì)算結(jié)果顯示其精度明顯提高,為準(zhǔn)確描述土壤表面的復(fù)雜特性提供了一種有效的方法,。

    Abstract:

    Fractal characterization is an effective way to investigate the soil surface roughness. An appropriate fractal dimension computation method is critical to obtain the accurate results. Four methods commonly used for computing the fractal dimensions were evaluated by using the W—M fractal profile curves. The results showed that the mean-root-square method had the highest accuracy in describing the soil surface roughness with fractal dimension between 1.2 and 1.6, it had a good adaptability in characterizing the real measured soil surface roughness. Based on the fact that the mean-root-square difference of surface roughness was proportional to the section scale, the mean-root-square method was improved. Compared with the theoretical curves, the new method showed a higher accuracy and provided a new method for describing the complex characteristics of soil roughness.

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侯占峰,李林,陳智,武佩,韓進(jìn)玉.土壤表面分形表征效果對(duì)比[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2011,42(4):39-42. Hou Zhanfeng, Li Lin, Chen Zhi, Wu Pei, Han Jinyu. Effects Comparison on Fractal Characterization for Soil Surface Roughness[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(4):39-42.

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