| 曲率计算公式的改进及应用效果 |
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| 引用本文： | 李福强, 蒋文杰, 蔡涵鹏, 蒋首进, 胡英. 曲率计算公式的改进及应用效果[J]. 煤田地质与勘探, 2013, 41(2): 83-86. DOI: 10.3969/j.issn.1001-1986.2013.02.020 |
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| 作者姓名： | 李福强 蒋文杰 蔡涵鹏 蒋首进 胡英 |
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| 摘 要： | 曲率属性近年来在构造识别和解释上得到了迅速的发展和应用，而曲率计算通常使用3×3网格单元对局部曲面作最小二乘法逼近，由Roberts推导并给出了具体的计算公式，该方法在求取曲率值时带来了大量噪声。采用5×5网格单元对局部曲面进行最小二乘法拟合，导出了5×5网格单元求取曲率的计算公式，并对3×3网格、5×5跳点网格、5×5网格求取曲率的结果进行了对比。结果表明，改进后的曲率计算方法抗噪能力显著增强。
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| 关 键 词： | 泰勒公式 曲率 网格 差分方法 |
| 收稿时间： | 2012-04-27 |
New curvature calculation formula and its application |
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| LI Fuqiang, Jiang Wenjie, CAI Hanpeng, JIANG Shoujin, HU Ying. New curvature calculation formula and its application[J]. COAL GEOLOGY & EXPLORATION, 2013, 41(2): 83-86. DOI: 10.3969/j.issn.1001-1986.2013.02.020 |
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| Authors: | LI Fuqiang Jiang Wenjie CAI Hanpeng JIANG Shoujin HU Ying |
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| Abstract: | The previous researches calculated the curvature by using the least square method to approximate the local surface with 3×3 grid. Its specific calculation formula is deduced by Roberts. The aperture brings a lot of noise when we calculate the value of the curvature. In order to solve this problem, we use the least square method to approximate the local surface with 5×5 grid, give the detailed calculation formula and then compare with the results got by 3×3 grid, 5×5 jumping grid and 5×5 grid. The results prove that the improved curveture methods has enhanced the anti-noise ability. |
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| Keywords: | Taylor's formula curvature grid difference method |
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