| 具有稳健初值的选权迭代法曲面拟合模型粗差探测 |
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| 引用本文： | 王奉伟,周世健,周清,陆培鹤.具有稳健初值的选权迭代法曲面拟合模型粗差探测[J].测绘与空间地理信息,2015(6):39-41. |
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| 作者姓名： | 王奉伟 周世健 周清 陆培鹤 |
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| 作者单位： | 1. 东华理工大学测绘工程学院,江西南昌,330013;2. 江西省科学研究院,江西南昌,330096 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 将抗差估计的思想融入到二次曲面模型粗差探测的算法中,设计出对模型误差特别是粗差具有抵抗能力的粗差探测算法。稳健初值的选权迭代法即为抗差估计的一种,首先是通过线性规划的单纯形解法来计算观测值的残差,然后再根据残差和有关的参数,按所选择的权函数,计算每个观测值的权,经过迭代计算求得观测值的残差。通过实例证明,具有稳健初值的选权迭代法具有较强的稳健性和粗差探测能力。
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| 关 键 词： | 二次曲面模型 粗差探测与剔除 抗差估计 线性规划 |
Gross Error Elimination in Surface Fitting by Weight Iteration with Initial Values |
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| WANG Feng-wei,ZHOU Shi-jian,ZHOU Qing,LU Pei-he.Gross Error Elimination in Surface Fitting by Weight Iteration with Initial Values[J].Geomatics & Spatial Information Technology,2015(6):39-41. |
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| Authors: | WANG Feng-wei ZHOU Shi-jian ZHOU Qing LU Pei-he |
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| Abstract: | The article merged the idea of robust estimation into the algorithm of gross errors in quadric surface model .Robust Estima-tion contains the method of weight iteration with initial values .First, we calculate the residual errors of observed values with linear programming.Then based on the residual errors and parameters , the new weight value for each observation according to the weight function was figured up .The experiment showed the method had strong robustness to detecting gross errors . |
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| Keywords: | quadric surface model detection and elimination of gross errors robust estimation linear programming |
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