多波束测深数据处理的抗差最小二乘配置迭代解法

发布时间：2018-04-20 05:27

本文选题：最小二乘配置 + 海底地形生成　；参考：《测绘学报》2017年05期

【摘要】：针对利用最小二乘配置处理多波束测深数据,存在二次曲面数学模型通常无法精确表征海底地形的整体变化趋势以及观测数据存在粗差或异常点时,常规方法给出的协方差函数不能精确表征其统计特性的问题,本文提出了一种抗差最小二乘配置迭代解法。该方法首先进行协方差函数和观测值方差阵初始化,以多面函数拟合趋势项,然后应用等价权抗差估计并通过迭代计算,最终给出稳健的协方差函数参数解及最小二乘配置解。利用本文提出的方法及传统的方法处理实测的多波束测深数据,试验结果表明,相比于传统的方法,本文提出的方法能够较好地表征海底地形的整体变化趋势,一定程度上克服了多波束测深数据中粗差或异常点的影响。相比于传统的抗差方法,本文方法更为有效地识别出测深数据中异常点,推估效果较好,具有稳健性。
[Abstract]:In view of processing multi-beam bathymetric data with least square configuration, the Quadric mathematical model is usually unable to accurately characterize the overall trend of submarine topography and the gross error or anomaly point of the observed data. The problem that the covariance function given by the conventional method can not accurately characterize its statistical properties is discussed in this paper. In this paper, a robust least square collocation iterative method is proposed. The method initializes the covariance function and the observed variance matrix, then uses the multi-plane function to fit the trend term. Then, the robust covariance function parameter solution and the least square collocation solution are given by using the equivalent weight robust estimation and iterative calculation. The method proposed in this paper and the traditional method are used to process the measured multi-beam bathymetric data. The experimental results show that compared with the traditional method, the method presented in this paper can better represent the overall variation trend of the seabed topography. To some extent, it overcomes the influence of gross error or anomaly point in multi-beam bathymetric data. Compared with the traditional robust method, the proposed method is more effective in identifying outliers in bathymetric data.
【作者单位】：东华理工大学测绘工程学院;流域生态与地理环境监测国家测绘地理信息局重点实验室;江西省数字国土重点实验室;
【基金】：国家自然科学基金(41664001;41204003) 江西省杰出青年人才资助计划项目(20162BCB23050) 国家重点研发计划(2016YFB0501405) 江西省教育厅科技项目(GJJ150595) 江西省数字国土重点实验室开放研究基金(DLLJ201705)~~
【分类号】：P229

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