测绘学报

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多波束测深数据的抗差Kriging 拟合

王海栋,柴洪洲,王敏   

  1. 信息工程大学测绘学院
  • 收稿日期:2010-07-15 修回日期:2010-11-13 出版日期:2011-04-25 发布日期:2011-04-25
  • 通讯作者: 柴洪洲

Multibeam Bathymetry Fitting based on Robust Kriging

  • Received:2010-07-15 Revised:2010-11-13 Online:2011-04-25 Published:2011-04-25

摘要: 针对普通Kriging法处理多波束测深数据受异常值影响的问题,推导了变异函数样本值的抗差计算公式来消除异常值对变异函数拟合的干扰。利用实测数据对算法进行实现,验证了其在精确估计和检测异常方面的优势。进一步采用该算法对数据进行规则格网的构建,将其与人工剔除异常生成的格网比较,获得了一致效果,证明了算法在自动检测异常的同时生成高精度海底地形规则格网的可行性。

Abstract: In view of the fact that the Ordinary Kriging algorithm will be influenced by outliers while processing multibeam bathymetry data. The calculating formula of sample variogram is deduced by robust estimation, and the influence of outliers in fitting variogram function is eliminated. The superiority of the algorithm in exactitude estimating and detecting outliers is proved by real data experiments. The regular square grids of multibeam data are also constructed by the algorithm. The grids values are compared with which is calculated by manual processing, and they are consistent; hence the feasibility is proved that the seabed terrain grids can be constructed by our algorithm in high precision while outliers is detected automatically.