中文摘要：

针对传统多波束测深数据网格化内插方法抗差性不足的问题,该文将抗差估计理论应用于网格化内插方法中。基于不确定度指标建立了距离不确定度联合加权内插模型,在该模型的权函数中引入了等价权,同时给出了等价权设计方案及迭代初值确定原则,以增强模型的抗差性;介绍了一种节点邻域参考点合理选取方法,给出了改进内插法实现的基本步骤,最后通过实测数据对反距离加权法、联合加权法及改进方法内插水深质量进行比较。结果表明,改进方法内插结果要优于另外两种方法,可应用于多波束测深数据网格化处理中。

英文摘要：

To solve the problem that the traditional multibeam data gridding interpolation method is lack of robustness, the robust estimation was applied to gridding interpolation method. The distance-uncertainty combined weight interpolation model was built based on uncertainty index, the equivalent weight was introduced to weight function of this model while the equivalent weight scheme and determining principles of initial iterative value were given in order to enhance robustness; a method to choose reference points among nod neighborhood was introduced, the basic steps of improved interpolation method were given. Finally, the interpolation quality of inverse distance weighted method, joint weighted method and improved method were compared with each other with measured data. The results showed that the interpolation quality of the improved method was better than that of the other two, which could be applied in the processing of multibeam data gridding.