基于随机过程的格网DEM精度场模型

摘要

针对目前DEM格网精度从理论上难于统一量化描述问题,提出一种基于随机过程的格网DEM精度场模型。该模型从随机过程理论入手,借助DEM的统一插值模型,建立DEM两类误差（噪声误差和逼近误差）的统一误差模型,并分析构成DEM误差的各个分量的数学意义。与已有的模型相比,该模型实现了传统DEM两类误差的统一描述,此外,该模型适用任意插值方式生成的格网DEM的精度评价。%A stochastic process based accuracy field model is proposed to estimate the DEM grid accuracy.Compared with traditional models,the model investigated two kinds of DEM errors（noise error and approximate error） and evaluated them with uniform mathematical description,which further revealed the mathematic meaning for each components that made up of DEM error.As to application aspect,the model has sound versatility that can adapt to all error assessing on condition that build grid DEM using interpolation method.