基于填挖方的DEM地形描述误差建模及置信度评估  

Error Modelling and Confidence Assessment of DEM Terrain Description Based on Cut Fill Method

作　　者：李书雪 成毅[1] 葛文[1] 张金禄 曹涟帅 LI Shuxue;CHENG Yi;GE Wen;ZHANG Jinlu;CAO Lianshuai(Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]信息工程大学,河南郑州450001

出　　处：《测绘科学技术学报》2025年第1期97-103,共7页Journal of Geomatics Science and Technology

基　　金：自然资源部重点实验室基金项目(212106)。

摘　　要：针对当前DEM误差研究广泛但度量方法的通用性及结果可靠性却难以满足实际应用需求的问题,提出一种基于填挖方分析的DEM地形描述误差模型及置信度评估方法。该方法通过回归拟合探究了地形复杂度I_(TC)、分辨率R及DEM地形描述误差E_(c)间的关联,建立了DEM地形描述误差定量估算模型E_(c)=0.0138×R×I_(TC);同时以该模型的残差统计为基础,根据误差可视化方法构建残差偏移区间,得到该模型置信度区间范围。实验表明,模型精度高达93.4218%,且96%的模型计算结果在置信水平为0.05的区间内。该模型不仅为在不同地形条件下确定满足限差要求的DEM分辨率提供了依据,而且对实际应用中DEM质量进行评判和决策的可靠性问题提供了思路。Aiming at the problem that the current research on DEM error is extensive,but the generality of the measurement method and the reliability of the results are still difficult to meet the needs of practical applications,a DEM terrain description error model and a confidence assessment method are proposed based on cut fill analysis.In this method,the correlations of terrain complexity I_(TC),the resolution R and DEM terrain description error E_(c) are explored by using regression fitting algorithm.And a quantitative estimation model of DEM terrain description error is represented as E_(c)=0.0138×R×I_(TC).At the same time,based on the residual statistic of the model,the residual offset interval is constructed according to the error visualization method,and the range of the confidence interval of the model is obtained.The experiment shows that the model accuracy is as high as 93.4218%,and 96% results of the model calculation are within the confidence interval of 0.05.The model not only provides a basis for determining the DEM resolution that meets the requirements of the limit deviation under different terrain conditions,but also provides ideas on the reliability of judging the DEM quality and making decisions in practical applications.

关 键 词：数字地形分析 DEM地形描述误差 置信度 填挖方 地形复杂度 

分 类 号：P208[天文地球—地图制图学与地理信息工程] K909[天文地球—测绘科学与技术]