地球信息科学学报 ›› 2014, Vol. 16 ›› Issue (5): 699-706.doi: 10.3724/SP.J.1047.2014.00699

• • 上一篇    下一篇

DEM地形描述误差(Et)计算模型研究

王春1(), 顾留碗1, 陶旸2, 刘玉婵1   

  1. 1. 滁州学院地理信息与旅游学院,滁州 239000
    2. 江苏省基础地理信息中心,南京 210013
  • 收稿日期:2014-02-10 修回日期:2014-03-20 出版日期:2014-09-10 发布日期:2014-09-04
  • 作者简介:

    作者简介:王 春(1975-),男,宁夏,博士,副教授,主要从事DEM数字地形分析和GIS集成应用技术研究。E-mail:wangchun93@126.com

  • 基金资助:
    国家自然科学基金项目“DEM地形描述误差的区域差异性研究”( 41001301);国家自然科学基金项目“多源多尺度DEM地表形态精度量化分析研究”(41201415);安徽省自然科学基金项目“数字高程模型可用性量化分析研究”(1408085MD77)

A New Calculation Model of DEM Terrain Description Error

WANG Chun1,*(), GU Liuwan1, TAO Yang2, LIU Yuchan1   

  1. 1. Geographic Information and Tourism College, Chuzhou University, Chuzhou 239000, China
    2. Geomatics Center of Jiangsu, Nanjing 210013, China
  • Received:2014-02-10 Revised:2014-03-20 Online:2014-09-10 Published:2014-09-04
  • Contact: WANG Chun E-mail:wangchun93@126.com
  • About author:

    *The author: CHEN Nan, E-mail:fjcn99@163.com

摘要:

论文依据DEM地形描述误差(简称Et)的产生机理,在分析现有Et计算模型的基础上,研究建立了顾及DEM格网布设位置的新型Et计算模型,同时以1:5万黄土丘陵地形为例,采用对比分析法揭示了DEM高程插值模型对Et计算结果准确性的影响。实验测试表明:(1)模型能有效地解算出Et的标准差、平均值、最大值、最小值等指标,准确展示出Et的空间分布特征,有助于实现DEM地形描述质量与应用不确定性的分区评价;(2)与双线性、三次卷积、局部二次多项式等常用DEM插值模型相比,以4×4 DEM格网单元为搜索圆的完全规则样条函数插值模型所重构的DEM地表形态,能更为理想地反映Et的量值大小和空间分布。

关键词: DEM, 地形描述误差, 地表形态精度, 格网分辨率, 质量分析

Abstract:

The DEM Terrain Description Error (Et) has a basic fact that even if the elevation sampling errors of DEM grid points are equal to zero, a terrain description error will still exist because of DEM simple matrix data format. With the development of earth observation technology, Et has become the main factor affecting the quality of DEM, especially when the DEM grid resolution is low. Traditional calculation models could not calculate the Et value of random points on terrain surface. A new calculation model of DEM terrain description error is presented in this paper for improving the traditional models. The new Et calculation model of any ground point considers the layout position of DEM grid which is established based on the mechanism of Et production. Statistic indexes of Et based on DEM are firstly presented. Then the layout scheme of DEM grid on different datum mark position is designed. At last, the Et value of any ground point considering the layout position of DEM grid is calculated using the new model of Et. 100 DEMs with 5、15、25、50、75、100 and 150 meters resolution for Loess hilly test area in Shannxi Province. The results show that: (1) the standard deviation, average value, extreme value, extreme difference and other metrics indexes of Et for each ground point in any DEM grid resolution of different physiognomy type areas could be calculated scientifically and effectively; (2) reconstruction methods of terrain surface based on DEM strongly influence the accuracy of Et model. Complete regularized spline function interpolation method based on a 4×4 search circle is tested for the optimal interpolation method.

Key words: DEM, terrain description error, morphology precision, cell size, quality analysis