地理研究

地理研究 ›› 2012, Vol. 31 ›› Issue (10): 1825-1836.doi: 10.11821/yj2012100009

• 地球信息科学 • 上一篇    下一篇

DEM 点位地形信息量化模型研究

董有福1,2, 汤国安1   

  1. 1. 南京师范大学虚拟地理环境教育部重点实验室, 南京210046;
    2. 南京工业大学测绘学院, 南京210009
  • 收稿日期:2011-10-15 修回日期:2012-03-05 出版日期:2012-10-10 发布日期:2012-10-10
  • 作者简介:董有福(1976-),男,汉族,河南信阳人,副教授,主要从事DEM数字地形分析和空间数据挖掘研究。E-mail:dongyoufu@163.com
  • 基金资助:

    国家自然科学基金项目(40930531、41101360);江苏省高校自然科学研究项目(11KJB420001);江苏省优势学科建设工程资助项目

Research on quantification model for elevation point's terrain information based on DEMs

DONG You-fu1,2, TANG Guo-an1   

  1. 1. Key Laboratory of Virtual Geographic Environment, Ministry of Education, Nanjing Normal University, Nanjing 210046, China;
    2. College of Geomatics Engineering, Nanjing University of Technology, Nanjing 210009, China
  • Received:2011-10-15 Revised:2012-03-05 Online:2012-10-10 Published:2012-10-10

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摘要： 针对DEM 点位, 首先应用微分几何法对其所负载的语法信息量进行测度, 其次根据地形特征点类型及地形结构特征确定其语义信息量, 然后基于信息学理论构建了DEM 点位地形信息综合量化模型。在此基础上, 以黄土丘陵沟壑区作为实验样区, 对DEM 点位地形信息量提取方法及其在地形简化中的初步实例应用进行了探讨和验证。实验结果显示, 所提出的DEM 点位地形信息量化方案可行;基于DEM 地形信息量指数的多尺度DEM 构建方案, 具有机理明确、易于实现的特点, 并通过优先保留地形骨架特征点, 可以有效减少地形失真, 从而满足不同层次的多尺度数字地形建模和表达要求。对DEM 点位地形信息进行有效量化, 为认识DEM 地形信息特征提供了一个新的切入点, 同时为多尺度数字地形建模提供理论依据与方法支持。

关键词: DEM, 地形信息, 地形建模, 数字地形分析

Abstract: For a given point embedded in grid DEMs, its comprehensive quantification model of terrain information content representing its significance in approximating the true terrain surface is constructed on the basis of information theory after its terrain syntactic information content is measured with differential geometry algorithm, and its terrain semantic information content is determined according to the terrain feature type and the global terrain structure.Then, choosing a study area of 70km2 in the loess gully region with a resolution of 5m, the paper discusses the extraction procedure of the terrain information content for a grid point based on grid DEMs and an application in multi-scale terrain generalization based on grid point's terrain information content.Experimental results show that the terrain information measurement model for a grid point is feasible and the multi-scale DEMs reconstruction method is not only easy to implement but also effective in reducing terrain distortion by preferentially keeping a set of“surface-specific”structural points located in global terrain skeletons.The application example proved that the multi-scale DEMs constructed by selecting critical points based on their terrain information content values could meet the demands of digital terrain modeling in different terrain scales. Therefore, the research could be helpful in deepening our understanding of DEM terrain information characteristics and offering a theoretical and methodological support for multiscale digital terrain modeling.

Key words: Digital Elevation Model(DEM), terrain information, terrain modelling, digital terrain analysis