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Method for Measuring the Information Content of Terrain from Digital Elevation Models

机译：基于数字高程模型的地形信息量测量方法

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摘要

As digital terrain models are indispensable for visualizing and modeling geographic processes, terrain information content is useful for terrain generalization and representation. For terrain generalization, if the terrain information is considered, the generalized terrain may be of higher fidelity. In other words, the richer the terrain information at the terrain surface, the smaller the degree of terrain simplification. Terrain information content is also important for evaluating the quality of the rendered terrain, e.g., the rendered web terrain tile service in Google Maps (Google Inc., Mountain View, CA, USA). However, a unified definition and measures for terrain information content have not been established. Therefore, in this paper, a definition and measures for terrain information content from Digital Elevation Model (DEM, i.e., a digital model or 3D representation of a terrain’s surface) data are proposed and are based on the theory of map information content, remote sensing image information content and other geospatial information content. The information entropy was taken as the information measuring method for the terrain information content. Two experiments were carried out to verify the measurement methods of the terrain information content. One is the analysis of terrain information content in different geomorphic types, and the results showed that the more complex the geomorphic type, the richer the terrain information content. The other is the analysis of terrain information content with different resolutions, and the results showed that the finer the resolution, the richer the terrain information. Both experiments verified the reliability of the measurements of the terrain information content proposed in this paper.
机译：由于数字地形模型对于可视化和建模地理过程必不可少，因此地形信息内容对于地形概括和表示很有用。对于地形概括，如果考虑地形信息，则广义地形可能具有更高的保真度。换句话说，地形表面上的地形信息越丰富，地形简化程度越小。地形信息内容对于评估渲染地形的质量也很重要，例如Google Maps（美国加利福尼亚州山景城的Google Inc.）中的渲染网络地形图块服务。但是，尚未建立有关地形信息内容的统一定义和度量。因此，本文提出了基于数字高程模型（DEM，即地形表面的数字模型或3D表示）数据的地形信息内容的定义和度量，并基于地图信息内容，遥感的理论图像信息内容和其他地理空间信息内容。信息熵被作为地形信息内容的信息测量方法。进行了两次实验以验证地形信息内容的测量方法。一是对不同地貌类型的地形信息内容进行分析，结果表明，地貌类型越复杂，地形信息内容越丰富。二是对不同分辨率的地形信息内容进行分析，结果表明，分辨率越高，地形信息越丰富。两项实验都验证了本文提出的地形信息内容测量的可靠性。

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