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

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....

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Main Authors: Lujin Hu, Zongyi He, Jiping Liu, Chunhua Zheng
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/17/10/7021
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author Lujin Hu
Zongyi He
Jiping Liu
Chunhua Zheng
author_facet Lujin Hu
Zongyi He
Jiping Liu
Chunhua Zheng
author_sort Lujin Hu
collection DOAJ
description 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.
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spelling doaj.art-95b0aa156c7f44c4974df63ac9d52a732022-12-22T02:07:20ZengMDPI AGEntropy1099-43002015-10-0117107021705110.3390/e17107021e17107021Method for Measuring the Information Content of Terrain from Digital Elevation ModelsLujin Hu0Zongyi He1Jiping Liu2Chunhua Zheng3School of Resource and Environmental Sciences, Wuhan University, Wuhan 430072, ChinaSchool of Resource and Environmental Sciences, Wuhan University, Wuhan 430072, ChinaResearch Centre of Government Geographic Information System, Chinese Academy of Surveying and Mapping, Beijing 100830, ChinaSchool of Computer Science and Technology, Xidian University, Xi’an 710071, ChinaAs 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.http://www.mdpi.com/1099-4300/17/10/7021terraininformation contentdigital elevation models
spellingShingle Lujin Hu
Zongyi He
Jiping Liu
Chunhua Zheng
Method for Measuring the Information Content of Terrain from Digital Elevation Models
Entropy
terrain
information content
digital elevation models
title Method for Measuring the Information Content of Terrain from Digital Elevation Models
title_full Method for Measuring the Information Content of Terrain from Digital Elevation Models
title_fullStr Method for Measuring the Information Content of Terrain from Digital Elevation Models
title_full_unstemmed Method for Measuring the Information Content of Terrain from Digital Elevation Models
title_short Method for Measuring the Information Content of Terrain from Digital Elevation Models
title_sort method for measuring the information content of terrain from digital elevation models
topic terrain
information content
digital elevation models
url http://www.mdpi.com/1099-4300/17/10/7021
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AT jipingliu methodformeasuringtheinformationcontentofterrainfromdigitalelevationmodels
AT chunhuazheng methodformeasuringtheinformationcontentofterrainfromdigitalelevationmodels