| DEM地形复杂因子的确定及与地形描述精度的关系 |
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| 引用本文： | 刘春, 孙伟伟, 吴杭彬. DEM地形复杂因子的确定及与地形描述精度的关系[J]. 武汉大学学报 ( 信息科学版), 2009, 34(9): 1014-1020. |
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| 作者姓名： | 刘春 孙伟伟 吴杭彬 |
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| 作者单位： | 1同济大学测量与国土信息工程系,上海市四平路1239号,200092;2现代工程测量国家测绘局重点实验室,上海市四平路1239号,200092 |
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| 基金项目： | 国家自然科学基金资助项目(40501061)；国家863计划资助项目(2007AA12Z178) |
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| 摘 要： | 以相邻地形单元正法向量的夹角作为判断准则,提出了地形复杂因子的概念,用来量化描述DEM地形复杂度,并推导出栅格DEM和不规则三角网DEM地形复杂因子的计算公式。利用高斯合成曲面模拟不同的栅格DEM地形,研究地形复杂因子ECF与平均高程-h对DEM地形描述精度RMSEEt的影响。利用线性回归方法对模拟结果进行统计分析,得到栅格DEM地形描述精度RMSEEt与地形复杂因子ECF和平均高程h-之间的线性关系。该结果可以根据地形复杂程度推算DEM地形描述精度,而且可为DEM生产和误差研究提供可靠的理论依据。
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| 关 键 词： | 地形复杂因子 高斯合成曲面 DEM描述精度 |
| 收稿时间： | 2009-07-15 |
| 修稿时间： | 2009-07-15 |
Terrain Complexity Factor and Its Relationship with Accuracy of DEM Terrain Representation |
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| LIU Chun, SUN Weiwei, WU Hangbin. Terrain Complexity Factor and Its Relationship with Accuracy of DEM Terrain Representation[J]. Geomatics and Information Science of Wuhan University, 2009, 34(9): 1014-1020. |
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| Authors: | LIU Chun SUN Weiwei WU Hangbin |
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| Affiliation: | 1 Department of Surveying and Geo-Informatics,Tongji University,1239 Siping Road,Shanghai 200092,China;2 Key Laboratory of Advanced Engineering Survey of SBSM,1239 Siping Road,Siping 200092,Shanghai |
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| Abstract: | Based on estimating rule of the normal vector angles between two adjacent terrain units,we use the conception of Terrain Complexity Factor to quantify the terrain complexity of DEM,and then the formula of Terrain Complexity Factor in Raster DEM and TIN DEM has been deduced theoretically.In order to make clear how the Terrain Complexity Factor h-and the Average Elevation RMSEEt affect the accuracy of DEM Terrain Representation RMSEEt,the formula of Gauss Synthetical Surface has been hired to simulate several real terrain surfaces,each of which has different terrain complexity.Through the statistical analysis method of linear regression in simulation data,the linear equation between Accuracy of DEM Terrain Representation RMSEEt,Terrain Complexity Factor ECF and the Average Elevation h-has been achieved.We provide a new method to estimate the accuracy of DEM Terrain Representation RMSEEt with a certain terrain complexity,and also will supply convincing theoretical evidence for DEM production and the corresponding error research in the future. |
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| Keywords: | terrain complexity factor gauss synthetical surface the accuracy of DEM terrain representation |
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