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| GIS空间目标的广义Hausdorff距离模型 | |
| 引用本文： | 邓敏,钮沭联,李志林.GIS空间目标的广义Hausdorff距离模型[J].武汉大学学报(信息科学版),2007,32(7):641-645. |
| 作者姓名： | 邓敏 钮沭联 李志林 |
| 作者单位： | 1. 中南大学测绘与国土信息工程系,长沙市麓山南路932号,410083 2. 亚洲理工学院地理信息系统与遥感系,泰国曼谷,12120 3. 香港理工大学土地测量与地理资讯学系,香港九龙红碪 |
| 基金项目： | 国家自然科学基金;国家重点实验室基金;山东省重点实验室基金;国家重点实验室基金 |
| 摘 要： | 分析了GIS中常用的空间距离度量及其存在的问题，这些距离度量没有顾及空间目标的整体形状、位置分布等特征。基于此，引入了Hausdorff距离的概念，给出了Hausdorff距离的计算方法，分析指出了Hausdorff距离容易受空间目标局部几何形状的影响。进而从统计学的角度分析了现有的距离度量并不能有效地表达空间目标间距离的整体分布，并提出了一种广义Hausdorff距离模型，这种距离模型能够度量空间目标间距离分布的中心趋势和离散度。实际算例证明了此模型在GIS环境下的实现方法。 |
| 关 键 词： | 空间距离 Hausdorff距离 广义Hausdorff距离 |
| 文章编号： | 1671-8860（2007）07-0641-05 |
| 修稿时间： | 2007-04-27 |
A Generalized Hausdorff Distance for Spatial Objects in GIS |
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| DENG Min,NIU Shulian,LI Zhilin.A Generalized Hausdorff Distance for Spatial Objects in GIS[J].Geomatics and Information Science of Wuhan University,2007,32(7):641-645. | |
| Authors: | DENG Min NIU Shulian LI Zhilin |
| Institution: | 1 Department of Surveying and Geo-informatics, Central South University, 932 South Lushan Road, Changsha 410083, China;2 Space Technology Applications and Research Program, Asian Institute of Technology, Bangkok 12120, Thailand;3 Department of Land Surveying and Geo-informatics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China |
| Abstract: | Existing computational models for the distance between spatial objects are evaluated. The concept of the Hausdorff distance is introduced as a metric indicator. This distance is further extended to form a new concept-generalized Hausdorff distance, which is a more generic model suitable for different types of spatial objects. This distance model includes two measures, distance range and median Hausdorff distance. The former represents the dispersion of whole distance distribution, and the latter represents the central tendency of the distance distribution. In the meantime, a practical example with various types of spatial objects is provided to illustrate the implementation of this model in the Arcview. |
| Keywords: | spatial distance Hausdorff distance generalized Hausdorff distance |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |