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GIS矢量数据的拓扑空间模糊划分模型

Fuzzy Division of Topological Space of GIS Vector Data
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摘要 在地理信息系统(GIS)中,针对现实世界复杂的地理现象和地理实体具有模糊不确定性而造成实体之间拓扑关系描述困难的问题,文中首先从四交模型和九交模型对空间实体间拓扑关系进行概述,然后在点集拓扑学的基础上,分析了复杂的模糊地理实体间拓扑关系形式化描述模型,并对该模型进行详细、准确的形式化描述和严格的数学表达,最后提出对模糊地理实体拓扑划分的改进方法和扩展模型。分析结果表明,该模型可以实现从简单实体到复杂实体的分析和模糊划分。 In GIS, aimed to complicated geographical phenomena and complicated geographical entity with fuzzy and uncertain cause the problem of describing topological relation difficultly in the real world, summarized to the topological relation between spatial entities with 4-intersection model and 9-intersection model firstly, and then based on the point-set topology analyzed the formalization-description model of the topological relation between fuzzy geographical entities, and gave the detailed and exact formalization-description and strict math formula. Lastly, it proposed the method, which improved and expanded topological division between fuzzy geographical entities. Analyzing result shows that the model could analyze and divide fuzzily from simple entity to complicated entity.
作者 向俊 王静
出处 《计算机技术与发展》 2012年第9期146-149,共4页 Computer Technology and Development
基金 广西自治区教育科研项目(201106LX868 201106LX864)
关键词 模糊区域 模糊划分 不确定性 空间拓扑关系 GIS矢量数据 fuzzy area fuzzy division uncertain spatial topological relation vector data of GIS
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