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多粒度时空对象空间关系的统一表达与计算
引用本文:萧声隽,宗真,项丽燕,胡勇.多粒度时空对象空间关系的统一表达与计算[J].地球信息科学,2017,19(9):1178-1184.
作者姓名:萧声隽  宗真  项丽燕  胡勇
作者单位:1. 南京师范大学地理科学学院,南京 2100232. 南京师范大学 虚拟地理环境教育部重点实验室,南京 2100233. 南京师范大学计算机科学与技术学院,南京 210023
基金项目:国家重点研发计划项目(2016YFB0502300);国家自然科学基金项目(41571380)
摘    要:空间关系表达了空间数据的相互约束,在空间查询语言、数据检索及空间分析中具有重要作用。当前关于空间关系的研究,多基于简单地理对象,或者只对某一种空间关系进行独立的算法设计,难以满足多粒度对象多种空间关系的统一表达与计算。为此,本文利用几何代数运算的对象无关性和维度无关性,构建简单对象空间关系计算算子,并将其推广到多粒度对象,实现全空间地理信息系统框架下多粒度对象三种空间关系的一体化表达与计算。最后,以三角网求交算法为例,证明了算法的可行性,为全空间GIS中空间关系的表达和计算提供了借鉴。

关 键 词:多粒度时空对象  GIS  空间关系  几何代数  
收稿时间:2017-05-23

The Unified Expression and Calculation of Spatial Relationships of Spatio-temporal Object of Multi-granularity
XIAO Shengjuan,ZONG Zhen,XIANG Liyan,HU Yong.The Unified Expression and Calculation of Spatial Relationships of Spatio-temporal Object of Multi-granularity[J].Geo-information Science,2017,19(9):1178-1184.
Authors:XIAO Shengjuan  ZONG Zhen  XIANG Liyan  HU Yong
Institution:1. School of Geographic Science, Nanjing Normal University, Nanjing 210023, China2. Key Laboratory of Virtual Geographic Environment, Ministry of Education, Nanjing Normal University, Nanjing 210023,China3. School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, China
Abstract:Spatial relationships play an important role in spatial query language, data retrieval and spatial analysis. However, the current research of spatial relations are hard to realize the unified expression and calculation of spatio-temporal objects of multi-granularity. In this paper, the spatial relationships computing operators of the simple objects are designed based on the type-independence and dimension-independence characteristics of GA operators. The operators are then generalized to spatio-temporal objects of multi-granularity by the union operator. Lastly, we realized the unified expression and calculation of three kinds of spatial relationships for the spatio-temporal objects of multi-granularity under the framework of pan-spatial GIS. The triangulation intersection algorithm is raised as an example to prove the reliability of our methods. Our research also provides the reference for expression and calculation of spatial relationships in pan-spatial GIS.
Keywords:spatio-temporal objects of multi-granularity  GIS  spatial relation  geometry and algebra  
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