GIS时空分析系统的Clifford代数设计与实现  

Design and Implementation of GIS Temporal Spatial Analysis System Based on Clifford Algebra

作　　者：俞肇元[1] 袁林旺[1] 罗文[1] 易琳[1] 

机构地区：[1]南京师范大学虚拟地理环境教育部重点实验室,南京市文苑路1号210046

出　　处：《武汉大学学报（信息科学版）》2011年第12期1397-1401,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(41171300);国家自然科学基金重点资助项目(40730527);国家高技术研究发展计划专项资助项目(2009AA12Z205)

摘　　要：以Clifford代数为理论基础与数学工具,构建了时空分析原型系统:①在兼容多类常用GIS数据格式的基础上,根据Clifford代数空间构建的思想,对现有时空数据模型进行扩展,实现了时间、空间与属性的一体化表达;②定义了可支撑多维度时空分析的几何、度量等Clifford代数算子库;③基于插件的时空分析模型算法构建及集成框架,实现了高维邻域分析、网络分析以及时空栅格数据分析等地学分析算法。实验结果显示,根据Clifford代数所构建的时空分析系统可有效支撑多维时空分析。By introducing Clifford Algebra as the theoretical foundation and mathematical tools,a prototype temporal spatial analysis software system was proposed.The characteristics of this system can be summarized as following.① Under the premise of keeping the compatibilities with the commonly used GIS data,a new type of temporal-spatial data model,which unified the expression of both temporal,spatial and attribution components within the multivector structure,was proposed.② Geometric and metric operator libraries were defined,which can support multidimensional temporal spatial analysis.③ Plugging based temporal spatial analysis model constructing and integrating framework was implemented.Typical GIS temporal spatial analysis algorithms like multidimensional V-neighbor analysis,minimum union analysis and unified spatial-temporal process analyses with spacetime algebra were implemented and integrated.Results suggest that the proposed system can support multidimensional temporal spatial analysis effectively,which can also provide reference on improving research on unified temporal spatial analysis methods and GIS systems.

关 键 词：时空分析 CLIFFORD代数 GIS 

分 类 号：P208[天文地球—地图制图学与地理信息工程]