中文摘要：

由于时空数据集变得越来越庞大，逐个研究数据库中的实体变得非常困难，分析数据库中具有共性元组集的聚集信息变得越来越重要。具有空间关系约束的聚类信息隐含了信息的变化趋势，这些信息对于制定决策是非常重要的。本文根据时空数据库中时空聚集查询，研究了具有空间关系（拓扑关系、方向关系、距离关系和位置关系）约束的聚集查询理论，解决了在某一时刻，与给定元组具有某种空间关系的元组集的聚集查询。

英文摘要：

A vast amounts of spatial and temporal data are stored in a spatio-temporal database. So it is very difficult to study on the individual entry in the database. Study of set of tuples with same spatio-temporal characteristics and generating its aggregate information is more useful than individually analyzing every entry. Aggregate information obtained by aggregate queries with spatial relation constraints summarized the varying trends of tuples set are very important to make decision. Based on aggregate queries theory, aggregate queries with spatial relation constraints including the topological relation, direction relation, distance relation and position relation, are studied in the spatial-temporal database. Semantics of aggregate queries with stated spatial relation constrains with the given tuple in given time are studied in the paper.