Abstract: Spatial relations play an important role in spatial query，analysis and reasoning.Spatial relations are categorized into three types of relations，namely topological，directional and distance relations.This paper is concentrated on the integrated representation of these three relations.For this purpose，a strategy of decomposition and combination is employed.At first，topological relations between two regions are decomposed into a set of basic（or local） topological relations（also called intersection components）.Further，local directional and local distance relations are defined based on two adjacent intersection components.Meanwhile，corresponding computational methods are presented for the differentiation of local topological，directional and distance relations.On this basis，the combination of these three local relations can be obtained with an ordered set of local topological relation being a most basic information chain，which is used to incorporate local direction and local distance.In this way，other metric information can also be directly defined and combined into the integrated representation.Finally，the implementation of this integrated representation is provided to illustrate the rational of the proposed approach in this paper.

Key words: spatial relations, integrated representation, topological relation, directional relation, distance relation

摘要： 以面目标为研究对象，采用分解与组合的研究策略，提出了一种集成两个面目标间各种类型空间关系信息的表达方法。在该方法中，首先将空间关系分类为拓扑关系、方向关系和距离关系。针对每一类关系，分解为局部拓扑关系（即交分量类型）、局部方向关系和局部距离关系。其中局部方向关系和局部距离关系是根据相邻局部拓扑关系进行定义的。然后对这些局部关系进行区分，并按照一定顺序进行组合，从而建立一个集拓扑、方向和距离为一体的空间关系表达框架。最后，给出了各种类型空间关系信息集成表达的实现方法，通过实验例证了所提方法的可行性。

关键词: 空间关系, 集成表达, 拓扑关系, 方向关系, 距离关系