中文摘要：

在分析总结前人研究成果的基础上,研究了复杂对象之间的空间方位关系,提出了基于Voronoi图的空间方位关系的推理模型,并详细论述了该模型的算法实现过程及步骤.实例计算表明该模型是正确和有效的.模型无需区分源目标与参考目标,具有自反性,不受对象的形状、大小、位置和距离等的影响,容易与基于Voronoi图的空间拓扑关系的相关理论结合,形成统一的推理模型.

英文摘要：

Spatial relationships between complex spatial objects are studied on the basis of past research achievements. A reasoning model based on the spatial direction relationships of Voronoi diagrams is presented and its algorithm and processes are described in detail. It is demonstrated from a case study that the model is practical, accurate and valid. This model, in which the source object and reference object don＇t have to be distinguished, is reflexive and is not influenced by the shape, size, location or distance of objects. It is easy to combine the model with a topology model based on a Voronoi diagram and form a uniform reasoning model.