三维方位关系的定性描述与定性推理

Qualitative Description and Reasoning of 3D Directional Relationship

结合定性推理、空间推理与人工智能产生的定性空间推理,已成为人工智能的1个研究热点,是空间关系的重要组成部分,为空间方位关系空间分析、辅助决策等提供了基础。因此,空间方位关系的形式化描述与定性推理非常重要。本文用单纯形数据模型描述三维空间实体,通过研究单纯形间的方向关系研究空间实体间的方向关系。提出采用三元组描述了两空间对象间的三维方位关系,并对该描述方法的定性推理作了详细研究。三维方位关系分为单方位关系与多方位关系,重点研究了单方位关系定性推理,在此基础上分析了多方位关系定性推理与单方位关系定性推理方法的联系,将多方位关系定性推理转化为对多个单方位关系定性的推理。

Combination of qualitative reasoning, spatial reasoning and artificial intelligence generated qualitative spatial reasoning has become a research hotspot of artificial intelligence. As an important component of the spatial relations, spatial relationship provides a basis to spatial analysis and supporting decision-making. Therefore, the qualitative description and reasoning of the spatial relationship are very important. In this paper, simplex data model describes the three-dimensional entity by studying the directional relationship between the simplex to show the relationship between entities. The thesis presents a method of triples to describe the direction relationship between two 3D spatial objects and gives detailed qualitative reasoning of the method. The directional relationship includes single-directional and muhi-di- rectional relationships. It focuses on qualitative reasoning of the single-directional relationship. On this basis, it also an- alyzes the link of relationship between the qualitative reasoning of multi-directional relationship and single-relationship, and transforms qualitative reasoning of multi-directional relationship into that of multilingual single-directional relationship.