王生生 刘 杰 王新颖 刘大有. 混合维拓扑和尺寸关系的定性空间推理[J]. 计算机研究与发展, 2009, 46(7): 1169-1175.
 引用本文: 王生生 刘 杰 王新颖 刘大有. 混合维拓扑和尺寸关系的定性空间推理[J]. 计算机研究与发展, 2009, 46(7): 1169-1175.
Wang Shengsheng, Liu Jie, Wang Xinying, and Liu Dayou. Qualitative Spatial Reasoning for Multi-Dimensional Topology and Size Relations[J]. Journal of Computer Research and Development, 2009, 46(7): 1169-1175.
 Citation: Wang Shengsheng, Liu Jie, Wang Xinying, and Liu Dayou. Qualitative Spatial Reasoning for Multi-Dimensional Topology and Size Relations[J]. Journal of Computer Research and Development, 2009, 46(7): 1169-1175.

## Qualitative Spatial Reasoning for Multi-Dimensional Topology and Size Relations

• 摘要: 定性空间推理(QSR)研究空间关系，多数工作集中在单维空间关系，但在地理信息系统(GIS)中多维对象很常见.混合维对象空间关系是指点、线和区域3类对象出现在同一场景的情况，该类问题对定性空间推理研究有着重要的理论意义和应用价值，但这方面的研究工作还比较少.在已有的混合维区域连接演算的基础上进行完善，提出了MRCC5混合维拓扑模型，并研究了其上约束满足推理问题的复杂度.对定性尺寸关系进行了混合维扩展，给出了MDS模型，进而研究了其推理问题.在以上工作基础上，提出了RCC5和MDS的结合模型，给出并分析了结合模型的推理算法.将定性空间推理相关研究推广到混合维领域，深入研究了混合维拓扑关系推理，提出了混合维尺寸以及混合维拓扑尺寸结合模型.

Abstract: Qualitative spatial reasoning (QSR) studies the spatial relations of objects in the space. Most QSR research work aims at the spatial relations between single dimensional objects (i.e. region-region relation or line-line relation). Spatial relation of multi-dimensional objects is the situation that point, line and region objects appear in one scene at the same time. Spatial relation of multi-dimensional objects is very common in geographical information systems (GIS). Qualitative spatial relation of multi-dimensional objects has very important theoretical meaning and practical value, but very few work in QSR was focused on it before. By improving the previous research on multi-dimensional region connection calculus model, a multi-dimensional topological model (i.e. MRCC5) is given, and the complexity of its constraints satisfaction problem is studied. The multi-dimensional extension of qualitative size relation called MDS model is proposed, its reasoning problem is also investigated. Based on the above work, a model which combines RCC5 and MDS is proposed, so does its reasoning algorithm. This work extends the related work in qualitative spatial reasoning to the multi-dimensional field. The reasoning of multi-dimensional topological relation is improved. It is the first time that multi-dimensional size relation model and relation model integrating topology and size are studied.

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