Consistency among parts and aggregates: A computational model
Consistency among parts and aggregates: A computational model
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DOI：
10.1111/j.1467-9671.1996.tb00044.x
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发表时间：
1996-06
期刊：
影响因子：
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通讯作者：
N. Tryfona;M. Egenhofer
中科院分区：
文献类型：
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作者：
N. Tryfona;M. Egenhofer
异构地理数据库包含相同地理对象在不同空间分辨率级别上的多个视图。当用户将地理对象视为一个空间单元时，尽管它们在物理上被分成多个部分，但需要适当的方法来评估聚合体和部分之间的一致性。关键的方面是，相对于其他地理对象的整体空间关系必须在整个聚合过程中得到保留。我们开发了一个系统模型，用于当聚合对象的两个部分时必须相对于其他空间对象保持的约束。我们发现了三组需要越来越多的信息才能对它们的一致性做出精确陈述的配置：（1）由两个部分和感兴趣对象之间的拓扑关系满足的配置;（2）需要关于感兴趣对象和连接器之间的拓扑关系的进一步信息才能明确地解决的配置;以及（3）需要关于聚集体的边界与待唯一描述的感兴趣对象的边界或内部之间的拓扑关系的附加信息的配置。形式主义立即延伸到两个区域之间的关系，断开的部分，以及一个区域之间的关系和任意数量的分离。
Heterogeneous geographic databases contain multiple views of the same geographic objects at different levels of spatial resolution. When users perceive geographic objects as one spatial unit, although they are physically separated into multiple parts, appropriate methods are needed to assess the consistency among the aggregate and the parts. The critical aspect is that the overall spatial relationships with respect to other geographic objects must be preserved throughout the aggregation process. We develop a systematic model for the constraints that must hold with respect to other spatial objects when two parts of an object are aggregated. We found three sets of configurations that require increasingly more information in order to make a precise statement about their consistency: (1) configurations that are satisfied by the topological relations between the two parts and the object of interest; (2) configurations that need further information about the topological relation between the object of concern and the connector in order to be resolved unambiguously; and (3) configurations that require additional information about the topological relation between the aggregate’s boundary and the boundary or interior of the object of interest to be uniquely described. The formalism extends immediately to relations between two regions with disconnected parts as well as to relations between a region and an arbitrary number of separations.