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Multi-Scale Qualitative Location: A Topology-Based Model

机译：多尺度定性位置：基于拓扑的模型

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摘要

Qualitative locations describe spatial objects by relating the spatial objects to a frame of reference (e.g. a regional partition in this study) with qualitative relations. Existing models only formalize spatial objects, frames of reference, and their relations at one scale, thus limiting their applicability in representing location changes of spatial objects across scales. A topology-based, multi-scale qualitative location model is proposed to represent the associations of multiple representations of the same objects with respect to the frames of reference at different levels. Multi-scale regional partitions are first presented to be the frames of reference at multiple levels of scale. Multi-scale locations are then formalized to relate multiple representations of the same objects to the multiple frames of reference by topological relations. Since spatial objects, frames of reference, and topological relations in qualitative locations are scale dependent, scale transformation approaches are presented to derive possible coarse locations from detailed locations by incorporating polygon merging, polygon-to-line and polygon-to-point operators.
机译：定性位置通过将空间对象与具有定性关系的参照系（例如，本研究中的区域划分）相关联来描述空间对象。现有模型仅将空间对象，参考系及其关系以一种比例尺形式化，从而限制了它们在表示空间对象跨比例变化时的适用性。提出了一种基于拓扑的多尺度定性位置模型，以表示同一对象的多个表示相对于不同级别的参照系的关联。首先将多尺度区域划分作为多个尺度级别的参考框架。然后将多尺度位置形式化，以通过拓扑关系将同一对象的多个表示与多个参考系相关联。由于定性位置中的空间对象，参考系和拓扑关系与比例有关，因此提出了比例转换方法，通过合并多边形合并，多边形到线和多边形到点算子，从详细位置中得出可能的粗略位置。

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