A Geometry for Places: Representing Extension and Extended Objects
A Geometry for Places: Representing Extension and Extended Objects
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场所几何：表示扩展和扩展对象
DOI：
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发表时间：
2003
期刊：
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通讯作者：
H. Schmidtke
中科院分区：
文献类型：
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作者：
H. Schmidtke
本文提出了一种定性的基于区域的可拓表示方法。一个有关联和有序的几何学被作为基础来表征扩展的概念，扩展的概念建立在某些区域（称为地方）的同余上，这些区域在所有方向上都有相等的扩展。区域扩展的概念来自于地方的大小，而不是像经典几何那样来自于点之间的距离，并由大小间隔表示。然后推导出颗粒或尺度特定的空间背景和区域局部扩展的几何规格。相对于空间上下文的扩展用于形式化地指定对象区域可以被分类的条件，例如在上下文中被分类为准时的、线性的或平面的。
The article presents a qualitative region-based approach to the representation of extension. A geometry of incidence and ordering is taken as a basis to characterize the concept of extension founded on the congruence of certain regions (called places) which have equal extension into all directions. The notion of extension of regions is derived from the sizes of places—not from the distance between points as in classical geometry—and represented by size intervals. A geometric specification of granular or scale-specific spatial contexts and of the local extension of a region is then derived. Extension relative to a spatial context is used to formally specify conditions under which object regions can be classified e.g. as punctual, linear, or planar in the context.