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Fuzzy Geometric Relations to Represent Hierarchical Spatial Information

机译:模糊几何关系表示层次空间信息

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A model to represent spatial information is presented in this paper. It is based on fuzzy constraints represented as fuzzy geometric relations that can be hierarchically structured. The concept of spatial template is introduced to capture the idea of interrelated objects in two-dimensional space. The representation model is used to specify imprecise or vague information consisting in relative locations and orientations of template objects. It is shown in this paper how a template represented by this model can be matched against a crisp situation to recognize a particular instance of this template. Furthermore, the proximity measure (fuzzy measure) between the instance and the template is worked out -this measure can be interpreted as a degree of similarity. In this context, template recognition can be viewed as a case of fuzzy pattern recognition. The results of this work have been implemented and applied to a complex military problem from which this work originated.
机译:本文提出了一种表示空间信息的模型。它基于表示为可分层构造的模糊几何关系的模糊约束。引入空间模板的概念来捕获二维空间中相互关联的对象的想法。表示模型用于指定由模板对象的相对位置和方向组成的不精确或模糊的信息。本文显示了如何将该模型表示的模板与清晰的情况进行匹配,以识别该模板的特定实例。此外,可以算出实例与模板之间的接近度(模糊度),该度可以解释为相似度。在这种情况下,可以将模板识别视为模糊模式识别的一种情况。这项工作的结果已得到实施,并已应用于该工作起源的一个复杂的军事问题。

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