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Proximity model of perceived numerosity
Attention, Perception, & Psychophysics ( IF 1.7 ) Pub Date : 2021-04-11 , DOI: 10.3758/s13414-021-02252-x
Jüri Allik , Aire Raidvee

The occupancy model (OM) was proposed to explain how the spatial arrangement of dots in sparse random patterns affects their perceived numerosity. The model’s central thesis maintained that each dot seemingly fills or occupies its surrounding area within a fixed radius ro and the total area collectively occupied by all the dots determines their apparent number. Because the perceptual system is not adapted for the precise estimation of area, it looks likely that the OM is just a convenient computational algorithm that does not necessarily correspond to the processes that actually take place in the perceptual system. As an alternative, the proximity model (PM) was proposed, which instead relies on a binomial function with the probability β characterizing the perceptual salience with which each element can be registered by the perceptual system. It was also assumed that the magnitude of β is proportional to the distance between a dot and its nearest neighbor. A simulation experiment demonstrated that the occupancy area computed according to the OM can almost perfectly be replicated by the mean nearest neighbor distance. It was concluded that proximity between elements is a critical factor in determining their perceived numerosity, but the exact algorithm that is used for the measure of proximities is yet to be established.



中文翻译:

感知数量的接近度模型

提出了占用模型(OM)来解释稀疏随机模式中的点的空间排列如何影响其感知的数字。该模型的中心论点是,每个点似乎都在固定半径r o内填充或占据了其周围区域所有点共同占据的总面积决定了它们的视在数。由于感知系统不适用于面积的精确估计,因此OM似乎只是一种便捷的计算算法,不一定与感知系统中实际发生的过程相对应。作为替代方案,提出了接近模型(PM),该模型依赖于二项式函数,概率β表征了感知显着性,感知元素可以通过该显着性被感知系统记录。还假定β的大小与点与其最近邻点之间的距离成正比。仿真实验表明,根据OM计算的占用面积几乎可以完美地复制为平均最近邻居距离。得出的结论是,元素之间的接近度是确定其感知数量的关键因素,但是尚未建立用于测量接近度的精确算法。

更新日期:2021-04-11
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