Shrinking Bouma's window: How to model crowding in dense displays

Alban Bornet, Adrien Doerig, Michael H. Herzog, Gregory Francis, Erik Van der Burg

Abstract: Author summary To understand human vision, psychophysical research usually focuses on simple stimuli. Vision is often described as a cascade of feed-forward computations in which local feature detectors pool information along the processing hierarchy to form complex and abstract features. Crowding can be modelled within this framework by the pooling of information from one processing stage to the next. This naturally explains Bouma’s law, a hallmark of crowding according to which only elements within a certain region, often proposed to be half the target eccentricity, interfere with the target. However, pooling models are strongly challenged by recent experimental results, because Bouma’s law does not hold for more complex stimuli. Visual elements far beyond Bouma’s window can increase or alleviate crowding. In addition, Van der Burg and colleagues showed that only the nearest neighbours interfere with the target in dense displays. Hence, Bouma’s window can shrink too. Here, we aimed at modelling the range of crowding in dense displays. From previous studies, we know that visual crowding cannot be explained without grouping and segmentation. We compared the performance of different models of vision to the human data of Van der Burg and colleagues. We found that all models based on the traditional pooling framework of vision failed to reproduce the human data, whereas all models that included grouping and segmentation processes were successful in this respect. We concluded that grouping and segmentation processes naturally and consistently explain the difference between simple and complex displays in vision paradigms.