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      The Binding Ring Illusion: assimilation affects the perceived size of a circular array

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          Abstract

          Our perception of an object’s size arises from the integration of multiple sources of visual information including retinal size, perceived distance and its size relative to other objects in the visual field. This constructive process is revealed through a number of classic size illusions such as the Delboeuf Illusion, the Ebbinghaus Illusion and others illustrating size constancy. Here we present a novel variant of the Delbouef and Ebbinghaus size illusions that we have named the Binding Ring Illusion. The illusion is such that the perceived size of a circular array of elements is underestimated when superimposed by a circular contour – a binding ring – and overestimated when the binding ring slightly exceeds the overall size of the array. Here we characterize the stimulus conditions that lead to the illusion, and the perceptual principles that underlie it. Our findings indicate that the perceived size of an array is susceptible to the assimilation of an explicitly defined superimposed contour. Our results also indicate that the assimilation process takes place at a relatively high level in the visual processing stream, after different spatial frequencies have been integrated and global shape has been constructed. We hypothesize that the Binding Ring Illusion arises due to the fact that the size of an array of elements is not explicitly defined and therefore can be influenced (through a process of assimilation) by the presence of a superimposed object that does have an explicit size.

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          Most cited references14

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          Top-down predictions in the cognitive brain.

          The human brain is not a passive organ simply waiting to be activated by external stimuli. Instead, we propose that the brain continuously employs memory of past experiences to interpret sensory information and predict the immediately relevant future. The basic elements of this proposal include analogical mapping, associative representations and the generation of predictions. This review concentrates on visual recognition as the model system for developing and testing ideas about the role and mechanisms of top-down predictions in the brain. We cover relevant behavioral, computational and neural aspects, explore links to emotion and action preparation, and consider clinical implications for schizophrenia and dyslexia. We then discuss the extension of the general principles of this proposal to other cognitive domains.
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            The roles of inducer size and distance in the Ebbinghaus illusion (Titchener circles).

            Although the Ebbinghaus illusion is commonly used as an example of a simple size-contrast effect, previous studies have emphasised its complexity by identifying many factors that potentially influence the magnitude of the illusion. Here, in a series of three experiments, we attempt to simplify this complexity. In each trial, subjects saw a display comprising, on one side, a target stimulus surrounded by inducers and, on the other, an isolated probe stimulus. Their task was to indicate whether the probe appeared larger or smaller than the target. Probe size was adjusted with a one-up, one-down staircase procedure to find the point of subjective equality between probe and target. From these experiments, we argue that the apparent effects of inducer size are often confounded by the relative completeness of the inducing surround and that factors such as the similarity of the inducers and target are secondary. We suggest a simple model that can explain most of the data in terms of just two primary and independent factors: the relative size of the inducers and target, and the distance between the inducers and the target. The balance between these two factors determines whether the size of the target is underestimated or overestimated.
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              Principles of perceptual organization and spatial distortion: the gestalt illusions.

              In five interleaved experiments, conducted with 94 observers, it is shown that organization of the visual field according to gestalt principles results in measurable spatial distortions. Using the principles of proximity, similarity, good continuation, and two types of closure, it was found that interior distances (within a perceptual unit or group) are underestimated relative to exterior distances. The relationship between these spatial distortions and the resultant perceptual organization are discussed.
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                Author and article information

                Journal
                F1000Res
                F1000Res
                F1000Research
                F1000Research
                F1000Research (London, UK )
                2046-1402
                25 April 2013
                2013
                : 2
                : 58
                Affiliations
                [1 ]Department of Psychology, University of Nevada Reno, Reno, NV, 89557, USA
                [1 ]Laboratory of Experimental Psychology, Department of Psychology, University of Belgrade, Belgrade, Serbia
                [1 ]Department of Psychological Brain Sciences, Dartmouth College, Hanover, NH, USA
                [1 ]Developmental and Cognitive Neuroscience Lab, Department of General Psychology, University of Padua, Padua, Italy
                [1 ]Developmental and Cognitive Neuroscience Lab, Department of General Psychology, University of Padua, Padua, Italy
                [1 ]Laboratory of Experimental Psychology, Department of Psychology, University of Belgrade, Belgrade, Serbia
                [1 ]Department of Psychological Brain Sciences, Dartmouth College, Hanover, NH, USA
                Author notes

                Dan McCarthy contributed to the theoretical foundation, experimental design, data analysis and writing of the manuscript Colin Kupitz contributed to the experimental design, implementation, data collection, data analysis and writing of the manuscript Gideon Caplovitz contributed to the theoretical foundation, experimental design and writing of the manuscript.

                Competing interests: No competing interests were disclosed.

                Competing interests: No competing interests were disclosed.

                Competing interests: No competing interests were disclosed.

                Competing interests: No competing interests were disclosed.

                Competing interests: No competing interests were disclosed.

                Competing interests: No competing interests were disclosed.

                Competing interests: No competing interests were disclosed.

                Article
                10.12688/f1000research.2-58.v2
                3901510
                24555042
                141eefbf-1b11-4c5f-8160-05d63e0f448c
                Copyright: © 2013 McCarthy JD et al.

                This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

                Data associated with the article are available under the terms of the Creative Commons Zero "No rights reserved" data waiver (CC0 1.0 Public domain dedication).

                History
                : 19 April 2013
                Funding
                Funded by: National Institutes of Health
                Award ID: 1P20GM103650-01
                Award ID: 1R15EY022775
                Institutional Development Award (IDeA) from the National Institute of General Medical Sciences of the National Institutes of Health under grant number 1P20GM103650-01 and a grant from the National Eye Institute of the National Institutes of Health: 1R15EY022775.
                The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Articles
                Cognitive Neuroscience
                Sensory Systems

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