Subjective Contours and the Hering Illusion

April 1997

Derek Warner In%"99Warner@alma.edu"

Carrie Schuler In%"99Schuler@alma.edu"


Eighteen Alma College students adjusted two parallel lines on the computer screen to match the appearance of four different versions of the Hering Illusion. The difference in each illusion was the location of the endpoints of the radial lines. By varying the location of these endpoints we produced subjective lines which are displayed in Figure 1. The results showed the lowest mean error occurred in the trial where the subjective concave line was formed in relationship to the parallel lines. This may be because the concave subjective lines cancel the convex appearance of the parallel lines in the Hering Illusion.

The Hering Illusion has not been widely studied in recent years. Coren (1970) investigated the role of lateral inhibition. A.W. Pressey (1971) experimented with the acute angles formed by the radial lines. He showed that when dots are placed where the solid line had been, the illusion still remaines. A different factor which may be important is the end points of the radial lines. Of particular interest are the subjective contour lines formed by the end points. By adjusting the lengths of the radial lines, we can control the shape of this contour. We hypothesized that parallel contours would elicit a greater perception of curvature in the illusion.

Methods:The subjects used were eighteen Alma College students. The stimuli were presented to the subjects on a computer screen using the Eye Lines software created by Dr. Walter Beagley. There were four different stimuli presented to each subject. In trial 1 the end points of the radial lines formed convex subjective lines. In trial 2 the end points of the radial lines formed parallel subjective lines. In trial 3 the end points of the radial lines formed concave subjective lines. In trial 4 the end points of the radial lines form no subjective lines. The subjects were instructed to adjust two parallel lines below each stimuli so they appeared to have the same curvature as those parallel lines in the illusion. The Eye Lines program measured the differences in adjustment. Refer to Figure 1 for representatives of stimuli used.

Figure1: stimuli used

Results:The convex, parallel, and variable stimuli all produced similarly large amounts of perceived curvature. The concave stimulus produced significantly less. Figure 2 shows these results in terms of maximum adjusted displacement.

Discussion: With similar results from the convex, parallel, and variable subjective line stimuli we concluded, in this experiment, these were not substantial determinants of the Hering Illusion. The stimuli which produced the least amount of perceived curvature was the concave subjective line contour. We have attributed this decrease in perceived curvature in the Hering Illusion to the cancelling effect of the concave subjective lines. We suggest because the radial lines in each stimulus were of the same origin and the acute angles formed by the radial lines were the same, the end points of the radial lines which formed the subjective contours contributed to the results.

References:

A.W. Pressey. (1971) An Extension of the Assimilation Theory to Illusions of Size, Area, and Direction. Perception & Psychophysics 9, 172-176.

Coren, S. (1970) "Lateral Inhibition and the Wundt-Hering Illusion." Psychonomic Science 18, 341.

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