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The Poggendorff illusion: Amputations, rotations, and other perturbations

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Abstract

Studies of the Poggendorff illusion (a transversal interrupted by parallel lines) showed that illusory effects increased linearly with increasing separation between the parallels, increased in inverse proportion to the tangent of the angle of intersection between transversal and parallels, decreased whenever line segments (other than a transversal segment) were omitted, decreasing to zero when the segment of a parallel forming the obtuse angle with the transversal was omitted, and varied systematically with the tilt of the whole display, approaching zero when the transversal was oriented in a horizontal or vertical position. Hypothesis: The Poggendorff illusion involves at least three kinds of effects on the perceived orientation of a segment: distortion by other segments (especially a segment intersecting at an obtuse angle), stability of vertical and Horizontal orientations, and assimilation towards vertical or horizontal.

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References

  • CHIANG, C. A new theory to explain geometrical illusions produced by crossing lines. Perception & Psychophysics, 1968, 3, 174–176.

    Article  Google Scholar 

  • CORNSWEET, T. N. The stair-case method in psychophysics. American Journal of Psychology, 1962, 75, 485–491.

    Article  PubMed  Google Scholar 

  • DEUTSCH, J. A. Neurophysiological contrast phenomena and figurai aftereffects. Psychological Review, 1964, 71, 19–26.

    Article  PubMed  Google Scholar 

  • DIXON, W. J., & MASSEY, F. J.Introduction to statistical analysis. (2nded.) New York: McGraw-Hill, 1957.

    Google Scholar 

  • GANZ, L. Mechanism of the figurai aftereffects. Psychological Review, 1966, 73, 128–150.

    Article  PubMed  Google Scholar 

  • GREEN, R. T., & HOYLE, E. M. The influence of spatial orientation on the Poggendorff illusion. Acta Psychologica, 1964, 22, 348–366.

    Article  PubMed  Google Scholar 

  • KAPPAUF, W. E. Empirical modifications in the up-and-down method and its estimates of μ and σ. Report No. 2, Grant NB-05576-01, Department of Health, Education and Welfare, May 16, 1967.

  • KAPPAUF, W. E. An empirical sampling study of the Dixon and Mood statistics for the up-and-down method of sensitivity testing. American Journal of Psychology, 1969, 82, 40–55.

    Article  Google Scholar 

  • LEIBOWITZ, H., & TOFFEY, S. The effect of rotation and tilt on the magnitude of the Poggendorff illusion. Vision Research, 1966, 6, 101–103.

    Article  PubMed  Google Scholar 

  • OBONAI, T. Experimentelle Untersuchungen über den Aufbau des Sehraumes. Archiv für die gesamte Psychologie, 1931, 82, 308–328. (Discussed by Obonai, T., Japanese studies on the so-called geometrical-optical illusions. Psychologia, 1960, 3, 7-20).

    Google Scholar 

  • OVER, R. Explanations of geometrical illusions. Psychological Bulletin, 1968, 70, 545–562.

    Article  PubMed  Google Scholar 

  • OYAMA, T. The effect of hue and brightness on the size illusion of concentric circles. American Journal of Psychology, 1962, 75, 45–55.

    Article  PubMed  Google Scholar 

  • RESTLE, F. Illusions of bent line. Perception & Psychophysics, 1969, 5, 273–274.

    Article  Google Scholar 

  • WEINTRAUB, D. J., WILSON, B. A., GREENE, R. D., & PALMQUIST, M. J. Delboeuf illusion: Displacement versus diameter, arc deletions, and brightness contrast. Journal of Experimental Psychology, 1969, 80, 503–511.

    Article  Google Scholar 

  • WEINTRAUB, D. J., & VIRSU, V. The misperception of angles: Estimating the vertex of converging line segments. Perception & Psychophysics, 1971, 9, 5–8.

    Article  Google Scholar 

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We thank Anita Caplan, Lillian Tong, and Jack Loomis for serving as Es and offering many insights, suggestions, and criticisms. The investigators were supported in part by a United States Public Health Service Research Scientist Development Award (K2-MH-35.253) to the first author from the National Institute of Mental Health. Research funds were provided by National Science Foundation Grants GB3110, GB4947, GB8181, and the University of Michigan’s Biomedical Sciences Institutional Support Grant PHS FR 07050-03.

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Weintraub, D.J., Krantz, D.H. The Poggendorff illusion: Amputations, rotations, and other perturbations. Perception & Psychophysics 10, 257–264 (1971). https://doi.org/10.3758/BF03212818

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  • DOI: https://doi.org/10.3758/BF03212818

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