Skip to main content

Depth effect from a rotating line of constant length

Abstract

When a straight line is slowly rotated in the frontoparallel plane, subjects report seeing a compelling depth effect. The line appears slanted into 3-D space, with its end parts located at different distances from the observer and describing a sort of circular trajectory with respect to the frontal plane. As a result of this depth effect, the line appears longer than when it is located on the frontal plane, and the perceived length depends on the amount of tilt perceived. An explanation of this effect is presented, based on the hypothesis that the visual system minimizes differences in linear velocities in the 2-D velocity field. The results of an experiment in which subjects were required to evaluate the length of the tilting line were in close agreement with the expected values computed on the basis of the model. The results are discussed in relation to current theories of visual perception of structure from motion.

References

  • Braunstein, M. L., &Andersen, G. J. (1984). A counterexample to the rigidity assumption in the visual perception of structure-frommotion.Perception,13, 213–217.

    Article  PubMed  Google Scholar 

  • Bressan, P., &Valwrtlgara, G. (1986). Multiple 3-D interpretations in a classic stereokinetic effect.Perception,15, 405–408.

    Article  PubMed  Google Scholar 

  • Bressan P., &Vallortigara, G. (1987). Learning to see stereokinetic effects.Perception,16, 187–192.

    Article  PubMed  Google Scholar 

  • Cutting, J. E. (1987). Perception and information.Annual Review of Psychology,38, 61–90.

    Article  PubMed  Google Scholar 

  • Cutting, J. E., &Proffitt, D. R. (1982). The minimum principle and the perception of absolute, common and relative motions.Cognitive Psychology,14, 211–246.

    Article  PubMed  Google Scholar 

  • Duncker, K. (1929). Über induzierte Bewegung. Ein Beitrag zur Theorie optischen wahrgenommer Bewegung.Psychologische Forschung,12, 159–180.

    Article  Google Scholar 

  • Hatfiew, G., &Epstein, W. (1985). The status of the minimum principle in the theoretical analysis of visual perception.Psychological Bulletin,97, 155–186.

    Article  Google Scholar 

  • Johansson, G. (1950).Configurations in event perception. Uppsala, Sweden: Almqvist & Wiksell.

    Google Scholar 

  • Johansson, G. (1974). Vector analysis in visual perception of rolling motion: A quantitative approach.Psychologische Forschung,36, 311–319.

    Article  PubMed  Google Scholar 

  • Johansson, G., &Jansson, G. (1968). Perceived rotary motion from changes in a straight line.Perception &Psychophysics,4, 165–170.

    Google Scholar 

  • Johansson, G., Von Hofsten, C., &Jansson, G. (1980). Event perception.Annual Review of Psychology,31, 27–63.

    Article  PubMed  Google Scholar 

  • Koffka, K. (1935).Principles of Gestalt psychology, New York; Harcourt Brace.

    Google Scholar 

  • Künnapas, T. M. (1957). The vertical-horizontal illusion and the visual field.Journal of Experimental Psychology;53, 405–407.

    Article  PubMed  Google Scholar 

  • Mefferd, R. B., &Wieland, B. A. (1967). Perception of depth in rotating objects: 1. Stereokinesis and the vertical-horizontal illusion.Perceptual & Motor Skills,25, 93–100.

    Google Scholar 

  • Metelli, F. (1940). Ricerche sperirnentali sulla percezione del movirnento.Rivista di Psicologia,36, 319–370.

    Google Scholar 

  • Movshon, J. A., Adelson, E. H., Gizzi, M. S., &Newsome, W. T. (1983). The analysis of moving visual patterns. In C. Chagras, R. Gattas, & C. Gross (Eds.),Pattern recognition mechanisms (pp. 117–151). Rome: Pontificia Accademia Scientarum.

    Google Scholar 

  • Musatti, C. L. (1924). Sui fenomeni stereocinetici.Archivio Italiano di Psicologia,3, 105–120.

    Google Scholar 

  • Musatti, C. L. (1928). Sui movirnenti apparenti dovuti ad illusione di identità di figura.Archivio di Psicologia,6, 205–219.

    Google Scholar 

  • Musatti, C. L. (1955). La stereocinesi e la struttura dello spazio visibile.Rivista di Psicologia,49, 3–57.

    Google Scholar 

  • Pomerantz, J. R. (1983). The rubber pencil illusion.Perception & Psychophysics,33, 365–368.

    Google Scholar 

  • Proffitt, D. R., &Cutting, J. E. (1980). An invariant for wheelgenerated motions and the logic of its determination.Perception,9, 435–449.

    Article  PubMed  Google Scholar 

  • Renvall, P. (1929). Zur theorie des stereokinetischen Phänomens.Annales Universitatis Aboensis, Series B,10, 13–75.

    Google Scholar 

  • Rubin, E. (1927). Visuelle wahrgenommene wirkliche Bewegungen.Zeitschrift für Psychologie,103, 384–392.

    Google Scholar 

  • Schwartz, B. J., &Sperling, G. (1983). Luminance controls the perceived 3-D structure of dynamic 2-D displays.Bulletin of the Psychonomic Society,21, 456–458.

    Google Scholar 

  • Tauber, E. E.S., &Kaufman, L. (1977). Fixation and the stereokinetic phenomenon.Perception & Psychophysics,22, 241–244.

    Article  Google Scholar 

  • Ullman, S. (1979).The interpretation of visual motion. Cambridge, MA: MIT Press.

    Google Scholar 

  • Ullman, S. (1984a). Maximizing rigidity: The incremental recovery of 3-D structure from rigid and non-rigid motion.Perception,13, 255–274.

    Article  PubMed  Google Scholar 

  • Ullman, S. (1984b). Rigidity and misperceived motion.Perception,13, 218–219.

    Google Scholar 

  • Ullman, S. (1986). Competence, performance and the rigidity assumption.Perception,15, 644–646.

    Google Scholar 

  • Valwrtigara, G., Bressan, P., &Zanforun, M. (1986).The Saturn illusion: A new stereokinetic effect.Vision Research,26, 811–813.

    Article  Google Scholar 

  • Wallach, H., &O’connell, D. N. (1953). The kinetic depth effect.Journal of Experimental Psychology,45, 205–217.

    Article  PubMed  Google Scholar 

  • Wallach, H., Weisz, A., &Adams, P. A. (1956). Circles and derived figures in rotation.American Journal of Psychology,69, 48–59.

    Article  PubMed  Google Scholar 

  • Wilson, J. A., Robinson, J. O., &Piggins, D. S. (1983). Wobble cones and wobble holes: The stereokinetic effect revisited.Perception,12, 187–193.

    Article  PubMed  Google Scholar 

  • Zanforlin, M. (1977a). La determinazione teorica dell’altezza del cono stereocinetico di Musatti.Ani e Memorie dell’Academia Pasavina di Scienze, Lettere ed Ani,99, 33–46.

    Google Scholar 

  • Zanforlin, M. (1987b). The height of Musatti’s stereokinetic cone.Fourth International Conference on Event Perception and Action. August 24–28, 1987, Trieste.

  • Zanforlin, M. (in press). The height of a stereokinetic cone: A quantitative determination of a 3D effect from 2D moving patterns without a “rigidity assumption.”Psychological Research.

Download references

Author information

Affiliations

Authors

Additional information

This research was supported by C.N.R. Grant 86.00596.04.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Zanforlin, M., Vallortigara, G. Depth effect from a rotating line of constant length. Perception & Psychophysics 44, 493–499 (1988). https://doi.org/10.3758/BF03210435

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.3758/BF03210435

Keywords

  • Extreme Point
  • Frontal Plane
  • Linear Velocity
  • Line Length
  • Minimization Process