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Related Experiment Video

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Mental geometry of three-dimensional size perception.

Akihito Maruya1, Qasim Zaidi1

  • 1Graduate Center for Vision Research, State University of New York, New York, NY.

Journal of Vision
|August 9, 2020
PubMed
Summary

Humans underestimate object lengths pointing away from them due to projective geometry. Our findings reveal a "slant illusion" where perceived slant impacts length perception, suggesting internalized projective geometry principles.

Area of Science:

  • Cognitive Science
  • Computational Neuroscience
  • Visual Perception

Background:

  • Accurate judgment of object pose, size, and shape is crucial for both biological organisms and artificial systems.
  • The human visual system processes 3D object information from retinal images using principles of projective geometry.
  • Debate exists on whether geometric understanding is innate or learned through experience, with implications for visual perception.

Purpose of the Study:

  • To investigate whether humans exploit projective geometry to estimate 3D shape, focusing on relative lengths and aspect ratios.
  • To examine the constancy of perceived relative size concerning object pose, which alters retinal image size differently along various axes.
  • To quantify the underestimation of length for object extents oriented towards or away from the observer and identify contributing factors.

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Main Methods:

  • Systematic measurement of length perception for static and dynamically rotating objects at varying poses.
  • Development and application of a back-transform model incorporating corrections for projected shortening.
  • Quantification of the slant illusion using two distinct slant matching measurements and dynamic visual demonstrations.

Main Results:

  • Consistent underestimation of object lengths oriented towards or away from the observer was observed.
  • Observers' corrections for projected shortening were found to be multiplicatively inadequate.
  • A 'slant illusion' was identified, where perceived slant significantly influences length perception, often dominating non-rigidity.

Conclusions:

  • Human visual perception inadequately corrects for perspective projection distortions, leading to systematic underestimation of length.
  • The findings suggest humans have internalized aspects of projective geometry, possibly through evolution or learning.
  • The internalization of projective geometry principles may explain the coherence of visual illusions like the Ames chair.