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Article

# Influence of 3D Centro-Symmetry on a 2D Retinal Image

School of Psychology, National Research University Higher School of Economics, 101000 Moscow, Russia
Symmetry 2020, 12(11), 1863; https://doi.org/10.3390/sym12111863
Received: 8 October 2020 / Revised: 7 November 2020 / Accepted: 11 November 2020 / Published: 12 November 2020
(This article belongs to the Special Issue Symmetry of Perception and Behaviour)
An object is 3D centro-symmetrical if the object can be segmented into two halves and the relationship between them can be represented by a combination of reflection about a plane and a rotation through 180° about an axis that is normal to the plane. A 2D orthographic image of the 3D centro-symmetrical object is always 2D rotation-symmetrical. Note that the human visual system is known to be sensitive to 2D rotational symmetry. This human sensitivity to 2D rotational symmetry might also be used to detect 3D centro-symmetry. If it is, can this detection of 3D centro-symmetry be helpful for the perception of 3D? In this study, the geometrical properties of 3D centro-symmetry and its 2D orthographic and perspective projections were examined to find out whether 3D centro-symmetry plays any role in the perception of 3D. I found that, from a theoretical point-of-view, it is unlikely that 3D centro-symmetry can be used by the human visual system to organize a 2D image of an object in a way that makes it possible to recover the 3D shape of an object from its 2D image. View Full-Text
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MDPI and ACS Style

Sawada, T. Influence of 3D Centro-Symmetry on a 2D Retinal Image. Symmetry 2020, 12, 1863. https://doi.org/10.3390/sym12111863

AMA Style

Sawada T. Influence of 3D Centro-Symmetry on a 2D Retinal Image. Symmetry. 2020; 12(11):1863. https://doi.org/10.3390/sym12111863

Chicago/Turabian Style

Sawada, Tadamasa. 2020. "Influence of 3D Centro-Symmetry on a 2D Retinal Image" Symmetry 12, no. 11: 1863. https://doi.org/10.3390/sym12111863

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