Next Article in Journal
A Review of Unsupervised Keyphrase Extraction Methods Using Within-Collection Resources
Next Article in Special Issue
Visual Awareness Is Essential for Grouping Based on Mirror Symmetry
Previous Article in Journal
A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind
Previous Article in Special Issue
Symmetry Modulates the Amplitude Spectrum Slope Effect on Visual Preference
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
Keywords: centro-symmetry; rotational symmetry; invariant; visual perception; 3D symmetry; 3D recovery centro-symmetry; rotational symmetry; invariant; visual perception; 3D symmetry; 3D recovery
Show Figures

Figure 1

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

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop