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Sawada T, Farshchi M. Visual detection of 3D mirror-symmetry and 3D rotational-symmetry. VISUAL COGNITION 2022. [DOI: 10.1080/13506285.2022.2139314] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- T. Sawada
- School of Psychology, HSE University, Moscow, Russian Federation
- Akian College of Science and Engineering, American University of Armenia, Yerevan, Armenia
| | - M. Farshchi
- School of Psychology, HSE University, Moscow, Russian Federation
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Abstract
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.
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Factors Affecting the Perception of 3D Facial Symmetry from 2D Projections. Symmetry (Basel) 2017. [DOI: 10.3390/sym9100243] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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