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• W2900979684 abstract "A 3D shape of an object is N-fold rotational-symmetric if the shape is invariant for 360/N degree rotations about an axis. Human observers are sensitive to the 2D rotational-symmetry of a retinal image, but they are less sensitive than they are to 2D mirror-symmetry, which involves invariance to reflection across an axis. Note that perception of the mirror-symmetry of a 2D image and a 3D shape has been well studied, where it has been shown that observers are sensitive to the mirror-symmetry of a 3D shape, and that 3D mirror-symmetry plays a critical role in the veridical perception of a 3D shape from its 2D image. On the other hand, the perception of rotational-symmetry, especially 3D rotational-symmetry, has received very little study. In this paper, we derive the geometrical properties of 2D and 3D rotational-symmetry and compare them to the geometrical properties of mirror-symmetry. Then, we discuss perceptual differences between mirror- and rotational symmetry based on this comparison. We found that rotational-symmetry has many geometrical properties that are similar to the geometrical properties of mirror-symmetry, but note that the 2D projection of a 3D rotational-symmetrical shape is more complex computationally than the 2D projection of a 3D mirror-symmetrical shape. This computational difficulty could make the human visual system less sensitive to the rotational-symmetry of a 3D shape than its mirror-symmetry." @default.
• W2900979684 created "2018-11-29" @default.
• W2900979684 creator A5000284903 @default.
• W2900979684 creator A5057757139 @default.
• W2900979684 date "2018-12-01" @default.
• W2900979684 modified "2023-10-13" @default.
• W2900979684 title "Rotational-symmetry in a 3D scene and its 2D image" @default.
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• W2900979684 doi "https://doi.org/10.1016/j.jmp.2018.10.001" @default.
• W2900979684 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6591714" @default.
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• W2900979684 hasPublicationYear "2018" @default.
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