ArticleFrontiers in computational neuroscience2021
The Concept of Symmetry and the Theory of Perception.
Article in Frontiers in computational neuroscience, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Principal bundle geometry of qualia: Understanding the quality of consciousness from symmetry.PNAS nexus · 2026Article
- Current status of mathematical foundations of the Gestalt concepts in psychophysics.Journal of vision · 2026Article
- Anisotropy of object nonrigidity: High-level perceptual consequences of cortical anisotropy.bioRxiv : the preprint server for biology · 2025Article
- Low-Level Visual Features of Window Views Contribute to Perceived Naturalness and Mental Health Outcomes.International journal of environmental research and public health · 2024Article
- Are mirror-symmetric objects of special importance for 3D shape perception? A reply to Sawada and Pizlo (2022).Journal of vision · 2022Article
- Inattentive Perception, Time, and the Incomprehensibility of Consciousness.Frontiers in psychology · 2021Article
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Authors and funding
2 authors.
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Abstract
Perceptual constancy refers to the fact that the perceived geometrical and physical characteristics of objects remain constant despite transformations of the objects such as rigid motion. Perceptual constancy is essential in everything we do, like recognition of familiar objects and scenes, planning and executing visual navigation, visuomotor coordination, and many more. Perceptual constancy would not exist without the geometrical and physical permanence of objects: their shape, size, and weight. Formally, perceptual constancy and permanence of objects are invariants, also known in mathematics and physics as symmetries. Symmetries of the Laws of Physics received a central status due to mathematical theorems of Emmy Noether formulated and proved over 100 years ago. These theorems connected symmetries of the physical laws to conservation laws through the least-action principle. We show how Noether's theorem is applied to mirror-symmetrical objects and establishes mental shape representation (perceptual conservation) through the application of a simplicity (least-action) principle. This way, the formalism of Noether's theorem provides a computational explanation of the relation between the physical world and its mental representation.
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