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A group model of form recognition under plane similarity transformations

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Publication:580244
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DOI10.1016/0022-2496(87)90019-8zbMath0625.92024OpenAlexW2059580411MaRDI QIDQ580244

Mou-Ta Chen, Kathleen C. Chen

Publication date: 1987

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-2496(87)90019-8


zbMATH Keywords

dihedral groupnormal subgroupscyclic groupreaction timedirect similarity groupform recognitionplane similarity group


Mathematics Subject Classification ID

Geometric group theory (20F65) Mathematical psychology (91E99) Linear algebraic groups and related topics (20G99)


Related Items

A mental space similarity group model of shape constancy. ⋮ Global invariants of paths and curves for the group of all linear similarities in the two-dimensional Euclidean space ⋮ Identifications of paths and curves under the plane similarity transformations and their applications to mechanics



Cites Work

  • A theory of information structure I. General principles
  • A theory of information structure. II. A theory of perceptual organization
  • The prediction of interactions between visual forms by products of Lie operators
  • A transformational analysis of form recognition under plane isometries
  • The Lie algebra of visual perception
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