The mathematics of mental rotations

DOI10.1016/0022-2496(90)90022-2zbMath0707.92025OpenAlexW2101448234MaRDI QIDQ920057

R. Patrick Goebel

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-2496(90)90022-2

zbMATH Keywords

dynamics of linear recurrent connectionist networksgenerators for infinitesimal rotationsmental rotationsparallel distributed processing architecturestructure of rotations

Mathematics Subject Classification ID

Computing methodologies and applications (68U99) Psychophysics and psychophysiology; perception (91E30)

Related Items (4)

AI, visual imagery, and a case study on the challenges posed by human intelligence tests ⋮ The golden mean as clock cycle of brain waves ⋮ Psychologically simple motions as geodesic paths. I: Asymmetric objects ⋮ Psycholocially simple motions as geodesic paths. II: Symmetric objects

Cites Work

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• Self-organization and associative memory
• Connection between internal representation of rigid transformation and cortical activity paths
• Visual apparent motion and some preferred paths in the rotation group SO(3)
• Psychologically simple motions as geodesic paths. I: Asymmetric objects
• The Lie algebra of visual perception
• Higher visual perception as prolongation of the basic Lie transformation group
• The neuron as a Lie group germ and a Lie product

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