Symmetry Considerations in Cortical Maps
Mehran Kardar
Ha Youn Lee & Mehdi Yahyanejad
I.
The Visual System
Neural Pathways
Receptive Fields
Optical Imaging
II.
Modeling Patterns in Cortical Maps
Perspectives
Evolving Fields
Pinwheels & Coarsening
III.
Symmetry Considerations
Evolution Equations
Full or Joint Rotation?
Density of Pinwheels
Steady States
IV.
Statistics of Cortical Maps
Histograms of Orientations
Maps of Cat
Maps of Monkey
V.
'Transversality' of Natural Images
Lines in Natural Images
Transverse & Longitudinal Powers
Lines in Circle-Land
VI.
Harversting Visual Information
Lateral Connections in V1
Optimal Filters for Orientations
Audio-Visual cortex of the Barn Owl
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Outline