Orientation Maps in V1 and Non-Euclidean Geometry
@article{Afgoustidis2015OrientationMI, title={Orientation Maps in V1 and Non-Euclidean Geometry}, author={Alexandre Afgoustidis}, journal={Journal of Mathematical Neuroscience}, year={2015}, volume={5} }
In the primary visual cortex, the processing of information uses the distribution of orientations in the visual input: neurons react to some orientations in the stimulus more than to others. In many species, orientation preference is mapped in a remarkable way on the cortical surface, and this organization of the neural population seems to be important for visual processing. Now, existing models for the geometry and development of orientation preference maps in higher mammals make a crucial use… Expand
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References
SHOWING 1-10 OF 92 REFERENCES
Monochromaticity of Orientation Maps in V1 Implies Minimum Variance for Hypercolumn Size
- Mathematics, Medicine
- Journal of mathematical neuroscience
- 2015
- 6
Hyperbolic Planforms in Relation to Visual Edges and Textures Perception
- Mathematics, Physics
- PLoS Comput. Biol.
- 2009
- 52
- PDF
Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patterns
- Computer Science, Medicine
- Nature
- 1991
- 812
Design Principles of Columnar Organization in Visual Cortex
- Mathematics, Computer Science
- Neural Computation
- 1994
- 36
- PDF
The Coordinated Mapping of Visual Space and Response Features in Visual Cortex
- Computer Science, Medicine
- Neuron
- 2005
- 114
- PDF
Universality in the Evolution of Orientation Columns in the Visual Cortex
- Medicine, Biology
- Science
- 2010
- 147
- Highly Influential
- PDF
A model for the formation of orientation columns
- Mathematics, Medicine
- Proceedings of the Royal Society of London. Series B. Biological Sciences
- 1982
- 158
Spontaneous pinwheel annihilation during visual development
- Physics, Medicine
- Nature
- 1998
- 123
- Highly Influential