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Title of Journal: J Stat Phys

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Abbravation: Journal of Statistical Physics

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Kluwer Academic Publishers-Plenum Publishers

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DOI

10.1007/978-3-540-45200-3_22

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1572-9613

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Patterns and Symmetries in the Visual Cortex and i

Authors: Ha Youn Lee Mehran Kardar
Publish Date: 2006/05/03
Volume: 125, Issue: 5-6, Pages: 1243-1266
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Abstract

As borders between different entities lines are an important element of natural images Indeed the neurons of the mammalian visual cortex are tuned to respond best to lines of a given orientation This preferred orientation varies continuously across most of the cortex but also has vortexlike singularities known as pinwheels In attempting to describe such patterns of orientation preference we are led to consider underlying rotation symmetries Oriented segments in natural images tend to be collinear neurons are more likely to be connected if their preferred orientations are aligned to their topographic separation These are indications of a reduced symmetry requiring joint rotations of both orientation preference and the underlying topography This is verified by direct statistical tests in both natural images and in cortical maps Using the statistics of natural scenes we construct filters that are best suited to extracting information from such images and find qualitative similarities to mammalian vision

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  2. Probabilistic Cellular Automata for Low-Temperature 2-d Ising Model
  3. Random Birth-and-Death Networks
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  10. Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
  11. Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
  12. New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis
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  14. Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory
  15. Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics
  16. Ground State Energy of the One-Dimensional Discrete Random Schrödinger Operator with Bernoulli Potential
  17. A Pearson Random Walk with Steps of Uniform Orientation and Dirichlet Distributed Lengths
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