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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception.

Peter D Neilson1, Megan D Neilson2, Robin T Bye3

  • 1School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney NSW 2052, Australia.

Vision (Basel, Switzerland)
|November 19, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a Riemannian geometry theory to explain how the human visual system represents space, accounting for visual perception and visuomotor tasks. It models perceived visual space using geometric principles and neural feasibility.

Keywords:
Riemannian geometrybinocular visioncomputational modelocclusionsplace encodingshape perceptionsize perceptionstereopsisvisual space

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Area of Science:

  • Computational Neuroscience
  • Visual Perception
  • Geometric Analysis

Background:

  • The human visual system's perception of space is influenced by the optics of the eye and the size-distance relationship of retinal images.
  • Existing models often struggle to fully explain the complex geometry of perceived visual space.

Purpose of the Study:

  • To develop a Riemannian geometry theory for spatial representation in the human visual system.
  • To provide a neurally-feasible geometric model for visuospatial memory and perception.
  • To explain the warped geometry of perceived visual space.

Main Methods:

  • Utilizing Riemannian geometry concepts such as geodesic spray fields, covariant derivatives, and curvature tensors.
  • Constructing a place-encoded theory of spatial representation based on retinal image features.
  • Employing simulations around the egocentre to analyze perceived 3D visual space.

Main Results:

  • The geometric theory elucidates perceptions of size, shape, occlusion removal, and 3D image generation.
  • Predictions derived from the theory align with existing experimental observations.
  • The framework explains variations in perceived geometry as cognitive perturbations of an invariant physical geometry.

Conclusions:

  • The Riemannian geometry theory offers a unified framework for understanding visuospatial representation and memory.
  • This geometric approach, when combined with models of human movement, can explain complex visuomotor behaviors.
  • The theory provides a foundation for understanding the dynamic, invertible maps essential for planning and executing movements.