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A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement
Bringing together a Riemannian geometry account of visual space with a complementary account of human movement synergies we present a neurally-feasible computational formulation of visuomotor task performance. This cohesive geometric theory addresses inherent nonlinear complications underlying the m...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8163178/ https://www.ncbi.nlm.nih.gov/pubmed/34070234 http://dx.doi.org/10.3390/vision5020026 |
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author | Neilson, Peter D. Neilson, Megan D. Bye, Robin T. |
author_facet | Neilson, Peter D. Neilson, Megan D. Bye, Robin T. |
author_sort | Neilson, Peter D. |
collection | PubMed |
description | Bringing together a Riemannian geometry account of visual space with a complementary account of human movement synergies we present a neurally-feasible computational formulation of visuomotor task performance. This cohesive geometric theory addresses inherent nonlinear complications underlying the match between a visual goal and an optimal action to achieve that goal: (i) the warped geometry of visual space causes the position, size, outline, curvature, velocity and acceleration of images to change with changes in the place and orientation of the head, (ii) the relationship between head place and body posture is ill-defined, and (iii) mass-inertia loads on muscles vary with body configuration and affect the planning of minimum-effort movement. We describe a partitioned visuospatial memory consisting of the warped posture-and-place-encoded images of the environment, including images of visible body parts. We depict synergies as low-dimensional submanifolds embedded in the warped posture-and-place manifold of the body. A task-appropriate synergy corresponds to a submanifold containing those postures and places that match the posture-and-place-encoded visual images that encompass the required visual goal. We set out a reinforcement learning process that tunes an error-reducing association memory network to minimize any mismatch, thereby coupling visual goals with compatible movement synergies. A simulation of a two-degrees-of-freedom arm illustrates that, despite warping of both visual space and posture space, there exists a smooth one-to-one and onto invertible mapping between vision and proprioception. |
format | Online Article Text |
id | pubmed-8163178 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-81631782021-05-29 A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement Neilson, Peter D. Neilson, Megan D. Bye, Robin T. Vision (Basel) Article Bringing together a Riemannian geometry account of visual space with a complementary account of human movement synergies we present a neurally-feasible computational formulation of visuomotor task performance. This cohesive geometric theory addresses inherent nonlinear complications underlying the match between a visual goal and an optimal action to achieve that goal: (i) the warped geometry of visual space causes the position, size, outline, curvature, velocity and acceleration of images to change with changes in the place and orientation of the head, (ii) the relationship between head place and body posture is ill-defined, and (iii) mass-inertia loads on muscles vary with body configuration and affect the planning of minimum-effort movement. We describe a partitioned visuospatial memory consisting of the warped posture-and-place-encoded images of the environment, including images of visible body parts. We depict synergies as low-dimensional submanifolds embedded in the warped posture-and-place manifold of the body. A task-appropriate synergy corresponds to a submanifold containing those postures and places that match the posture-and-place-encoded visual images that encompass the required visual goal. We set out a reinforcement learning process that tunes an error-reducing association memory network to minimize any mismatch, thereby coupling visual goals with compatible movement synergies. A simulation of a two-degrees-of-freedom arm illustrates that, despite warping of both visual space and posture space, there exists a smooth one-to-one and onto invertible mapping between vision and proprioception. MDPI 2021-05-25 /pmc/articles/PMC8163178/ /pubmed/34070234 http://dx.doi.org/10.3390/vision5020026 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Neilson, Peter D. Neilson, Megan D. Bye, Robin T. A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement |
title | A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement |
title_full | A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement |
title_fullStr | A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement |
title_full_unstemmed | A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement |
title_short | A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement |
title_sort | riemannian geometry theory of synergy selection for visually-guided movement |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8163178/ https://www.ncbi.nlm.nih.gov/pubmed/34070234 http://dx.doi.org/10.3390/vision5020026 |
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