A Riemannian geometry theory of human movement: The geodesic synergy hypothesis

Neilson, Peter D.; Neilson, Megan D.; Bye, Robin Trulssen

doi:10.1016/j.humov.2015.08.010

Cited by 15 publications

(30 citation statements)

References 34 publications

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“…However, for those unfamiliar with the mathematics involved, we have sought to provide intuitive descriptions of the geometrical concepts. We trust that these, together with similar descriptions in our previous paper [52], can assist in making the power and the elegance of this remarkable geometry accessible to an interdisciplinary readership.…”

Section: Introductionmentioning

confidence: 61%

“…We have long emphasized the importance of orthogonalization (and deorthogonalization) in the central processing of sensory and motor signals [52,83,84,85]. Indeed, we have argued that orthogonalization is ubiquitous at all levels throughout all sensory and motor systems of the brain.…”

Section: Preliminariesmentioning

confidence: 99%

“…Our intention is to develop the groundwork for a theory of visual information processing able to account for the non-linearities and dynamics involved. The resulting theory will be integrated with our previous theory on the Riemannian geometry of human movement [52] but in this paper we focus entirely on vision. We do not attempt to justify in a rigorous fashion the theorems and propositions that we draw from Riemannian geometry.…”

Section: Introductionmentioning

confidence: 99%

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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception

Neilson

Bye

2018

Vision

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We present a Riemannian geometry theory to examine the systematically warped geometry of perceived visual space attributable to the size–distance relationship of retinal images associated with the optics of the human eye. Starting with the notion of a vector field of retinal image features over cortical hypercolumns endowed with a metric compatible with that size–distance relationship, we use Riemannian geometry to construct a place-encoded theory of spatial representation within the human visual system. The theory draws on the concepts of geodesic spray fields, covariant derivatives, geodesics, Christoffel symbols, curvature tensors, vector bundles and fibre bundles to produce a neurally-feasible geometric theory of visuospatial memory. The characteristics of perceived 3D visual space are examined by means of a series of simulations around the egocentre. Perceptions of size and shape are elucidated by the geometry as are the removal of occlusions and the generation of 3D images of objects. Predictions of the theory are compared with experimental observations in the literature. We hold that the variety of reported geometries is accounted for by cognitive perturbations of the invariant physically-determined geometry derived here. When combined with previous description of the Riemannian geometry of human movement this work promises to account for the non-linear dynamical invertible visual-proprioceptive maps and selection of task-compatible movement synergies required for the planning and execution of visuomotor tasks.

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Section: Introductionmentioning

confidence: 61%

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception

Neilson

Bye

2018

Vision

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“…perception and physical constraints by walls and rivers) of a pedestrian constrain the dynamics. A lower dimensional dataset can be representative for the human movement comparing to the number of joint angles of a human body (highdimensional dataset) [16]. Also statistically repeated patterns (e.g.…”

Section: A Influences Of Human Behaviourmentioning

confidence: 99%

“Pedestrian in the loop”: An approach using virtual reality

Hartmann

Viehweger

Desmet

et al. 2017

2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT)

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Abstract-A large number of testing procedures have been developed to ensure vehicle safety in common and extreme driving situations. However, these conventional testing procedures are insufficient for testing autonomous vehicles. They have to handle unexpected scenarios with the same or less risk a human driver would take. Currently, safety related systems are not adequately tested, e.g. in collision avoidance scenarios with pedestrians. Examples are the change of pedestrian behaviour caused by interaction, environmental influences and personal aspects, which cannot be tested in real environments. It is proposed to use Virtual Reality techniques. This method can be seen as a new Pedestrian in the Loop testing procedure.

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“…The locations of the FSPs and PSPs were defined in [11] by computation of the time courses of the force moments and joint angles. At present, graphical methods begin to be widely used for the analysis of the synergy effects (see, e.g., [12]). In this study, we propose a graphical method for a theoretical definition of the force and position synergies for planar two-joint arm movements.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of the Force and Position Synergies in Two-Joint Movements

Kostyukov¹

2016

Neurophysiology

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A theoretical approach is proposed to define the force and position singular points (FSPs and PSPs) in the circular, ellipsoidal, and linear planar two-joint movements produced under steady loadings directed along the movement traces. The FSPs coincide with changes in the direction of the force moments acting around the joints; the PSPs show the locations of the extrema at the joint angle trajectories. The force synergy (defined by the location of FSPs) provides a strong influence on the activation synergy; the latter is largely described by correlations between the activities recorded from the muscles participating in the movement. The position synergy (defined by the location of PSPs) is responsible for a hysteresis-related modulation of the activation synergy. Geometrical procedures are proposed to define positions of the FSPs and PSPs along various movement traces; this can provide a general description of the force and position synergies for the movements. The force synergies in the circular movements cover four sectors with diverse loading combinations of the flexor and extensor muscles belonging to different joints. The variability of the synergy effects for changes in the size and position of the circular trajectories is analyzed; the synergy patterns are also considered for ellipsoidal and linear movement traces. A Force Feedback Control Hypothesis is proposed; it allows one to explain the decrease in the number of controlled variables during real multi-joint movements.

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A Riemannian geometry theory of human movement: The geodesic synergy hypothesis

Cited by 15 publications

References 34 publications

A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception

A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception

“Pedestrian in the loop”: An approach using virtual reality

Theoretical Analysis of the Force and Position Synergies in Two-Joint Movements

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