Shaping of arm configuration space by prescription of non-Euclidean metrics with applications to human motor control.

Shaping of arm configuration space by prescription of non-Euclidean metrics with applications to human motor control.
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通过非欧几里得度量的规定来塑造手臂配置空间并应用于人体运动控制。

DOI:
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发表时间:
2013
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
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通讯作者:
A. Biess
A. Biess
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作者:
A. Biess

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对人类手臂运动的运动学和动力学特征的研究提供了对人类运动控制的计算策略的见解。本文采用微分几何方法进行运动控制,通过赋予臂位形空间不同的非欧度量结构,研究了不同类型的人体手臂运动在黎曼流形上的广义最小加加速度(MJ)模型的预测.对于每个度量空间,广义MJ模型的解由重新参数化的测地线路径给出。该测地线模型被应用于各种运动任务,范围从点状目标之间的四自由度臂的三维无约束移动到手部位置被限制到表面(例如,球体)或曲线(例如,椭圆)。对于后者的速度曲率关系推导出取决于所施加的边界条件(周期性或非周期性),并与经验的三分之一幂律的兼容性。基于这些理论研究和最近的实验结果,我认为,测地线可能是一个新兴的属性的运动系统和感觉运动系统可以通过学习度量结构,通过感觉运动反馈塑造手臂配置空间。
The study of the kinematic and dynamic features of human arm movements provides insights into the computational strategies underlying human motor control. In this paper a differential geometric approach to movement control is taken by endowing arm configuration space with different non-Euclidean metric structures to study the predictions of the generalized minimum-jerk (MJ) model in the resulting Riemannian manifold for different types of human arm movements. For each metric space the solution of the generalized MJ model is given by reparametrized geodesic paths. This geodesic model is applied to a variety of motor tasks ranging from three-dimensional unconstrained movements of a four degree of freedom arm between pointlike targets to constrained movements where the hand location is confined to a surface (e.g., a sphere) or a curve (e.g., an ellipse). For the latter speed-curvature relations are derived depending on the boundary conditions imposed (periodic or nonperiodic) and the compatibility with the empirical one-third power law is shown. Based on these theoretical studies and recent experimental findings, I argue that geodesics may be an emergent property of the motor system and that the sensorimotor system may shape arm configuration space by learning metric structures through sensorimotor feedback.
在三个维度上轻松移动:唐德斯定律是否适用于手臂运动?
DOI: 10.1523/jneurosci.15-09-06271.1995
发表时间: 1995
期刊: The Journal of neuroscience : the official journal of the Society for Neuroscience
影响因子: --
作者:
Soechting,JF;Buneo,CA;Herrmann,U;Flanders,M
通讯作者: Flanders,M
DOI: 10.1152/jn.1999.82.5.2676
发表时间: 1999-11-01
影响因子: 2.5
作者:
Moran, DW;Schwartz, AB
通讯作者: Schwartz, AB