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Geometry and Control of Human Eye Movements

机译:人眼运动的几何和控制

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In this paper, we study the human oculomotor system as a simple mechanical control system. It is a well known physiological fact that all eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices for which the axes are orthogonal to the normal gaze direction. First, we discuss the geometry of this restricted configuration space (referred to as the Listing space). Then we formulate the system as a simple mechanical control system with a holonomic constraint. We propose a realistic model with musculotendon complexes and address the question of controlling the gaze. As an example, an optimal energy control problem is formulated and numerically solved
机译:在本文中,我们将人体动眼系统作为一种简单的机械控制系统进行研究。一个众所周知的生理事实是,所有眼睛的运动都遵循Listing定律,该定律指出眼睛的方向形成了一个由旋转矩阵组成的子集,其旋转轴与法线方向正交。首先,我们讨论此受限配置空间(称为清单空间)的几何形状。然后,我们将该系统公式化为具有完整约束的简单机械控制系统。我们提出了一种具有肌腱末端复合物的现实模型,并解决了控制视线的问题。例如,一个最优的能量控制问题被公式化并数值求解

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