质心
运动学
旋转(数学)
翻译(生物学)
螺旋轴
职位(财务)
地标
方向(向量空间)
几何学
数学
物理
计算机科学
计算机视觉
经典力学
生物化学
化学
财务
信使核糖核酸
经济
基因
作者
Herman J. Woltring,R. Huiskes,A.H. de Lange,F.E. Veldpaus
标识
DOI:10.1016/0021-9290(85)90293-3
摘要
Recent work on joint kinematics indicates that the finite centroid (centre of rotation) and the finite helical axis (axis of rotation, screw axis, twist axis) are highly susceptible to measurement errors when they are experimentally determined from landmark position data. This paper presents an analytical model to describe these effects, under isotropic conditions for the measurement errors and for the spatial landmark distribution. It appears that the position and direction errors are inversely proportional to the rotation magnitude, and that they are much more error-prone than the relatively well-determined rotation and translation magnitudes. Furthermore, the direction and rotation magnitude errors are inversely proportional to the landmark distribution radius, and the position and translation magnitude errors are minimal if the mean position of the landmarks coincides with the centroid or helical axis. For the planar centroid, the use of rigid-body constraints results in considerable precision improvement relative to the classical, finite Reuleaux method for centroid reconstruction. These analytical results can be used to define suitable measurement configurations, and they are used in this paper to explain experimental results on Röntgenphotogrammetrically acquired, in vitro wrist joint movement.
科研通智能强力驱动
Strongly Powered by AbleSci AI