Zatsiorsky V M, King D L
Department of Kinesiology, The Pennsylvania State University, University Park 16802, USA.
J Biomech. 1998 Feb;31(2):161-4. doi: 10.1016/s0021-9290(97)00116-4.
In posturographic recordings, the center of pressure (COP) displacement does not accurately reflect migration of the gravity line (GL), the vertical line passing through the body's center of gravity, COG. Since the horizontal ground reaction force, Fx, is proportional to the horizontal acceleration of the COG its second integral does represent the horizontal position of the gravity line (GLP). However, the initial constants of integration, initial velocity and position, are not known. In this note, a technique for estimating these integration constants is suggested: zero-point-to-zero-point integration. This method is based on a postulation that when Fx = 0, the GLP and COP coincide. By integrating Fx from one zero point to another zero point, both the instantaneous GLP and its velocity are determined. A validation of the suggested algorithm was performed using optical methods to determine the GLP during a one legged standing tasks. Cross-correlation values of GLP determined via videography and the suggested algorithm ranged from 0.79 to 0.96. These results suggest that the zero-point-to-zero-point-integration is an acceptable technique for determining GLP from posturographic recordings.
在姿势描记记录中,压力中心(COP)位移并不能准确反映重力线(GL)的移动,重力线是指通过身体重心(COG)的垂直线。由于水平地面反作用力Fx与重心的水平加速度成正比,其二次积分确实代表重力线的水平位置(GLP)。然而,积分的初始常数,即初速度和初始位置是未知的。在本报告中,提出了一种估计这些积分常数的技术:零点到零点积分。该方法基于这样一种假设,即当Fx = 0时,GLP和COP重合。通过从一个零点到另一个零点对Fx进行积分,可以确定瞬时GLP及其速度。使用光学方法在单腿站立任务期间确定GLP,对所提出的算法进行了验证。通过摄像确定的GLP与所提出算法的互相关值范围为0.79至0.96。这些结果表明,零点到零点积分是一种从姿势描记记录中确定GLP的可接受技术。