基于神经网络模型估算步行中的地面反作用力和压力中心
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1.南京体育学院;2.北京体育大学 中国运动与健康研究院

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Estimation of Ground Reaction Force and Center of Pressure during Walking Based on Neural Network
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1.Nanjing Sport Institute;2.Nanjing Sports Institute;3.南京体育学院

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    摘要:

    目的:应用两类神经网络算法估算步行中两足三维地面反作用力(Ground reaction force,GRF)和压力中心(Center of pressure,COP),并对比两种算法模型的估算效果,为无测力台条件下的步态动力学数据获取提供解决方案。方法:在实验室10年来所采集的步态数据中筛选出1384人次步态数据。采用多层感知机(Multi-Layer Perceptron,MLP)和卷积神经网络(Convolutional Neural Networks,CNN)构建基于全身标记点三维轨迹估算GRF和COP各分量的模型。随机选取100个样本作为测试集,利用估算值与真实值的相关系数(r)、相对均方根误差(rRMSE)评价各模型的估算性能,并采用配对样本T检验比较两类神经网络模型的估算性能。结果: MLP在GRF各分量中的估算r值为0.954-0.993,rRMSE为4.36%-9.83%;CNN估算r值为0.979-0.994,rRMSE为3.06%-6.69%;MLP在COP各分量中的估算r值为0.888-0.992,rRMSE为4.78%-16.63%;CNN在COP各分量中的估算r值为0.944-0.995,rRMSE为3.06%-10.85%。CNN在右侧支撑时相的GRF内外分量、COP内外分量、COP前后分量,左侧支撑时相的GRF左右分量、COP前后分量上的估算相对均方根误差均低于MLP(P<0.010)。MLP在右侧支撑时相的GRF前后分量,左侧支撑时相的COP前后分量、GRF垂直分量上的估算相对均方根误差均低于CNN(P<0.008)。结论:利用全身标记点轨迹估算步行中的GRF和COP时,MLP和CNN技术均获得了较好的估算精度。MLP在GRF前后分量和垂直分量的估算精度优于CNN,而CNN在GRF内外分量和COP前后分量和内外分量的估算精度优于MLP。

    Abstract:

    Objective: We constructed two neural network models to estimate the three-dimensional ground reaction force (GRF) and center of pressure (COP) during two stance phase of walking. This study might provide a solution for gait analysis without force plate. Methods: Gait dataset were collected over the past 10 years and 1384 gait data were selected. Multi-layer perceptron (MLP) and convolutional neural network (CNN), were constructed to estimate the components of GRF and COP based on the marker’s three-dimensional trajectories. In this study, 100 samples were randomly selected as the test set, and the estimation performance was evaluated by the correlation coefficient (r), relative root mean square error (rRMSE). Paired-sample T-tests were used to compare the estimation performance of the two neural network models. Results: The r values of MLP in each components of GRF were 0.954-0.993, and the rRMSEs were 4.36%-9.83%. The r values of CNN in each components of GRF were 0.979-0.994, and the rRMSEs were 3.06%-6.69%. The r values of MLP in each components of COP were 0.888-0.992, and the rRMSEs were 4.78%-16.63%. The r values of CNN in each components of COP were 0.944-0.995,and rRMSEs were 3.06%-10.85%. The RMSEs of CNN in estimating the medio-lateral component of GRF , the medio-lateral and antero-posterior components of COP during right stance phase, as well as the medio-lateral and antero-posterior components of COP during left stance phase were all lower than those of MLP (P < 0.010). The RMSEs of MLP in estimating the anterior-posterior component of GRF during right stance phase, as well as the anterior-posterior component of COP and the vertical direction of GRF during left stance phase were lower than those of CNN (P < 0.008). Conclusion: Both MLP and CNN achieved good estimation accuracy in estimating GRF and COP during walking based on the trajectories of markers of the full-body. The estimation accuracy of MLP in estimating the anterior-posterior components and vertical component of GRF was better than that of CNN, while the estimation accuracy of CNN in estimating the medio-lateral component of GRF, the anterior-posterior and medio-lateral components of COP were better than that of MLP.

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  • 收稿日期:2024-08-07
  • 最后修改日期:2024-09-09
  • 录用日期:2024-09-10
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