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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国家自然科学基金项目(81572212,308706000)


Estimation of Ground Reaction Force and Center of Pressure During Walking Based on Neural Network Model
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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 筛选出1 384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 network,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(relative root mean square error,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为0.954~0.993,rRMSE为4.36%~9.83%;CNN估算r为0.979~0.994,rRMSE为3.06%~6.69%;MLP在COP各分量中的估算r为0.888~0.992,rRMSE为4.78%~16.63%;CNN在COP各分量中的估算r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,以及左侧支撑时相的GRF左右分量、COP前后分量上的估算rRMSE均低于MLP(P<0.01)。MLP在右侧支撑时相的GRF前后分量,以及左侧支撑时相的COP前后分量、GRF垂直分量上的估算rRMSE均低于CNN(P<0.01)。结论 利用全身标记点轨迹估算步行中GRF和COP时,MLP和CNN技术均获得较好的估算精度。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 Two neural network algorithm models were constructed to estimate the three-dimensional (3D) ground reaction force (GRF) and center of pressure (COP) during walking, and the estimation results of the two algorithm models were compared, so as to provide a solution for the acquisition of gait dynamics data without force plate. Methods A total of 1 384 gait data were selected. Multi-layer perceptron (MLP) and convolutional neural network (CNN) were applid to construct models for estimating GRF and COP components based on the 3D trajectory of whole-body markers. 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 each components of GRF estimated by MLP were 0.954–0.993, and the rRMSEs were 4.36%–9.83%. The r values of each component of GRF estimated by CNN were 0.979–0.994, and the rRMSEs were 3.06%–6.69%. The r values of each component of COP estimated by MLP were 0.888–0.992, and the rRMSEs were 4.78%–16.63%. The r values of each component of COP estimated by CNN 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<0.01). 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<0.01). Conclusions Both MLP and CNN achieved good estimation accuracy in estimating GRF and COP during walking based on the trajectory of whole-body markers. 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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冯茹,杨辰,刘卉.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[J].医用生物力学,2025,40(1):140-147

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  • 收稿日期:2024-08-07
  • 最后修改日期:2024-09-09
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  • 在线发布日期: 2025-02-26
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