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基于RBF网络的足球点球轨迹预测

Prediction of Football Penalty Kick Trajectory Based on RBF Network
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摘要 基于计算机视觉线性化轨迹预测模型在预测足球轨迹时,只能保证局部稳定性,存在轨迹跟踪局部稳定性问题和parking问题,提出了基于RBF网络的足球点球轨迹预测方法。建立足球运动状态传感信号解析模型,计算足球飞行地心重力、空气阻力、空气浮力、自身旋转时产生的马格努斯力的参数。建立足球飞行过程中的飞行受力解析模型,鉴于多参数模型复杂度过高,产生parking问题。利用RBF网络模型简化能力,建立飞行轨迹预测模型,结合并行滤波控制器,融合以上所有信息,在已知视觉概率计算的基础上,完成足球飞行轨迹的状态估计,并将其误差的协方差计算作为滤波控制的输入值,从而得到所有方差、均值的数据。最后获得足球在任意时刻的运动状态函数,完成预测。实验结果显示,该方法的足球运行轨迹吻合度为12 mm,且落点距离标准差最大仅为0.0412 m,因此,该预测方法能够得到精度更高的预测数据。 Based on the linearized trajectory prediction model,when predicting the football trajectory,it can only guarantee the local stability,and there are local stability problems and parking problems in trajectory tracking.This paper proposes a method for predicting the trajectory of football penalty kick based on RBF network.The analytical model of football motion state sensing signal is established,and the parameters of gravity,air resistance,air buoyancy and Magnus force generated when the football is flying are collected.An analytical model of flight force in football flight is established.in view of the high complexity of the multi parameter model,the parking problem arises.Using the RBF network model simplification ability,a flight trajectory prediction model is established.Combining with the parallel filter controller,all the above information is fused.On the basis of the known probability calculation,the state estimation of the football flight trajectory is completed,and the covariance calculation of its error is taken as the input value of the filter control,so that all the variance and mean data are obtained.Finally,the motion state function of football at any time is obtained,and the prediction is completed.The experimental results show that the coincidence degree of the soccer trajectory of this method is 12 mm,and the maximum standard deviation of the impact distance is only 0.0412 m.Therefore,this prediction method can obtain more accurate prediction data.
作者 周帅 张云飞 郑永权 许大炜 ZHOU Shuai;ZHANG Yunfei;ZHENG Yongquan;XU Dawei(Xi’an jiaotong University City College,Xi’an,Shaanxi 710018,China)
出处 《计算技术与自动化》 2024年第1期25-31,共7页 Computing Technology and Automation
基金 陕西省自然科学基金资助项目(2021JM-318)。
关键词 RBF网络 足球点球 并行滤波 控制器 运行轨迹预测 传感参数 RBF network football penalty kick parallel filtering controller operation track prediction sensing parameters
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