基于遗传算法的乒乓球轨迹反向推导旋转方法研究

Reverse Calculation of Rotation Using Trajectory of Table Tennis Based on Genetic Algorithm

乒乓球的旋转测量问题在体育领域和视觉领域中都是一个难题,研究摒弃了直接对乒乓球添加标记进行旋转测量的方法,利用乒乓球的旋转轨迹反向推导乒乓球旋转速度。通过对乒乓球在空中的运动进行受力分析建立运动模型,对乒乓球的旋转轴方向分析建立旋转模型,再通过大量实验来获得模型中的轨迹参数数据和旋转数据,最终利用遗传算法迭代出模型中的系数矩阵。实验证明:遗传算法呈很好的收敛性,验证了算法的正确性。研究为乒乓球的旋转测量提供了一种新的算法和思路,为乒乓球机器人击打旋转球打下基础。

The problem of rotation measurement in table tennis is a challenge in both sport and visual fields.In this paper,we reject the method of directly measuring the rotation and use the trajectory to calculate rotation of table tennis in reverse.Through the force analysis of table tennis in the air,a motion model is established.And we establish the rotation model by analyzing the rotation axis of table tennis.A large number of experiments are performed to obtain the trajectory parameter data and the rotation data in the model.Finally,genetic algorithm is used to calculate the coefficient matrix in the model.The experiments show that the genetic algorithm shows a good result of convergence and it verifies the accuracy of the algorithm.This paper provides a new algorithm for the rotation measurement of table tennis and lays the foundation for the table tennis robot to hit the spinning ball.