基于改进三次Hermite插值的车辆时空轨迹重构研究  

Vehicle Trajectory Reconstruction Based on Improved Cubic Hermite Interpolation

作　　者：陈志军[1,2] 吴超仲[1,2] 吕能超[1,2] 马杰[1,2] 

机构地区：[1]武汉理工大学智能交通系统研究中心,武汉430063 [2]水路公路交通安全控制与装备教育部工程研究中心,武汉430063

出　　处：《交通信息与安全》2013年第6期43-46,共4页Journal of Transport Information and Safety

基　　金：国家自然科学基金项目(批准号:51178364;61104158;61203236);教育部新世纪优秀人才计划项目(批准号:2011j0138);武汉市学科带头人计划项目(批准号:201271130445);中央高校基本科研业务费专项资金项目(批准号:2013-YB-011)资助

摘　　要：车辆时空轨迹是车辆的位置和时间的记录序列,对分析车辆异常状态,交通事故重现等具有重要的意义。路侧单元和车载设备因环境、传感器性能等因素的影响,造成车辆轨迹不完整和异常偏离,因此轨迹重构具有一定的理论价值和实际意义。轨迹重构主要方法是轨迹插值,插值的精度直接影响轨迹的准确率。对三次Hermite插值进行改进,使用三次多项式求导计算斜率代替使用斜率推算方法。实验表明,改进的轨迹重构算法不仅继承了三次Hermite插值的优点,且插值精度比分段直线插值、三次样条插值和三次Hermite插值更高。Vehicle trajectory records the vehicle location and time sequence,which is significant for analyzing the abnormal state of vehicle and traffic accident recurrence.The equipments that are installed in vehicle and roadside are affected by the environment and the performance of sensors.As a result,the incomplete and abnormal deviations of trajectories are obtained.Therefore,trajectory reconstruction has its theoretical value and practical significance.Interpolation is used in trajectory reconstruction.The accuracy of trajectory reconstruction is affected by the accuracy of interpolation. In this study,the cubic Hermite interpolation is improved.The calculated slope is replaced by the derivative of the cubic polynomial.The results show that the accuracy of improved algorithm is better than that of the straight line interpolation, cubic spline interpolation and cubic Hermite interpolation.

关 键 词：车辆时空轨迹 轨迹重构 改进三次Hermite插值 

分 类 号：U492.8+4[交通运输工程—交通运输规划与管理]