Vehicle Trajectory Restoration Based on Vondrak Filtering and Cubic Spline Interpolation

Vehicle trajectory records the vehicle location and time sequence, which is significant for the travel state analysis and road accidents forecast. In order to repair the fault data of vehicle location and time updates resulted from global position system (GPS) data transmission interruption and resolve problems of vehicle trajectory information lack. This paper studies vehicle trajectory restoration, designing a distributed model for vehicle restoration trajectory, using Vondrak filtering to smooth the travel trajectory and then repairing latitude and longitude information by using cubic spline interpolation. The vehicle trajectory can be got by the merger of latitude and longitude information. Restoration methods are verified by MATLAB under simulation. The results show that the algorithm error is 6.01×10^-5, which is able to guarantee the accuracy of vehicle trajectory information and provide relatively accurate data to support researches based on travel trajectory.