Department of Mathematics and Natural Sciences, Blekinge Institute of Technology (BTH), 37179 Karlskrona, Sweden.
Department of Mathematics and Natural Sciences, Blekinge Institute of Technology (BTH), 37435 Karlshamn, Sweden.
Sensors (Basel). 2019 Dec 26;20(1):160. doi: 10.3390/s20010160.
Traffic analyses, particularly speed measurements, are highly valuable in terms of road safety and traffic management. In this paper, an analytical model is presented to measure the speed of a moving vehicle using an off-the-shelf video camera. The method utilizes the temporal sampling rate of the camera and several intrusion lines in order to estimate the probability density function (PDF) of a vehicle's speed. The proposed model provides not only an accurate estimate of the speed, but also the possibility of being able to study the performance boundaries with respect to the camera frame rate as well as the placement and number of intrusion lines in advance. This analytical model is verified by comparing its PDF outputs with the results obtained via a simulation of the corresponding movements. In addition, as a proof-of-concept, the proposed model is implemented for a video-based vehicle speed measurement system. The experimental results demonstrate the model's capability in terms of taking accurate measurements of the speed via a consideration of the temporal sampling rate and lowering the deviation by utilizing more intrusion lines. The analytical model is highly versatile and can be used as the core of various video-based speed measurement systems in transportation and surveillance applications.
交通分析，特别是速度测量，在道路安全和交通管理方面具有很高的价值。本文提出了一种利用市售摄像机测量移动车辆速度的分析模型。该方法利用摄像机的时间采样率和几条侵入线来估计车辆速度的概率密度函数（PDF）。所提出的模型不仅提供了速度的精确估计，而且还可以提前研究相对于摄像机帧率以及侵入线的位置和数量的性能边界的可能性。该分析模型通过将其 PDF 输出与相应运动的模拟结果进行比较来验证。此外，作为概念验证，该模型已应用于基于视频的车辆速度测量系统。实验结果表明，该模型通过考虑时间采样率并利用更多侵入线来降低偏差，可以准确测量速度。该分析模型具有高度的通用性，可作为交通和监控应用中各种基于视频的速度测量系统的核心。
