Probabilistic Kalman filter for moving object tracking |
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Affiliation: | 1. Faculty of Computer and Information Technology Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran;2. Electrical Engineering Department, Imam Khomeini International University, Qazvin, Iran;1. Department of Management and Innovation Systems, University of Salerno, 84084 Fisciano (SA), Italy;2. Andalusian Research Institute in Data Science and Computational Intelligence, University of Granada, 18071 Granada, Spain;3. Department of Engineering, University of Sannio, 82100 Benevento, Italy |
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Abstract: | Kalman filter has been successfully applied to tracking moving objects in real-time situations. However, the filter cannot take into account the existing prior knowledge to improve its predictions. In the moving object tracking, the trajectories of multiple targets in the same environment could be available, which can be viewed as the prior knowledge for the tracking procedure. This paper presents the probabilistic Kalman filter (PKF) that is able to take into account the stored trajectories to improve tracking estimation. The PKF has an extra stage after two steps of the Kalman filter to refine the estimated position of the targets. The refinement is obtained by applying the Viterbi algorithm to a probabilistic graph, that is constructed based on the observed trajectories. The graph is built in the offline situation and could be adapted in the online tracking. The proposed tracker has higher accuracy compared to the standard Kalman filter and could handle widespread problems such as occlusion. Another significant achievement of the proposed tracker is to track an object with anomalous behaviors by drawing an inference based on the constructed probabilistic graph. The PKF was applied to several manually-built videos and several other video-bases containing severe occlusions, which demonstrates a significant performance in comparison with other state-of-the-art trackers. |
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Keywords: | Kalman filter Learned tracker Smoothing process Graph |
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