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This paper presents an approach to the problem of automatically classifying events detected by video surveillance systems; specifically, of detecting unusual or suspicious movements. Approaches to this problem typically involve building complex 3D-models in real-world coordinates to provide trajectory information for the classifier. We show that analysis of trajectories may be carried out in a model-free fashion, using self-organising feature map neutral networks to learn the characteristics of normal trajectories, and to detect novel ones. Trajectories are represented in 2D image coordinates. First and second order motion information is also generated, with moving-average smoothing. This allows novelty detection to be applied on a point-by-point basis in real time, and permits both instantaneous motion and whole trajectory motion to be subjected to novelty detection.