In this paper, we propose a novel generalized distance metric based on a model that incorporates the time axis explicitly. The proposed metric is based fundamentally on the Mahalanobis distance metric, which eliminates the correlation and scaling errors in similarity searches on trajectory databases. We propose the incorporation of a weight matrix in the proposed distance metric, which allows for easy manipulation of the degree of significance of the different spatial and or temporal dimensions.
G. Pathak et al., "Generalized Distance Metric as a Robust Similarity Measure for Mobile Object Trajectories," Proceedings of the IEEE International Conference on Sensor Networks, Ubiquitous, and Trustworthy Computing (SUTC'06), Institute of Electrical and Electronics Engineers (IEEE), Jan 2006.
The definitive version is available at http://dx.doi.org/10.1109/SUTC.2006.1636172
IEEE International Conference on Sensor Networks, Ubiquitous, and Trustworthy Computing (SUTC'06)
Article - Conference proceedings
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