Multiscale comparison of three-dimensional trajectories based on the curvature maxima and its application to medicine

Authors:
Shoji Hirano;Shusaku Tsumoto
Affiliations:
Department of Medical Informatics, Shimane University, School of Medicine, Shimane, Japan;Department of Medical Informatics, Shimane University, School of Medicine, Shimane, Japan
Venue:
SBP'10 Proceedings of the Third international conference on Social Computing, Behavioral Modeling, and Prediction
Year:
2010

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Abstract

This paper presents a novel multiscale comparison method for three-dimensional trajectories. We propose to use the maxima of curvature instead of curvature zero-crossings (inflection points) for splitting a trajectory into subtrajectories (segments), so that a segment-based multiscale matching scheme can be applied for three-dimensional trajectories whose curvature is by nature sign-less. We demonstrate on the synthetic data and medical data that our method could successfully capture the structural similarity of three-dimensional trajectories.