DETECTING COMMUTING PATTERNS BY CLUSTERING SUBTRAJECTORIES

Author:

BUCHIN KEVIN1,BUCHIN MAIKE1,GUDMUNDSSON JOACHIM2,LÖFFLER MAARTEN3,LUO JUN4

Affiliation:

1. Department of Mathematics and Computer Science, Technical University Eindhoven, the Netherlands

2. NICTA, Sydney, Australia

3. Computer Science Department University of California, Irvine, USA

4. Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, China

Abstract

In this paper we consider the problem of detecting commuting patterns in a trajectory. For this we search for similar subtrajectories. To measure spatial similarity we choose the Fréchet distance and the discrete Fréchet distance between subtrajectories, which are invariant under differences in speed. We give several approximation algorithms, and also show that the problem of finding the 'longest' subtrajectory cluster is as hard as MaxClique to compute and approximate.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

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