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2015 | OriginalPaper | Buchkapitel

Model-Based Classification of Trajectories

verfasst von : Maike Buchin, Stef Sijben

Erschienen in: Algorithms and Computation

Verlag: Springer Berlin Heidelberg

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Abstract

We present algorithms for classifying trajectories based on a movement model parameterized by a single parameter, like the Brownian bridge movement model. Classification is the problem of assigning trajectories to classes of similar movement characteristics. For instance, the set of trajectories might be the subtrajectories resulting from segmenting a trajectory, thus identifying movement phases. We give an efficient algorithm to compute the optimal classification for a discrete set of parameter values. We also show that classification is NP-hard if the parameter values are allowed to vary continuously and present an algorithm that solves the problem in polynomial time under mild assumptions on the input.

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Literatur
1.
Zurück zum Zitat Alewijnse, S.P.A., Buchin, K., Buchin, M., Kölzsch, A., Kruckenberg, H., Westenberg, M.A.: A framework for trajectory segmentation by stable criteria. In: Proceedings of the 22nd International Conference on Advances in Geographic Information Systems (ACM GIS), pp. 351–360. ACM (2014) Alewijnse, S.P.A., Buchin, K., Buchin, M., Kölzsch, A., Kruckenberg, H., Westenberg, M.A.: A framework for trajectory segmentation by stable criteria. In: Proceedings of the 22nd International Conference on Advances in Geographic Information Systems (ACM GIS), pp. 351–360. ACM (2014)
2.
Zurück zum Zitat Alewijnse, S.P.A., Buchin, K., Buchin, M., Sijben, S., Westenberg, M.A.: Model-based segmentation and classification of trajectories. In: Proceedings of the 30th European Workshop on Computational Geometry (2014) Alewijnse, S.P.A., Buchin, K., Buchin, M., Sijben, S., Westenberg, M.A.: Model-based segmentation and classification of trajectories. In: Proceedings of the 30th European Workshop on Computational Geometry (2014)
3.
Zurück zum Zitat Buchin, K., Sijben, S., Arseneau, T.J., Willems, E.P.: Detecting movement patterns using Brownian bridges. In: Proceedings of the 20th International Conference on Advances in Geographic Information Systems (ACM GIS), pp. 119–128. ACM (2012) Buchin, K., Sijben, S., Arseneau, T.J., Willems, E.P.: Detecting movement patterns using Brownian bridges. In: Proceedings of the 20th International Conference on Advances in Geographic Information Systems (ACM GIS), pp. 119–128. ACM (2012)
4.
Zurück zum Zitat Buchin, M., Kruckenberg, H., Kölzsch, A.: Segmenting trajectories by movement states. In: Timpf, S., Laube, P. (eds.) Advances in Spatial Data Handling, pp. 15–25. Springer, Heidelberg (2013)CrossRef Buchin, M., Kruckenberg, H., Kölzsch, A.: Segmenting trajectories by movement states. In: Timpf, S., Laube, P. (eds.) Advances in Spatial Data Handling, pp. 15–25. Springer, Heidelberg (2013)CrossRef
5.
Zurück zum Zitat Bullard, F.: Estimating the Home Range of an Animal: A Brownian Bridge Approach. Master’s thesis, The University of North Carolina (1999) Bullard, F.: Estimating the Home Range of an Animal: A Brownian Bridge Approach. Master’s thesis, The University of North Carolina (1999)
6.
Zurück zum Zitat Edelsbrunner, H., Guibas, L., Pach, J., Pollack, R., Seidel, R., Sharir, M.: Arrangements of curves in the plane-topology, combinatorics, and algorithms. Theoret. Comput. Sci. 92(2), 319–336 (1992)MathSciNetCrossRefMATH Edelsbrunner, H., Guibas, L., Pach, J., Pollack, R., Seidel, R., Sharir, M.: Arrangements of curves in the plane-topology, combinatorics, and algorithms. Theoret. Comput. Sci. 92(2), 319–336 (1992)MathSciNetCrossRefMATH
7.
Zurück zum Zitat Gudmundsson, J., Laube, P., Wolle, T.: Computational movement analysis. In: Kresse, W., Danko, D.M. (eds.) Springer Handbook of Geographic Information, pp. 423–438. Springer, Heidelberg (2012) Gudmundsson, J., Laube, P., Wolle, T.: Computational movement analysis. In: Kresse, W., Danko, D.M. (eds.) Springer Handbook of Geographic Information, pp. 423–438. Springer, Heidelberg (2012)
8.
Zurück zum Zitat Gurarie, E., Andrews, R.D., Laidre, K.L.: A novel method for identifying behavioural changes in animal movement data. Ecol. Lett. 12(5), 395–408 (2009)CrossRef Gurarie, E., Andrews, R.D., Laidre, K.L.: A novel method for identifying behavioural changes in animal movement data. Ecol. Lett. 12(5), 395–408 (2009)CrossRef
9.
Zurück zum Zitat Horne, J., Garton, E., Krone, S., Lewis, J.: Analyzing animal movements using Brownian bridges. Ecology 88(9), 2354–2363 (2007)CrossRef Horne, J., Garton, E., Krone, S., Lewis, J.: Analyzing animal movements using Brownian bridges. Ecology 88(9), 2354–2363 (2007)CrossRef
10.
Zurück zum Zitat de Jager, M., Weissing, F.J., Herman, P.M.J., Nolet, B.A., van de Koppel, J.: Lévy walks evolve through interaction between movement and environmental complexity. Science 332(6037), 1551–1553 (2011)CrossRef de Jager, M., Weissing, F.J., Herman, P.M.J., Nolet, B.A., van de Koppel, J.: Lévy walks evolve through interaction between movement and environmental complexity. Science 332(6037), 1551–1553 (2011)CrossRef
11.
Zurück zum Zitat Kranstauber, B., Kays, R., LaPoint, S.D., Wikelski, M., Safi, K.: A dynamic brownian bridge movement model to estimate utilization distributions for heterogeneous animal movement. J. Anim. Ecol. 81(4), 738–746 (2012)CrossRef Kranstauber, B., Kays, R., LaPoint, S.D., Wikelski, M., Safi, K.: A dynamic brownian bridge movement model to estimate utilization distributions for heterogeneous animal movement. J. Anim. Ecol. 81(4), 738–746 (2012)CrossRef
12.
Zurück zum Zitat LaPoint, S., Gallery, P., Wikelski, M., Kays, R.: Animal behavior, cost-based corridor models, and real corridors. Landscape Ecol. 28(8), 1615–1630 (2013)CrossRef LaPoint, S., Gallery, P., Wikelski, M., Kays, R.: Animal behavior, cost-based corridor models, and real corridors. Landscape Ecol. 28(8), 1615–1630 (2013)CrossRef
13.
Zurück zum Zitat LaPoint, S., Gallery, P., Wikelski, M., Kays, R.: Data from: animal behavior, cost-based corridor models, and real corridors. Movebank Data Repository (2013) LaPoint, S., Gallery, P., Wikelski, M., Kays, R.: Data from: animal behavior, cost-based corridor models, and real corridors. Movebank Data Repository (2013)
14.
Zurück zum Zitat Nathan, R., Spiegel, O., Fortmann-Roe, S., Harel, R., Wikelski, M., Getz, W.M.: Using tri-axial acceleration data to identify behavioral modes of free-ranging animals: general concepts and tools illustrated for griffon vultures. J. Exp. Biol. 215(6), 986–996 (2012)CrossRef Nathan, R., Spiegel, O., Fortmann-Roe, S., Harel, R., Wikelski, M., Getz, W.M.: Using tri-axial acceleration data to identify behavioral modes of free-ranging animals: general concepts and tools illustrated for griffon vultures. J. Exp. Biol. 215(6), 986–996 (2012)CrossRef
15.
Zurück zum Zitat Shamoun-Baranes, J., Bom, R., van Loon, E.E., Ens, B.J., Oosterbeek, K., Bouten, W.: From sensor data to animal behaviour: an oystercatcher example. PLoS ONE 7(5), e37997 (2012)CrossRef Shamoun-Baranes, J., Bom, R., van Loon, E.E., Ens, B.J., Oosterbeek, K., Bouten, W.: From sensor data to animal behaviour: an oystercatcher example. PLoS ONE 7(5), e37997 (2012)CrossRef
Metadaten
Titel
Model-Based Classification of Trajectories
verfasst von
Maike Buchin
Stef Sijben
Copyright-Jahr
2015
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-48971-0_34