Abstract
Many new applications involving moving objects require the collection and querying of trajectory data, so efficient indexing methods are needed to support complex spatio-temporal queries on such data. Current work in this domain has used MBRs to approximate trajectories, which fail to capture some basic properties of trajectories, including smoothness and lack of internal area. This mismatch leads to poor pruning when such indices are used. In this work, we revisit the issue of using parametric space indexing for historical trajectory data. We approximate a sequence of movement functions with single continuous polynomial. Since trajectories tend to be smooth, our approximations work well and yield much finer approximation quality than MBRs. We present the PA-tree, a parametric index that uses this new approximation method. Experiments show that PA-tree construction costs are orders of magnitude lower than that of competing methods. Further, for spatio-temporal range queries, MBR-based methods require 20%–60% more I/O than PA-trees with clustered indicies, and 300%–400% more I/O than PA-trees with non-clustered indicies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barth, M.: UCR IntelliShare Project, http://evwebsvr.cert.ucr.edu/intellishare/
Brinkhoff, T.: Generating Network-Based Moving Objects. In: SSDBM 2000, p. 253. IEEE Computer Society Press, Los Alamitos (2000)
Cai, Y., Ng, R.: Indexing Spatio-temporal Trajectories With Chebyshev Polynomials. In: SIGMOD Conference, pp. 599–610. ACM Press, New York (2004)
Chakka, V.P., Everspaugh, A., Patel, J.M.: Indexing Large Trajectory Data Sets With SETI. In: CIDR (2003)
Chung, L., Worthington, B., Horst, R., Gray, J.: Windows 200 Disk IO Performance. Microsoft technical report, MS-TR-2000-55 (June 2000)
Gupta, S., Kopparty, S., Ravishankar, C.V.: Roads, Codes and Spatiotemporal Queries. In: PODS, pp. 115–124 (2004)
Hadjieleftheriou, M.: Spatial Index Library, http://www.cs.ucr.edu/~marioh/spatialindex/index.html
Hadjieleftheriou, M., Kollios, G., Gunopulos, D., Tsotras, V.J.: Indexing Spatio-temporal Archives. The VLDB Journal (to appear)
Hadjieleftheriou, M., Kollios, G., Tsotras, V.J., Gunopulos, D.: Efficient Indexing of Spatiotemporal Objects. In: Jensen, C.S., Jeffery, K., Pokorný, J., Šaltenis, S., Bertino, E., Böhm, K., Jarke, M. (eds.) EDBT 2002. LNCS, vol. 2287, pp. 251–268. Springer, Heidelberg (2002)
Kollios, G., Gunopulos, D., Tsotras, V.J.: On Indexing Mobile Objects. In: PODS 1999, pp. 261–272. ACM Press, New York (1999)
Kollios, G., Tsotras, V.J., Gunopulos, D., Delis, A., Hadjieleftheriou, M.: Indexing Animated Objects Using Spatiotemporal Access Methods. TKDE 13(5), 758–777 (2001)
Mason, J.C., Handscomb, D.: Chebyshev Polynomials. Chapman and Hall, Boca Raton (2003)
Federal Communications Commision. Enhanced 911, http://www.fcc.gov/911/enhanced/
Nascimento, M.A., Silva, J.R.O.: Towards Historical R-trees. In: Proceedings of the 1998 ACM symposium on Applied Computing, pp. 235–240. ACM Press, New York (1998)
Papadias, D., Zhang, J., Mamoulis, N., Tao, Y.: Query Processing in Spatial Network Databases. In: VLDB, pp. 802–813 (2003)
Patel, J.M., Chen, Y., Chakka, V.P.: STRIPES: An Efficient Index for Predicted Trajectories. In: SIGMOD Conference, pp. 637–646 (2004)
Pfoser, D., Jensen, C.S., Theodoridis, Y.: Novel Approaches in Query Processing for Moving Object Trajectories. In: VLDB 2000, pp. 395–406. Morgan Kaufmann Publishers Inc., San Francisco (2000)
Porkaew, K., Lazaridis, I., Mehrotra, S.: Querying Mobile Objects in Spatio-Temporal Databases. In: Jensen, C.S., Schneider, M., Seeger, B., Tsotras, V.J. (eds.) SSTD 2001. LNCS, vol. 2121, pp. 59–78. Springer, Heidelberg (2001)
Saltenis, S., Jensen, C.S., Leutenegger, S.T., Lopez, M.A.: Indexing the Positions of Continuously Moving Objects. In: SIGMOD Conference, pp. 331–342 (2000)
Tao, Y., Faloutsos, C., Papadias, D., Liu, B.: Prediction and Indexing of Moving Objects with Unknown Motion Patterns. In: SIGMOD Conference, pp. 611–622 (2004)
Tao, Y., Papadias, D.: MV3R-Tree: A Spatio-Temporal Access Method for Timestamp and Interval Queries. In: VLDB 2001, pp. 431–440. Morgan Kaufmann Publishers Inc., San Francisco (2001)
Tao, Y., Papadias, D., Sun, J.: The TPR*-Tree: An Optimized Spatio-Temporal Access Method for Predictive Queries. In: VLDB, pp. 790–801 (2003)
Theodoridis, Y., Vazirgiannis, M., Sellis, T.: Spatio-Temporal Indexing For Large Multimedia Applications. In: ICMCS 1996. IEEE Computer Society Press, Los Alamitos (1996)
Xu, X., Han, J., Lu, W.: RT-tree: An Improved R-tree Index Structure For Spatiotemporal Databases. In: Proc. of the 4th Intl. Symposium on Spatial Data Handling (1990)
Zhu, H., Su, J., Ibarra, O.H.: Trajectory Queries and Octagons in Moving Object Databases. In: CIKM, pp. 413–421 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ni, J., Ravishankar, C.V. (2005). PA-Tree: A Parametric Indexing Scheme for Spatio-temporal Trajectories. In: Bauzer Medeiros, C., Egenhofer, M.J., Bertino, E. (eds) Advances in Spatial and Temporal Databases. SSTD 2005. Lecture Notes in Computer Science, vol 3633. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11535331_15
Download citation
DOI: https://doi.org/10.1007/11535331_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28127-6
Online ISBN: 978-3-540-31904-7
eBook Packages: Computer ScienceComputer Science (R0)