Abstract
The ability to represent and query continuously moving objects is important in many applications of spatio-temporal database systems. In this paper we develop data structures for answering various queries on moving objects, including range and proximity queries, and study tradeoffs between various performance measures—query time, data structure size, and accuracy of results.
Research by the first and fourth authors is supported by NSF under grants CCR-0086013, EIA-9870724, EIA-0131905, and CCR-0204118, and by a grant from the U.S.–Israel Binational Science Foundation. Research by the second author is supported by NSF under grants EIA-9972879, CCR-9984099, EIA-0112849, and INT-0129182. Research by the third author is supported by NSF under grants CCR-0093348, DMR-0121695 and CCR-0219594.
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References
Agarwal, P.K., Arge, L., Erickson, J.: Indexing moving points. J. Comput. Syst. Sci. 66, 207–243 (2003)
Agarwal, P.K., Arge, L., Vahrenhold, J.: Time responsive external data structures for moving points. In: Proc. 7th Workshop on Algorithms and Data Structures, pp. 50–61 (2001)
Agarwal, P.K., Erickson, J.: Geometric range searching and its relatives. In: Chazelle, B., Goodman, J., Pollack, R. (eds.) Advances in Discrete and Computational Geometry, pp. 1–56. American Mathematical Society, Providence (1999)
Agarwal, P.K., Gao, J., Guibas, L.: Kinetic medians and kd-trees. In: Proc. 10th European Symposium on Algorithms, pp. 5–16 (2002)
Agarwal, P.K., Guibas, L., Hershberg, J., Veach, E.: Maintaining the extent of a moving point set. Discrete Comput. Geom. 26, 253–274 (2001)
Agarwal, P.K., Har-Peled, S., Varadarajan, K.: Approximating extent measure of points. Journal of the ACM (to appear)
Agarwal, P.K., Procopiuc, C.M.: Advances in indexing for moving objects. IEEE Bulletin of Data Engineering 25, 25–34 (2002)
Agarwal, P.K., Sharir, M.: Arrangements and their applications. In: Sack, J.-R., Urrutia, J. (eds.) Handbook of Computational Geometry, pp. 49–119. Elsevier Science Publishers, North-Holland, Amsterdam (2000)
Basch, J., Guibas, L., Hershberger, J.: Data structures for mobile data. J. Algorithms 31(1), 1–28 (1999)
Brönnimann, H., Chazelle, B.: Optimal slope selection via cuttings. Comp. Geom. Theory & Appl. 10(1), 23–29 (1998)
Chan, T.M.: Fixed-dimensional linear programming queries made easy. In: Proc. 12th Annu. Sympos. Comput. Geom., pp. 284–290 (1996)
Chan, T.M.: Faster core-set constructions and data stream algorithms in fixed dimensions. In: Proc. 20th Annu. Sympos. Comput. Geom., pp. 152–159 (2004)
Chazelle, B.: Cutting hyperplanes for divide-and-conquer. Discrete Comput. Geom. 9, 145–158 (1993)
Chazelle, B., Edelsbrunner, H., Guibas, L., Sharir, M., Stolfi, J.: Lines in space: Combinatorics and algorithms. Algorithmica 15, 428–447 (1996)
Czumaj, A., Sohler, C.: Soft kinetic data structures. In: Proc. 12th ACM-SIAM Sympos. Discrete Algorithms, pp. 865–872 (2001)
Kollios, G., Gunopulos, D., Tsotras, V.: Nearest neighbor queries in a mobile environment. In: Proc. Intl. Workshop on Spatiotemporal Database Management, pp. 119–134 (1999)
Kollios, G., Gunopulos, D., Tsotras, V.: On indexing mobile objects. In: Proc. ACM Sympos. Principles Database Syst., pp. 261–272 (1999)
Matoušek, J.: Efficient partition trees. Discrete Comput. Geom. 8, 315–334 (1992)
Matoušek, J.: Linear optimization queries. J. Algorithms 14, 432–448 (1993)
Procopiuc, C.M., Agarwal, P.K., Har-Peled, S.: STAR-tree: an efficient selfadjusting index for moving points. In: Proc 4th Workshop on Algorithms Engineering and Experiments, pp. 178–193 (2002)
Ramos, E.: Linear programming queries revisited. In: Proc. 16th Annu. Sympos. Comput. Geom., pp. 176–181 (2000)
Saltenis, S., Jensen, C., Leutenegger, S., López, M.: Indexing the positions of continuously moving objects. In: Proc. SIGMOD Intl. Conf. Management of Data, pp. 331–342 (2000)
Sarnak, N., Tarjan, R.: Planar point location using persistent search trees. Communications of the ACM 29(7), 669–679 (1986)
Yu, H., Agarwal, P.K., Poreddy, R., Varadarajan, K.R.: Practical methods for shape fitting and kinetic data structures using core sets. In: Proc. 20th Annu. Sympos. Comput. Geom., pp. 263–272 (2004)
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Agarwal, P.K., Arge, L., Erickson, J., Yu, H. (2004). Efficient Tradeoff Schemes in Data Structures for Querying Moving Objects. In: Albers, S., Radzik, T. (eds) Algorithms – ESA 2004. ESA 2004. Lecture Notes in Computer Science, vol 3221. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30140-0_3
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DOI: https://doi.org/10.1007/978-3-540-30140-0_3
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