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GraCT: A Grammar Based Compressed Representation of Trajectories

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String Processing and Information Retrieval (SPIRE 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9954))

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Abstract

We present a compressed data structure to store free trajectories of moving objects (ships over the sea, for example) allowing spatio-temporal queries. Our method, GraCT, uses a \(k^2\)-tree to store the absolute positions of all objects at regular time intervals (snapshots), whereas the positions between snapshots are represented as logs of relative movements compressed with Re-Pair. Our experimental evaluation shows important savings in space and time with respect to a fair baseline.

This work was funded in part by European Unions Horizon 2020 Marie Skłodowska-Curie grant agreement No. 690941; Ministerio de Economía y Competitividad under grants [TIN2013-46238-C4-3-R], [CDTI IDI-20141259], [CDTI ITC-20151247], and [CDTI ITC-20151305]; Xunta de Galicia (co-founded with FEDER) under grant [GRC2013/053]; and Fondecyt Grant 1-140796, Chile.

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Notes

  1. 1.

    We informally define trajectory as a list of positions in consecutive time instants.

  2. 2.

    The size of the compressed data structure as a percentage of the original dataset.

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Author information

Authors and Affiliations

  1. Depto. de Computación, Universidade da Coruña, Coruña, Spain

    Nieves R. Brisaboa, Adrián Gómez-Brandón & José R. Paramá

  2. Department of Computer Science, University of Chile, Santiago, Chile

    Gonzalo Navarro

Authors
  1. Nieves R. Brisaboa
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  2. Adrián Gómez-Brandón
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  3. Gonzalo Navarro
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  4. José R. Paramá
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Corresponding author

Correspondence to José R. Paramá .

Editor information

Editors and Affiliations

  1. Kyushu University , Fukuoka, Japan

    Shunsuke Inenaga

  2. Mathematical Informatics, University of Tokyo , Tokyo, Japan

    Kunihiko Sadakane

  3. Computer Science, Waseda University , Tokyo, Japan

    Tetsuya Sakai

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Brisaboa, N.R., Gómez-Brandón, A., Navarro, G., Paramá, J.R. (2016). GraCT: A Grammar Based Compressed Representation of Trajectories. In: Inenaga, S., Sadakane, K., Sakai, T. (eds) String Processing and Information Retrieval. SPIRE 2016. Lecture Notes in Computer Science(), vol 9954. Springer, Cham. https://doi.org/10.1007/978-3-319-46049-9_21

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  • DOI: https://doi.org/10.1007/978-3-319-46049-9_21

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  • Online ISBN: 978-3-319-46049-9

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