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International Symposium on String Processing and Information Retrieval

SPIRE 2018: String Processing and Information Retrieval pp 102–116Cite as

3DGraCT: A Grammar-Based Compressed Representation of 3D Trajectories

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11147))

Abstract

Much research has been published about trajectory management on the ground or at the sea, but compression or indexing of flight trajectories have usually been less explored. However, air traffic management is a challenge because airspace is becoming more and more congested, and large flight data collections must be preserved and exploited for varied purposes. This paper proposes 3DGraCT, a new method for representing these flight trajectories. It extends the GraCT compact data structure to cope with a third dimension (altitude), while retaining its space/time complexities. 3DGraCT improves space requirements of traditional spatio-temporal data structures by two orders of magnitude, being competitive for the considered types of queries, even leading the comparison for a particular one.

This work was funded in part by EU H2020 MSCA RISE BIRDS: 690941; MINECO-AEI/FEDER-UE: TIN2016-78011-C4-1-R; MINECO-CDTI/FEDER-UE CIEN IDI-20141259; MINECO-CDTI/FEDER-UE CIEN IDI-20150616; MINECO-CDTI/FEDER-UE INNTERCONECTA ITC-20161074; Xunta de Galicia/FEDER-UE ED431C 2017/58 and ED431G/01.

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Notes

  1. 1.

    From now on, we will refer to them simply as objects or moving objects.

  2. 2.

    Note that only shaded structures are used to encode the snapshot, the other ones are used for illustration purposes.

  3. 3.

    \(\langle z,x,y \rangle \) notation indicated that these three values are packed in a 32-bit integer.

  4. 4.

    https://opensky-network.org/.

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Author information

Authors and Affiliations

  1. CITIC, Universidade da Coruña, A Coruña, Spain

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

  2. Universidad de Valladolid, Valladolid, Spain

    Miguel A. Martínez-Prieto

Authors
  1. Nieves R. Brisaboa
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  2. Adrián Gómez-Brandón
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  3. Miguel A. Martínez-Prieto
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  4. José Ramón Paramá
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Corresponding author

Correspondence to Adrián Gómez-Brandón .

Editor information

Editors and Affiliations

  1. Diego Portales University, Santiago, Chile

    Travis Gagie

  2. The University of Melbourne, Melbourne, VIC, Australia

    Alistair Moffat

  3. University of Chile, Santiago, Chile

    Gonzalo Navarro

  4. Universidad de Ingeniería y Tecnología, Lima, Peru

    Ernesto Cuadros-Vargas

Appendix

Appendix

The datasets used in our experimentaion have been obtained from the OpenSky NetworkFootnote 4. We have chosen ADS-B messages broadcasted by aircrafts of 30 different airlines and describe flights between 30 European airports:

  • Airlines (ICAO code): AEA, AEE, AFR, AUA, AZA, BAW, BEE, BEL, BER, DLH, EIN, EWG, EZS, EZY, FDX, FIN, GWI, IBE, IBK, IBS, KLM, LOT, NAX, NLY, RYR, SAS, SHT, SWR, TAP, and VLG.

  • Airports (ICAO code): EBBR, EDDF, EDDK, EDDL, EDDM, EDDT, EFHK, EGCC, EGKK, EGLL, EGPH, EGSS, EHAM, EIDW, EKCH, ENGM, EPWA, ESSA, LEBL, LEMD, LEPA, LFPG, LFPO, LGAV, LIMC, LIRF, LOWW, LPPT, LSGG, and LSZH.

ADS-B messages were captured from 2017-01-02 to 2017-01-31, and sampled as follows:

  • 1day : 2017-01-02.

  • 1week: 2017-01-02 – 2017-01-08.

  • 2weeks: 2017-01-02 – 2017-01-15.

  • 1month: 2017-01-02 – 2017-01-31.

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Brisaboa, N.R., Gómez-Brandón, A., Martínez-Prieto, M.A., Paramá, J.R. (2018). 3DGraCT: A Grammar-Based Compressed Representation of 3D Trajectories. In: Gagie, T., Moffat, A., Navarro, G., Cuadros-Vargas, E. (eds) String Processing and Information Retrieval. SPIRE 2018. Lecture Notes in Computer Science(), vol 11147. Springer, Cham. https://doi.org/10.1007/978-3-030-00479-8_9

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  • DOI: https://doi.org/10.1007/978-3-030-00479-8_9

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