Skip to main content

Cut-Region: A Compact Building Block for Hierarchical Metric Indexing

  • Conference paper
Similarity Search and Applications (SISAP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7404))

Included in the following conference series:

Abstract

With the emerging applications dealing with complex multimedia retrieval, such as the multimedia exploration, appropriate indexing structures need to be designed. A formalism for compact metric region description can significantly simplify the design of algorithms for such indexes, thus more complex and efficient metric indexes can be developed. In this paper, we introduce the cut-regions that are suitable for compact metric region description and we discuss their basic operations. To demonstrate the power of cut-regions, we redefine the PM-Tree using the cut-region formalism and, moreover, we use the formalism to describe our new improvements of the PM-Tree construction techniques. We have experimentally evaluated that the improved construction techniques lead to query performance originally obtained just using expensive construction techniques. Also in comparison with other metric and spatial access methods, the revisited PM-Tree proved its benefits.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beecks, C., Lokoč, J., Seidl, T., Skopal, T.: Indexing the signature quadratic form distance for efficient content-based multimedia retrieval. In: Proc. ACM International Conference on Multimedia Retrieval (2011)

    Google Scholar 

  2. Beecks, C., Skopal, T., Schoeffmann, K., Seidl, T.: Towards large-scale multimedia exploration. In: Das, G., Hsristidis, V., Ilyas, I. (eds.) Proceedings of the 5th International Workshop on Ranking in Databases (DBRank 2011), pp. 31–33. VLDB, Seattle, WA, USA (2011)

    Google Scholar 

  3. Bolettieri, P., Esuli, A., Falchi, F., Lucchese, C., Perego, R., Piccioli, T., Rabitti, F.: CoPhIR: a test collection for content-based image retrieval. CoRR, abs/0905.4627v2 (2009)

    Google Scholar 

  4. Chávez, E., Navarro, G., Baeza-Yates, R., Marroquín, J.L.: Searching in metric spaces. ACM Computing Surveys 33(3), 273–321 (2001)

    Article  Google Scholar 

  5. Gonzalez, E.C., Figueroa, K., Navarro, G.: Effective proximity retrieval by ordering permutations. IEEE Trans. Pattern Anal. Mach. Intell. 30(9), 1647–1658 (2008)

    Article  Google Scholar 

  6. Ciaccia, P., Patella, M., Zezula, P.: M-tree: An Efficient Access Method for Similarity Search in Metric Spaces. In: VLDB 1997, pp. 426–435 (1997)

    Google Scholar 

  7. Geusebroek, J.-M., Burghouts, G.J., Smeulders, A.W.M.: The Amsterdam Library of Object Images. International Journal of Computer Vision 61(1), 103–112 (2005)

    Article  Google Scholar 

  8. Hetland, M.L.: The Basic Principles of Metric Indexing. In: Coello, C.A.C., Dehuri, S., Ghosh, S. (eds.) Swarm Intelligence for Multi-objective Problems in Data Mining. SCI, vol. 242, pp. 199–232. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Hettich, S., Bay, S.D.: The UCI KDD archive (1999), http://kdd.ics.uci.edu

  10. Jakub, L., Tomáš, S.: On Reinsertions in M-tree. In: SISAP 2008: Proceedings of the First International Workshop on Similarity Search and Applications (SISAP 2008), pp. 121–128. IEEE Computer Society, Washington, DC (2008)

    Google Scholar 

  11. Mico, M.L., Oncina, J., Vidal, E.: A new version of the nearest-neighbour approximating and eliminating search algorithm (aesa) with linear preprocessing time and memory requirements. Pattern Recogn. Lett. 15(1), 9–17 (1994)

    Article  Google Scholar 

  12. Novak, D., Batko, M., Zezula, P.: Metric index: An efficient and scalable solution for precise and approximate similarity search. Inf. Syst. 36(4), 721–733 (2011)

    Article  Google Scholar 

  13. Samet, H.: Foundations of Multidimensional and Metric Data Structures. Morgan Kaufmann (2006)

    Google Scholar 

  14. Skopal, T.: Pivoting M-tree: A Metric Access Method for Efficient Similarity Search. In: Proceedings of the 4th Annual Workshop DATESO, Desná, Czech Republic, pp. 21–31 (2004) ISBN 80-248-0457-3; also available at CEUR, vol. 98, ISSN 1613-0073, http://www.ceur-ws.org/Vol-98

  15. Skopal, T.: Unified framework for fast exact and approximate search in dissimilarity spaces. ACM Transactions on Database Systems 32(4), 1–46 (2007)

    Article  Google Scholar 

  16. Skopal, T., Lokoč, J.: New Dynamic Construction Techniques for M-tree. Journal of Discrete Algorithms 7(1), 62–77 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  17. Skopal, T., Lokoč, J.: Answering Metric Skyline Queries by PM-tree. In: Proceedings of the Dateso 2010 Workshop, vol. 567, pp. 22–37. Matfyz Press (2010)

    Google Scholar 

  18. Skopal, T., Pokorný, J., Snášel, V.: Nearest Neighbours Search Using the PM-Tree. In: Zhou, L.-z., Ooi, B.-C., Meng, X. (eds.) DASFAA 2005. LNCS, vol. 3453, pp. 803–815. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  19. Zezula, P., Amato, G., Dohnal, V., Batko, M.: Similarity Search: The Metric Space Approach. Springer (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lokoč, J., Čech, P., Novák, J., Skopal, T. (2012). Cut-Region: A Compact Building Block for Hierarchical Metric Indexing. In: Navarro, G., Pestov, V. (eds) Similarity Search and Applications. SISAP 2012. Lecture Notes in Computer Science, vol 7404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32153-5_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-32153-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32152-8

  • Online ISBN: 978-3-642-32153-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics