Skip to main content

Approximate Queries for Spatial Data

  • Chapter
Advanced Query Processing

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 36))

Abstract

Approximation techniques for spatial data traditionally concern data capture and data representation issues. On the other hand, more recently developed approximation techniques refer to the query to be executed and not to data representation as in the the past monolithic Geographic Information Systems and for this reason they are called query-based approximation techniques. The aim of this chapter is to survey such approximation techniques and to identify the issues that from our point of view have still to be investigated to complete the picture. In particular, we observe that most of the proposed approaches for spatial approximate queries rely on the usage of quantitative, i.e., metric (distance-based), information. On the other hand, only few of them take into account qualitative information, e.g., topological and cardinal spatial relations. Based on this consideration, we provide new types of queries relying on qualitative relations and we discuss how the query processing algorithms already defined for metric relations can be extended to cope with qualitative information.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. Acharya, S., Gibbons, P.B., Poosala, V., Ramaswamy, S.: Join Synopses for Approximate Query Answering. In: SIGMOD Conference, pp. 275–286 (1999)

    Google Scholar 

  2. Agrawal, S., Chaudhuri, S., Das, G., Gionis, A.: Automated Ranking of Database Query Results. In: CIDR (2003)

    Google Scholar 

  3. Azevedo, L.G., Zimbrão, G., de Souza, J.M.: Approximate Query Processing in Spatial Databases Using Raster Signatures. In: GeoInfo, pp. 53–72 (2006)

    Google Scholar 

  4. Babcock, B., Chaudhuri, S., Das, G.: Dynamic Sample Selection for Approximate Query Processing. In: SIGMOD Conference, pp. 539–550 (2003)

    Google Scholar 

  5. Bakalov, P., Hadjieleftheriou, M., Tsotras, V.J.: Time Relaxed Spatiotemporal Trajectory Joins. In: GIS, pp. 182–191 (2005)

    Google Scholar 

  6. Belussi, A., Boucelma, O., Catania, B., Lassoued, Y., Podestà, P.: Towards Similarity-Based Topological Query Languages. In: Grust, T., et al. (eds.) EDBT 2006. LNCS, vol. 4254, pp. 675–686. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Belussi, A., Catania, B., Podestà, P.: Using Qualitative Information in Query Processing over Multiresolution Maps. In: Spatial Data on the Web: Modeling and Management, pp. 159–186. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  8. Belussi, A., Catania, B., Podestà, P.: Topological Operators: a Relaxed Query Processing Approach. GeoInformatica 16(1), 67–110 (2012)

    Article  Google Scholar 

  9. Berchtold, S., Böhm, C., Keim, D.A., Kriegel, H.P.: A Cost Model For Nearest Neighbor Search in High-Dimensional Data Space. In: PODS, pp. 78–86 (1997)

    Google Scholar 

  10. Börzsönyi, S., Kossmann, D., Stocker, K.: The Skyline Operator. In: ICDE, pp. 421–430 (2001)

    Google Scholar 

  11. Bruns, H.T., Egenhofer, M.J.: Similarity of Spatial Scenes. In: 7th Symposium on Spatial Data Handling, pp. 31–42 (1996)

    Google Scholar 

  12. Butenuth, M., Gösseln, G.V.: Integration of Heterogeneous Geospatial Data in a Federated Database. ISPRS Journal of Photogrammetry and Remote Sensing 62(5), 328–346 (2007), Theme Issue: Distributed Geoinformatics - From Sensors to Systems, http://www.sciencedirect.com/science/article/pii/S0924271607000275 , doi:10.1016/j.isprsjprs.2007.04.003

    Article  Google Scholar 

  13. Catania, B., Guerrini, G.: Towards Adaptively Approximated Search in Distributed Architectures. In: Vakali, A., Jain, L.C. (eds.) New Directions in Web Data Management 1. Studies in Computational Intelligence, vol. 331, pp. 171–212. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  14. Chakrabarti, K., Garofalakis, M.N., Rastogi, R., Shim, K.: Approximate Query Processing using Wavelets. VLDB J 10(2-3), 199–223 (2001)

    MATH  Google Scholar 

  15. Clementini, E., Felice, P.D., van Oosterom, P.: A Small Set of Formal Topological Relationships Suitable for End-User Interaction. In: SSD, pp. 277–295 (1993)

    Google Scholar 

  16. Corral, A., Manolopoulos, Y., Theodoridis, Y., Vassilakopoulos, M.: Closest Pair Queries in Spatial Databases. In: SIGMOD Conference, pp. 189–200 (2000)

    Google Scholar 

  17. Corral, A., Manolopoulos, Y., Theodoridis, Y., Vassilakopoulos, M.: Distance Join Queries of Multiple Inputs in Spatial Databases. In: Kalinichenko, L.A., Manthey, R., Thalheim, B., Wloka, U. (eds.) ADBIS 2003. LNCS, vol. 2798, pp. 323–338. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  18. Corral, A., Manolopoulos, Y., Theodoridis, Y., Vassilakopoulos, M.: Multi-Way Distance Join Queries in Spatial Databases. Geoinformatica 8, 373–402 (2004)

    Article  Google Scholar 

  19. Corral, A., Vassilakopoulos, M.: Approximate Computation of Distance-Based Queries. In: Spatial Databases, pp. 130–154 (2005)

    Google Scholar 

  20. Corral, A., Vassilakopoulos, M.: On Approximate Algorithms for Distance-Based Queries using R-trees. Comput. J. 48(2), 220–238 (2005)

    Article  Google Scholar 

  21. Egenhofer, M.J., Al-Taha, K.K.: Reasoning about Gradual Changes of Topological Relationships. In: Spatio-Temporal Reasoning, pp. 196–219 (1992)

    Google Scholar 

  22. Egenhofer, M.J., Franzosa, R.D.: Point Set Topological Relations. Int. Journal of Geographical Information Systems 5, 161–174 (1991)

    Article  Google Scholar 

  23. Egenhofer, M.J., Mark, D.M.: Modeling Conceptual Neighborhoods of Topological Line-Region Relations. Int. Journal of Geographical Information Systems 9(5), 555–565 (1995)

    Article  Google Scholar 

  24. Goodchild, M.F.: Measurement-based GIS. In: Shi, W., Fisher, P., Goodchild, M. (eds.) Spatial Data Quality, pp. 5–17. Taylor and Francis (2002)

    Google Scholar 

  25. Goyal, R.K., Egenhofer, M.J.: Consistent Queries over Cardinal Directions across Different Levels of Detail. In: DEXA Workshop, pp. 876–880 (2000)

    Google Scholar 

  26. Guo, X., Ishikawa, Y., Gao, Y.: Direction-Based Spatial Skylines. In: MobiDE, pp. 73–80 (2010)

    Google Scholar 

  27. Guttman, A.: R-Trees: A Dynamic Index Structure for Spatial Searching. In: SIGMOD Conference, pp. 47–57 (1984)

    Google Scholar 

  28. Hjaltason, G.R., Samet, H.: Distance Browsing in Spatial Databases. ACM Trans. Database Syst. 24(2), 265–318 (1999)

    Article  Google Scholar 

  29. Hsueh, Y.-L., Zimmermann, R., Yang, M.-H.: Approximate Continuous K Nearest Neighbor Queries for Continuous Moving Objects with Pre-Defined Paths. In: Akoka, J., Liddle, S.W., Song, I.-Y., Bertolotto, M., Comyn-Wattiau, I., van den Heuvel, W.-J., Kolp, M., Trujillo, J., Kop, C., Mayr, H.C. (eds.) ER Workshops 2005. LNCS, vol. 3770, pp. 270–279. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  30. Ilyas, I.F., Beskales, G., Soliman, M.A.: A Survey of Top-k Query Processing Techniques in Relational Database Systems. ACM Comput. Surv. 40(4), 11:1–11:58 (2008)

    Google Scholar 

  31. Inc., O.G.C.: OpenGIS Implementation Standard for Geographic information - Simple feature access - Part 1: Common architecture. OpenGIS Implementation Standard (2010)

    Google Scholar 

  32. Jhingran, A.: Enterprise Information Mashups: Integrating Information, Simply. In: VLDB, pp. 3–4 (2006)

    Google Scholar 

  33. Kadlag, A., Wanjari, A.V., Freire, J.-L., Haritsa, J.R.: Supporting Exploratory Queries in Databases. In: Lee, Y., Li, J., Whang, K.-Y., Lee, D. (eds.) DASFAA 2004. LNCS, vol. 2973, pp. 594–605. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  34. Kossmann, D., Ramsak, F., Rost, S.: Shooting Stars in the Sky: An Online Algorithm for Skyline Queries. In: VLDB, pp. 275–286 (2002)

    Google Scholar 

  35. Lee, D.: Query Relaxation for XML Model. Ph.D. thesis. University of California (2002)

    Google Scholar 

  36. Mamoulis, N., Papadias, D.: Multiway Spatial Joins. ACM Trans. Database Syst. 26(4), 424–475 (2001)

    Article  MATH  Google Scholar 

  37. Mishra, C., Koudas, N.: Interactive Query Refinement. In: EDBT, pp. 862–873 (2009)

    Google Scholar 

  38. Navratil, G., Franz, M., Pontikakis, E.: Measurement-Based GIS Revisited. In: 7th AGILE Conference on Geographic Information Science, pp. 771–775 (2004)

    Google Scholar 

  39. Papadias, D., Arkoumanis, D.: Approximate Processing of Multiway Spatial Joins in Very Large Databases. In: Jensen, C.S., Jeffery, K., Pokorný, J., Šaltenis, S., Bertino, E., Böhm, K., Jarke, M. (eds.) EDBT 2002. LNCS, vol. 2287, pp. 179–196. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  40. Papadias, D., Kalnis, P., Zhang, J., Tao, Y.: Efficient OLAP Operations in Spatial Data Warehouses. In: Jensen, C.S., Schneider, M., Seeger, B., Tsotras, V.J. (eds.) SSTD 2001. LNCS, vol. 2121, pp. 443–459. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  41. Papadias, D., Tao, Y., Fu, G., Seeger, B.: Progressive Skyline Computation in Database Systems. ACM Trans. Database Syst. 30(1), 41–82 (2005)

    Article  Google Scholar 

  42. Papadias, D., Theodoridis, Y., Sellis, T.K., Egenhofer, M.J.: Topological Relations in the World of Minimum Bounding Rectangles: A Study with R-trees. In: SIGMOD Conference, pp. 92–103 (1995)

    Google Scholar 

  43. Peltzer, J.B., Teredesai, A., Reinard, G.: AQUAGP: Approximate QUery Answers Using Genetic Programming. In: Collet, P., Tomassini, M., Ebner, M., Gustafson, S., Ekárt, A. (eds.) EuroGP 2006. LNCS, vol. 3905, pp. 49–60. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  44. Podestà, P.: Query Processing and Analysis of Multi-resolution Spatial Data in Distributed Architecture. Ph.D. thesis. University of Genoa, Italy (2010)

    Google Scholar 

  45. Radwan, M., Alvarez, L., Onchaga, R., Morales, J.: The Changing Role of the Geo-Data Infrastructure: from a Data Delivery Network to a Virtual Enterprise Supporting Complex Services. In: ISPRS 2004 Photogrammetry and Remote Sensing, pp. 194–199 (2004)

    Google Scholar 

  46. Rigaux, P., Scholl, M., Voisard, A.: Spatial Databases - with Applications to GIS. Elsevier (2002)

    Google Scholar 

  47. Rote, G.: Computing the Minimum Hausdorff Distance Between Two Point Sets on a Line Under Translation. Inf. Process. Lett. 38(3), 123–127 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  48. Roussopoulos, N., Kelley, S., Vincent, F.: Nearest Neighbor Queries. In: SIGMOD Conference, pp. 71–79 (1995)

    Google Scholar 

  49. Shan, J., Zhang, D., Salzberg, B.: On Spatial-Range Closest-Pair Query. In: SSTD, pp. 252–269 (2003)

    Google Scholar 

  50. Sharifzadeh, M., Shahabi, C.: The Spatial Skyline Queries. In: VLDB, pp. 751–762 (2006)

    Google Scholar 

  51. Sharifzadeh, M., Shahabi, C., Kazemi, L.: Processing Spatial Skyline Queries in both Vector Spaces and Spatial Network Databases. ACM Trans. Database Syst. 34(3), 14:1–14:45 (2009)

    Google Scholar 

  52. Silva, Y.N., Aref, W.G., Ali, M.H.: The Similarity Join Database Operator. In: ICDE, pp. 892–903 (2010)

    Google Scholar 

  53. Skiadopoulos, S., Giannoukos, C., Sarkas, N., Vassiliadis, P., Sellis, T.K., Koubarakis, M.: Computing and Managing Cardinal Direction Relations. IEEE Trans. Knowl. Data Eng. 17(12), 1610–1623 (2005)

    Article  Google Scholar 

  54. Son, W., Lee, M.-W., Ahn, H.-K., Hwang, S.-w.: Spatial Skyline Queries: An Efficient Geometric Algorithm. In: Mamoulis, N., Seidl, T., Pedersen, T.B., Torp, K., Assent, I. (eds.) SSTD 2009. LNCS, vol. 5644, pp. 247–264. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  55. Tan, K.L., Eng, P.K., Ooi, B.C.: Efficient Progressive Skyline Computation. In: VLDB, pp. 301–310 (2001)

    Google Scholar 

  56. Tian, Y., Lee, K.C.K., Lee, W.C.: Finding Skyline Paths in Road Networks. In: GIS, pp. 444–447 (2009)

    Google Scholar 

  57. Xia, T., Zhang, D., Kanoulas, E., Du, Y.: On Computing Top-t Most Influential Spatial Sites. In: VLDB, pp. 946–957 (2005)

    Google Scholar 

  58. Yao, B., Li, F., Hadjieleftheriou, M., Hou, K.: Approximate String Search in Spatial Databases. In: ICDE, pp. 545–556 (2010)

    Google Scholar 

  59. Yiu, M.L., Dai, X., Mamoulis, N., Vaitis, M.: Top-k Spatial Preference Queries. In: ICDE, pp. 1076–1085 (2007)

    Google Scholar 

  60. Zhang, J., Mamoulis, N., Papadias, D., Tao, Y.: All-Nearest-Neighbors Queries in Spatial Databases. In: SSDBM, pp. 297–306 (2004)

    Google Scholar 

  61. Zhu, M., Papadias, D., Zhang, J., Lee, D.L.: Top-k Spatial Joins. IEEE Trans. on Knowl. and Data Eng. 17(4), 567–579 (2005)

    Article  Google Scholar 

  62. Zimbrao, G., de Souza, J.M.: A Raster Approximation for Processing of Spatial Joins. In: VLDB, pp. 558–569 (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alberto Belussi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Belussi, A., Catania, B., Migliorini, S. (2013). Approximate Queries for Spatial Data. In: Catania, B., Jain, L. (eds) Advanced Query Processing. Intelligent Systems Reference Library, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28323-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28323-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28322-2

  • Online ISBN: 978-3-642-28323-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics