Definition
Query processing in Spatial Network Databases (SNDBs) involves the following challenges: First, the distances between objects depend on their network connectivity and it is computationally expensive to compute these distances (e.g., shortest paths). Second, even when the distance can be approximated by simple vector distances, the query itself involves complex distance-based optimization problems. Several studies propose the use of Voronoi diagrams for spatial query processing in spatial networks. The ability of Voronoi diagrams to encode different geometric relationships based on arbitrary distance metrics in various spaces makes them ideal utilities to address the above challenges.
This entry shows the effectiveness of network Voronoi diagrams in answering two different spatial queries as case studies: k Nearest Neighbor (kNN) query finds the kclosest spatial objects to a given query...
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Guttman A (1984) R-trees: a dynamic index structure for spatial searching. In: Proceedings of the 1984 ACM SIGMOD international conference on management of data (SIGMOD’84), New York. ACM Press, pp 47–57
Hadjieleftheriou M, Kollios G, Bakalov P, Tsotras VJ (2005) Complex spatio-temporal pattern queries. In: Proceedings of the 31st international conference on very large data bases (VLDB’05), Trondheim, pp 877–888
Hagedoorn M (2003) Nearest neighbors can be found efficiently if the dimension is small relative to the input size. In: Proceedings of the 9th international conference on database theory – ICDT 2003, Siena. Volume 2572 of lecture notes in computer science. Springer, pp 440–454
Kolahdouzan M, Shahabi C (2004) Voronoi-based K nearest neighbor search for spatial network databases. In: VLDB 2004, Toronto
Korn F, Muthukrishnan S (2000) Influence sets based on reverse nearest neighbor queries. In: Proceedings of the 2000 ACM SIGMOD international conference on management of data, Dallas. ACM Press, pp 201–212
Li F, Cheng D, Hadjieleftheriou M, Kollios G, Teng SH (2005) On trip planning queries in spatial databases. In: Proceedings of the 9th international symposium on spatial and temporal databases (SSTD’05), Angra dos Reis. Volume 3633 of lecture notes in computer science. Springer, pp 273–290
Okabe A, Boots B, Sugihara K, Chiu SN (2000) Spatial tessellations, concepts and applications of voronoi diagrams, 2nd edn. John Wiley and Sons Ltd., Chichester/New York
Papadias D, Zhang J, Mamoulis N, Tao Y Query processing in spatial network databases. In: VLDB 2003, Berlin
Sharifzadeh M, Kolahdouzan M, Shahabi C (2007) The optimal sequenced route query. VLDB J 17:765–787
Sharifzadeh M, Shahabi C, Processing optimal sequenced route queries using voronoi diagrams. Submitted for review
Sharifzadeh M, Shahabi C (2006a) Additively weighted voronoi diagrams for optimal sequenced route queries. In: Proceedings of the 3rd international workshop on spatio-temporal database management (STDBM’06), CEUR workshop proceedings
Sharifzadeh M, Shahabi C (2006b) The spatial skyline queries. In: Proceedings of the 32nd international conference on very large data bases (VLDB’06), Seoul, pp 751–762
Stanoi I, Riedewald M, Agrawal D, Abbadi AE (2001) Discovery of influence sets in frequently updated databases. In: Proceedings of the 27th international conference on very large data bases (VLDB’01), Roma. Morgan Kaufmann Publishers Inc., pp 99–108
Terrovitis M, Bakiras S, Papadias D, Mouratidis K (2005) Constrained shortest path computation. In: Proceedings of the 9th international symposium on spatial and temporal databases (SSTD’05), Angra dos Reis. Volume 3633 of lecture notes in computer science. Springer, pp 181–199
Zhang J, Zhu M, Papadias D, Tao Y, Lee DL (2003) Location-based spatial queries. In: Proceedings of the 2003 ACM SIGMOD international conference on management of data, San Diego. ACM Press, pp 443–454
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this entry
Cite this entry
Shahabi, C., Sharifzadeh, M. (2017). Voronoi Diagrams for Query Processing. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_1462
Download citation
DOI: https://doi.org/10.1007/978-3-319-17885-1_1462
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17884-4
Online ISBN: 978-3-319-17885-1
eBook Packages: Computer ScienceReference Module Computer Science and Engineering