Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/182591.182640acmconferencesArticle/Chapter ViewAbstractPublication PagespodsConference Proceedingsconference-collections
Article
Free access

Towards a theory of spatial database queries (extended abstract)

Published: 24 May 1994 Publication History

Abstract

A general model for spatial databases is considered, which extends the relational model by allowing as tuple components not only atomic values but also geometrical figures. The model, which is inspired by the work of Kanellakis, Kuper and Revesz on constraint query languages, includes a calculus and an algebra which are equivalent. Given this framework, the concept of spatial database query is investigated. Thereto, Chandra and Harel's well-known consistency criterion for classical relational queries is adapted. Various adaptations are proposed, depending on the kinds of geometry in which the spatial information in the database is to be interpreted. The consistency problem for calculus queries is studied. Expressiveness issues are examined. The main purpose of the paper is to open up new grounds for theoretical research in the area of spatial database systems. Consequently, many open problems are indicated.

References

[1]
D. Abel and B.C. Ooi, editors. Advances in spatial databases--3rd Symposium SSD'93, volume 692 of Lecture Notes in Computer Science. Springer- Verlag, 1993.
[2]
D.S. Arnon. Geometric reasoning with logic and algebra. Artificial Intelligence, 37:37-60, 1988.
[3]
A.V. Aho, Y. Sagiv, and J.D. Ullman. Equivalences among relational expressions. SIAM Journal on Computing, 8(2):218-246, 1979.
[4]
A.V. Aho and J.D. Ullman. Universality of data retrieval languages. In Proceedings of the A CM Symposium on Principles of Programming Languages, pages 110-120, 1979.
[5]
J. Bochnak, M. Coste, and M.-F. Roy. Ggomgtrie alggbrique rgelle. Springer- Verlag, 1987.
[6]
A. Buchmann, editor. Design and iraplementation of large spatial databases-- First Symposium SSD'89, volume 409 of Lecture Notes in Computer Science. Springer-Verlag, 1989.
[7]
A. Chandra and D. Harel. Computable queries for relational database systems. Journal of Computer and System Sciences, 21(2):156-178, 1980.
[8]
G.E. Collins. Quantifier elimination for real closed fields by cylindrical algebraic decomposition. Lecture Notes in Computer Science, 33:134-183, 1975.
[9]
M.J. Egenhofer and R.D. Franzosa. Point-set topological spatial relations. Int. J. Geographical Information Systems, 5(2):161-174, 1991.
[10]
E. Engeler. Foundations of Mathematics. Springer-Verl#g, 1993.
[11]
S. Grumbach and J. Su. Finitely representable databases. These Proceedings.
[12]
O. Gunther #nd H.-J. Schek, editors. Advances in spatial databases#2nd Symposium SSD'91, volume 525 of Lecture Notes in Computer Science. Springer- Verlag, 1991.
[13]
J. Heintz, T. Recio, and M.-F. Roy. Algorithms in re#l algebraic geometry and applications to computational geometry. In W. Steiger J. Goodman, R. Pollack, editor, Discrete and computational geometry, volume 6 of DIMA CS Series in Discrete Mathematics and Theoretical Computer Science. AMS-ACM, 1991.
[14]
R. Hull and C.K. Yap. The format model, a theory of database organization. Journal of the ACM, 31(3):518-537, 1984.
[15]
P.C. Kanellakis, G.M. Kuper, and P.Z. Revesz. Constraint query languages. Journal of Computer and System Sciences, to appear. See also Proceedings 9th A CM Symposium on Principles of Database Systems, pages 299-313, 1990.
[16]
J. Renegar. On the computational complexity and geometry of the first-order theory of the reals. Journal of Symbolic Computation, 13, 1992.
[17]
W. Schwabh~user. Addendum. Fund. Math., 103:101, 1979.
[18]
A. Tansel et al., editors. Temporal Databases: Theory, Design, and Implementation. Benjamin/Cummings, 1993.
[19]
A. Tarski. A Decision Method for Elementary Algebra and Geometry. University of California Press, 1951.
[20]
A. Tarski. Wh# #re logicM no#ions? History and Philosophy of Logic, 7:143- 154, 1986. Edited by J. Corcoran.

Cited By

View all
  • (2020)Personal insights for altering decisions of tree-based ensembles over timeProceedings of the VLDB Endowment10.14778/3380750.338075213:6(798-811)Online publication date: 11-Mar-2020
  • (2020)Affine-invariant querying of spatial data using a triangle-based logicGeoinformatica10.1007/s10707-020-00402-124:4(849-879)Online publication date: 1-Oct-2020
  • (2017)A Spatio-Temporal Building Exposure Database and Information Life-Cycle Management SolutionISPRS International Journal of Geo-Information10.3390/ijgi60401146:4(114)Online publication date: 8-Apr-2017
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
PODS '94: Proceedings of the thirteenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
May 1994
313 pages
ISBN:0897916425
DOI:10.1145/182591
  • Chairman:
  • Victor Vianu
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 24 May 1994

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Article

Conference

SIGMOD/PODS94

Acceptance Rates

PODS '94 Paper Acceptance Rate 28 of 117 submissions, 24%;
Overall Acceptance Rate 642 of 2,707 submissions, 24%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)64
  • Downloads (Last 6 weeks)2
Reflects downloads up to 12 Nov 2024

Other Metrics

Citations

Cited By

View all
  • (2020)Personal insights for altering decisions of tree-based ensembles over timeProceedings of the VLDB Endowment10.14778/3380750.338075213:6(798-811)Online publication date: 11-Mar-2020
  • (2020)Affine-invariant querying of spatial data using a triangle-based logicGeoinformatica10.1007/s10707-020-00402-124:4(849-879)Online publication date: 1-Oct-2020
  • (2017)A Spatio-Temporal Building Exposure Database and Information Life-Cycle Management SolutionISPRS International Journal of Geo-Information10.3390/ijgi60401146:4(114)Online publication date: 8-Apr-2017
  • (2017)Affine-Invariant Triangulation of Spatio-Temporal Data with an Application to Image RetrievalISPRS International Journal of Geo-Information10.3390/ijgi60401006:4(100)Online publication date: 28-Mar-2017
  • (2016)Perspectives on global dynamic exposure modelling for geo-risk assessmentNatural Hazards10.1007/s11069-016-2437-386:S1(7-30)Online publication date: 25-Jun-2016
  • (2016)Polynomial Spatial Constraint DatabasesEncyclopedia of GIS10.1007/978-3-319-23519-6_1001-3(1-2)Online publication date: 11-May-2016
  • (2013)Consistent query answering under spatial semantic constraintsInformation Systems10.1016/j.is.2012.08.00538:2(244-263)Online publication date: 1-Apr-2013
  • (2011)A State-of-the-Art in Spatio-Temporal Data Warehousing, OLAP and MiningIntegrations of Data Warehousing, Data Mining and Database Technologies10.4018/978-1-60960-537-7.ch009(200-236)Online publication date: 2011
  • (2011)DatabasesComputer Science10.1007/978-1-4614-1168-0_10(169-229)Online publication date: 22-Oct-2011
  • (2009)Spatial aggregationInformation Systems10.1016/j.is.2009.03.00234:6(551-576)Online publication date: 1-Sep-2009
  • Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media