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Multi-Scale partitions: Application to spatial and statistical databases

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 951))

Abstract

We study the impact of scale on data representation from both the modelling and querying points of view. While our starting point was geographical applications, statistical databases also address this problem of data representation at various levels of abstraction. From these requirements, we propose a model which allows: (i) database querying without exact knowledge of the data abstraction level, (ii) the computation of multiple representations of data, one per abstraction level, and (iii) its application to the computation of statistical summaries. The model has been partially implemented with the DBMS O 2 by means of tree-structured domains: we give some examples which illustrate the above features.

Work partially supported by the French CNRS GDR Cassini.

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References

  1. S. Abiteboul and N. Bidoit. Non First Normal Form Relations: an Algebra Allowing Data Restructuring. Journal of Computer and System Sciences, 1986.

    Google Scholar 

  2. F. Bancilhon, S. Cluet, and C. Delobel. A Query Language for an Object-Oriented Database System. In 2nd Int. Worshop on Database Programming Languages (DBPL), pages 301–322, 1989.

    Google Scholar 

  3. B. P. Buttenfield and J. Delotto. Multiple Representation: Report on the Specialist Meeting. Technical Report 89-3, National Center for Geographic Information and Analysis, Santa Barbara, 1989.

    Google Scholar 

  4. F. Bancilhon, C. Delobel, and P. Kannelakis, editors. The O 2 Book. Morgan Kaufmann, 1991.

    Google Scholar 

  5. B.P. Buttenfield and R. P. McMaster. Map Generalization: Making Rules for Knowledge Representation. Longman Scientific&Technical, New-York, 1991.

    Google Scholar 

  6. F. Bancilhon, P. Richard, and M. Scholl. On Line Processing of Compacted Relations. In 8th Int. Conference on Very Large Data Bases (VLDB), Mexico, 1982.

    Google Scholar 

  7. K. E. Brassel and R. Weibel. A Review and Conceptual framework of Automated Map Generalization. Int. Journal of GIS, 2(3):229–244, 1988.

    Google Scholar 

  8. W. W. Chu, Q. Chen, and R. Lee. Cooperative Query Answering via Type Abstraction Hierarchy. In S. M. Deen, editor, Cooperating Knowledge Based Systems, pages 271–292. Elsevier Science Publishing Co. Inc, 1991.

    Google Scholar 

  9. M. C. Chen, L. McNamee, and M. Melkanoff. A Model of Summary Data and its Application in Statistical Databases. In Int. Conference on Statistical and Scientific Database Management (SSDBM), pages 356–387, Rome (Italy), 1988. LNCS No. 339, Springer-Verlag.

    Google Scholar 

  10. C. d'Aubigny and G. d'Aubigny. Agrégation Spatiale et Résumés Statistiques. Revue de géomatique, 4(3–4):307–336, 1994.

    Google Scholar 

  11. S. Ghosh. Statistical Relational Tables for Statistical Database Management. IEEE Transactions on Software Engineering, 12(12):1106–1116, 1986.

    Google Scholar 

  12. S. G. Guptill. Speculations on Seamless, Scaleless Cartographic Data Bases. In Auto-Carto 9, pages 436–443, 1989.

    Google Scholar 

  13. C. B. Jones. Database Architecture for Multi-scale GIS. In ASPRS/ACSM, pages 1–14, Baltimore, 1991.

    Google Scholar 

  14. J. P. Lagrange and A. Ruas. Data & Knowledge Modelling for Generalization. In Int. Conference on Spatial Data Handling (SDH), pages 1099–1117, Edinburgh, 1994.

    Google Scholar 

  15. F. M. Malvestuto. The Derivation Problem for Summary Data. In Int. Conference on Management of Data (ACM-SIGMOD), pages 82–89, Chicago, 1988.

    Google Scholar 

  16. J. C. Muller, J. P. Lagrange, and R. Weibel, editors. GISs and Generalization. Taylor & Francis, London, 1995.

    Google Scholar 

  17. A. Motro. Query Generalization: A Method for Interpreting Null Answers. In Int. Workshop on Expert Database Systems, pages 597–616, 1986.

    Google Scholar 

  18. A. Motro. VAGUE: a User Interface to Relational Databases that Permits Vague Queries. ACM Transactions on Office Information Systems, 6(3):187–214, 1988.

    Google Scholar 

  19. J. P. Peloux and P. Rigaux. A Loosely Coupled Interface to an Object-Oriented Geographic Database. In Spatial Information Theory (COSIT), 1995. To appear.

    Google Scholar 

  20. P. Rigaux. Interfaces Visuelles et Représentation Multiple dans les Bases de Données Spatiales. Thèse de doctorat CNAM, 1995.

    Google Scholar 

  21. M. Rafanelli and A. Shoshani. STROM: a Statistical Object Representation Model. In Int. Conference on Statistical and Scientific Database Management (SSDBM), pages 14–29, Charlotte (USA), 1990. LNCS No. 420, Springer-Verlag.

    Google Scholar 

  22. P. Rigaux and M. Scholl. Multiple Representation Modelling and Querying. In Int. Workshop on GIS (IGIS'94), pages 59–69, Ascona, Switzerland, 1994. LNCS No. 884, Springer-Verlag.

    Google Scholar 

  23. A. Shoshani. Statistical Databases: Characteristics, Problems, and Some Solutions. In Int. Conference on Very Large Databases (VLDB), Mexico, 1982.

    Google Scholar 

  24. K. S. Shea and R. Macmaster. Cartographic Generalization: When and How to Generalize. In Auto-Carto 9, pages 56–67, 1989.

    Google Scholar 

  25. H. J. Schek and M. H. Scholl. The Relational Model with Relation-Valued Attributes. Information Systems, 1986.

    Google Scholar 

  26. P. van Oosterom. The Reactive Tree: A Storage Structure for a Seamless, Scaleless geographic Database. In Auto Carto10, pages 393–407, 1991.

    Google Scholar 

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Max J. Egenhofer John R. Herring

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© 1995 Springer-Verlag Berlin Heidelberg

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Rigaux, P., Scholl, M. (1995). Multi-Scale partitions: Application to spatial and statistical databases. In: Egenhofer, M.J., Herring, J.R. (eds) Advances in Spatial Databases. SSD 1995. Lecture Notes in Computer Science, vol 951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60159-7_11

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  • DOI: https://doi.org/10.1007/3-540-60159-7_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60159-3

  • Online ISBN: 978-3-540-49536-9

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