Abstract
For the majority of spatiotemporal applications, we assume that the modeled world is precise and bound. This simplification seems unnecessary crude for many environments handling spatial and temporal extents, such as navigational applications. In this work, we explore fuzziness and uncertainty, which we subsume under the term indeterminacy, in the spatiotemporal context. We first show how the fundamental modeling concepts of spatial objects, attributes, relationships, time points, time periods, and events are influenced by indeterminacy, and then show how these concepts can be combined. Next, we focus on the change of spatial objects according to their geometry over time. We outline four scenarios, which identify discrete and continuous change, and we present how to model indeterminate change. We demonstrate the applicability of this proposal by describing the uncertainty related to the movement of point objects, such as the recording of the whereabouts of taxis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Burrough, P.A., MacMillan, R.A., and van Deursen, W.: Fuzzy Classification Methods For Determining Land Suitability from Soil Profile Observations and Topography. Journal of Soil Science, 43, pp. 193–210, 1992.
Cheng, T. and Molenaar, M.: Diachronie Analysis of Fuzzy Objects. GeoInformatica 3(4), pp. 337–355, 1999
Chrisman, N.: A Theory of Cartographic Error and Its Measurement in Digital Databases. In Proceedings Auto-Carto 5, pp. 159–168, 1982.
Claramunt, C, and Theriault, M.: Managing Time in GIS: An Event-Oriented Approach. Recent Advances in Temporal Databases, Springer-Verlag, pp. 142–161, 1995.
Dyreson, C.E., Soo, M.D., and Snodgrass, R.T.: The Data Model for Time. The TSQL2 Temporal Query Language, Kluwer Academics, pp. 97–101, 1995.
Fisher, P.: Boolean and Fuzzy Regions. Geographic Objects with Indeterminate Boundaries, Taylor & Francis, pp. 87–94, 1996.
Goodchild, M. and Gopal, S. (Eds): Accuracy of Spatial Databases. Taylor & Frames, 1989.
Güting, R., Böhlen, M., Erwig, M., Jensen, C.S., Lorentzos, N., Schneider, M., and Vazirgiannis, M.: A Foundation for Representing and Querying Moving Objects. ACM Transactions on Database Systems 25(1), pp. 1–42, 2000.
Hadzilacos, T.: On Layer-Based Systems for Undetermined Boundaries. Geographic Objects with Indeterminate Boundaries, Taylor & Francis, pp. 237–256, 1996.
Hadzilacos, T., and Tryfona, N.: A Model for Expressing Spatiotemporal Integrity Constraints. In Proc. of the International Conference on Theories and Methods of Spatio-Temporal Reasoning, pp. 252–268, 1992.
Kalman, R.E.: A New Approach to Linear Filtering and Prediction Problems. Transactions of the AS ME-Journal of Basic Engineering, pp. 35–45, 1960.
Krakiwsky, E.J., Harris, C. B., and Wong, R.: A Kalman Filter for Integrating Dead Reckoning, Map Matching, and GPS Positioning. In Proc. of the IEEE Position Location and Navigation Symposium, pp. 39–46, 1988.
Pfoser, D. and Jensen, C.S.: Capturing the Uncertainty of Moving-Object Representations. In Proc. of the 6th International Symposium on the Advances in Spatial Databases, pp. 111–132, 1999.
Pfoser, D. and Tryfona, N.: Requirements, Definitions, and Notations for Spatiotemporal Application Environments. In Proc. of the 6 th ACM Symposium on Geographic Information Systems, pp. 124–130, 1998.
Pfoser, D. and Tryfona, N.: Capturing Fuzziness and Uncertainty of Spatiotemporal Objects. TimeCenter Technical Report, 2001.
Pfoser, D., Jensen, C, and Theodoridis, Y.: Novel Approaches in Query Processing for Moving Objects Data. In Proc. of the 27 th Conference on Very Large Databases, pp. 395–406, 2000.
Schneider, M., Metric Operations on Fuzzy Spatial Objects in Databases, In Proc. of the 8 th ACM Symposium on Geographic Information Systems, 2000.
Shibasaki, R.: Handling Spatiotemporal Uncertainties of Geo-Objects for Dynamic Update of GIS Databases from Multi-Source Data. In Advanced Geographic Data Modeling, Netherlands Geodetic Commission, Publications on Geodesy, 40, pp. 228–243, 1994.
Vazirgiannis, M.: Uncertainty Handling in Spatial Relationships. In Proc. of the ACM Symp. on Applied Computing, 2000.
Worboys, M.: Imprecision in Finite Resolution Spatial Data. GeoInformatica 2(3), pp. 257–279, 1998.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pfoser, D., Tryfona, N. (2001). Capturing Fuzziness and Uncertainty of Spatiotemporal Objects. In: Caplinskas, A., Eder, J. (eds) Advances in Databases and Information Systems. ADBIS 2001. Lecture Notes in Computer Science, vol 2151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44803-9_10
Download citation
DOI: https://doi.org/10.1007/3-540-44803-9_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42555-7
Online ISBN: 978-3-540-44803-7
eBook Packages: Springer Book Archive