Synonyms
Data types for uncertain, indeterminate, or imprecise spatial objects; Point, vague; Point, kernel; Point, conjecture; Region, conjeccture; Operation, vague spatial
Definition
Naturally occurring phenomena in space often (if not always) cannot be precisely defined because of the intrinsic uncertainty of their features. The location of animal refuges might not be precisely known, and the path of rivers might be uncertain due to water volume fluctuations and changing land characteristics. The extension of lakes can also change and thus have uncertain areas. All these are examples of vague spatial objects. The animal refuge locations can be modeled as a vague point object where the precisely known locations are called the kernel point object and the assumed locations are denoted as the conjecture point object. The river paths can be modeled as vague line objects. Some segments or parts of the path, called kernel lineobjects, can be definitely identified since they are always...
Notes
- 1.
1 x° is used to denote the interior point set of crisp spatial object x
Recommended Reading
Clementini, E., Di Felice, P.: An Algebraic Model for Spatial Objects with Indeterminate Boundaries. In: Geographic Objects with Indeterminate Boundaries, pp. 153–169. Taylor & Francis, London, UK (1996)
Cohn, A.G., Gotts, N.M.: The ‘Egg-Yolk’ Representation of Regions with Indeterminate Boundaries. In: Geographic Objects with Indeterminate Boundaries, pp. 171–187. Taylor & Francis, London, UK (1996)
Erwig, M., Schneider, M.: Vague Regions. 5th Int. Symp. on Advances in Spatial Databases, pp. 298–320. Springer-Verlag, Berlin, Heidelberg, Germany (1997)
Schneider, M., Behr, T.: Topological Relationships between Complex Spatial Objects. ACM Trans. on Database Sys. (TODS) 31, 39–81 (2006)
Pauly, A., Schneider, M.: Vague Spatial Data Types, Set Operations, and Predicates. 8th East-European Conf. on Advances in Databases and Information Systems. Budapest, Hungary 22–25 Sep 2004
Pauly, A., Schneider, M.: Topological Predicates between Vague Spatial Objects. 9th Int. Symp. on Spatial and Temporal Databases. Angra dos Reis, Brazil (2005)
Pauly, A. Schneider, M.: Topological Reasoning for Identifying a Complete Set of Topological Predicates between Vague Spatial Objects. 19th Florida Artificial Intelligence Research Society (FLAIRS) Conference. (2006) pp. 731–736. Melbourne Beach, Florida, USA
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© 2008 Springer-Verlag
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Pauly, A., Schneider, M. (2008). Vague Spatial Data Types. In: Shekhar, S., Xiong, H. (eds) Encyclopedia of GIS. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35973-1_1434
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DOI: https://doi.org/10.1007/978-0-387-35973-1_1434
Publisher Name: Springer, Boston, MA
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