Abstract
To design retrieval algorithm of spatial relations for spatial objects with randomness in GIS, this paper builds up the membership functions based on set theory idea, used for determination of topological spatial relations between random objects, such as between point and point, point and line or polygon, which provides theoretical basis for retrieving spatial relations between certain and random objects. Finally, this paper interprets detailed methods and steps of realizing them by means of some simple examples under the GIS's environment.
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References
Worboys M. GIS, a computing perspective. London: Taylor & Francis, 1995
Burrough P A, McDonnell R A. Principles of geographical information systems. Oxford: Oxford University Press, 1998. 220–240
Blakemore M. Generalization and error in spatial databases.Cartographica, 1984 (21):131–139
Goodchild M F. Modelling error in object and fields. In: Goodchild, Gopal eds. Accuracy of Spatial Databases. London: Taylor & Francis, 1989. 107–113
Guptill S C, Morrison J L. Elements of spatial data quality. Oxford: Elsevier Scientific, 1995
Liu W B. Modeling uncertainty in GIS and remote sensing: [Ph. D Thesis]. Wuhan: Wuhan Technical University of Surveying and Mapping, 1995 (in Chinese)
Shi W Z, Liu W B, A new sochastic model for handling positional uncertainties of line feature in GIS.Acta Geogdaetica et Cartographica Sinica, 1998, 27(1):37–44 (in Chinese)
Liu W B, Dai H L. Analytical representation of positional uncertainties of line features in GIS.Acta Geogdaetica et Cartographica Sinica, 1998, 27(3):231–237 (in Chinese)
Liu W B, Dai H L. A new method of positional error donut for planar polygon in GIS.Acta Geogdaetica et Cartographica Sinica, 1998, 27(4):338–344 (in Chinese)
He X G. Theory and technology of handling fuzzy knowledge. Beijing: National Defence Press, 1998 (in Chinese)
Goodchild M F. Issues of quality and uncertainty. In: Muller J C. Advances in Cartography. Elsevier Science Publishers Ltd., 1991. 113–138
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Project Supported by a grant from the National Natural Science Foundation of China (No. 49801016)
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Min, D., Chengming, L. & Wenbao, L. Dealing with spatial relations for spatial objects with randomness in GIS. Geo-spat. Inf. Sci. 4, 43–48 (2001). https://doi.org/10.1007/BF02826577
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DOI: https://doi.org/10.1007/BF02826577