Abstract
To determine the distribution of positional error of a line segment, Monte Carlo approach is applied to simulate the probability density function of a line segment with the assumption that the error of endpoints in a line segment follows a two-dimensional normal distribution. For such purpose, a stochastic generator used for uncertain endpoints with the two-dimensional normal distribution is presented. This forms the basis of the generation of random line segment for the simulation of the error model of a whole line segment. The error models cover the cases where two endpoints are either independent or dependent to each other, also including a special case that the distance between two random endpoints in a line segment is close enough.
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References
Guptill S C, Morrison J L (1995) Elements of spatial data quality[M]. Oxford: Elsevier Scientific
Shi Wenzhong, Liu Wenbao (2000) A stochastic process-based model for positional error of line segments in GIS [J].International Journal of Geographic Information Science, 14 (1): 51–66
Perkal J (1956) On epsilon length[J].Bulletin de I' Academie Polonaise des Sciences, 4: 399–403
Chrisman N R (1982) A theory of cartographic error and its measurement in digital databases[C]. AutoCarto 5, Crystal City, VA
Blakemore M (1984) Generalization and error in spatial databases[J].Cartographica, 21: 131–139
Dutton G (1992) Handling positional uncertainty in spatial databases[C]. The 5th International Symposium on Spatial Data Handling, Charleston
Shi Wenzhong (1994) Modeling positional and the matic uncertainty in integration of remote sensing and GIS[D]. Netherlands: ITC
Liu Wenbao (1995) Theory on uncertainty of spatial data in GIS[D]. Wuhan: Wuhan Technical University of Surveying and Mapping. (in Chinese)
Liu Wenbao, Dai Honglei, Xu Panlin (1998) Models of positional error donut for planar polygon in GIS [J].Acta Geogdaetica et Cartographica Sinica, 27 (4): 338–344
Deng Min (2004) Approaches for topological relations between spatial regions with uncertainty[D]. Thailand: Asian Institute of Technology
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Funded by the National Natural Science Foundation of China (N0. 40501053), the Open Research Fund Program of LIESMARS (No. WKL040304) and the Open Research Fund Program of Key Laboratory of Geomatics and Digital Technology, Shandong Province (No. SD040201).
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Lei, Z., Min, D. & Xiaoyong, C. A new approach to simulate positional error of line segment in GIS. Geo-spat. Inf. Sci. 9, 142–146 (2006). https://doi.org/10.1007/BF02826940
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DOI: https://doi.org/10.1007/BF02826940