An error model of circular curve features in GIS

ABSTRACT

In this paper, a new error model to describe circular curve features in GIS is presented. In the model, the error of a circular curve feature can be described by two methods. In the first method, the error is described by the root mean square error in the normal direction of the circular curve. In the second method, the error is indicated by the maximum distance between the curve feature and the error ellipse. The two methods are tested through case studies, and the results are analyzed.

REFERENCES

• 1: Blakemore, M. Generalization and error in spatial databases. Cartographica, 1984, 21, 131--139.
• 2: Bolstad, P. V., Gessler, P. and Lillestand, T. M. Positional uncertainty in manually digitized map data. IJGIS, 1990, 4, 399--412.
• 3: Burrough, P. A. Principles of geographical information systems for land resources assessment. Oxford University Press, Oxford, 1986.
• 4: Chrisman, N. R. A theory of cartographic error and its measurement in digital database. In Proceedings of Auto-Carto 5, 1982, EGIS Foundation, Utrecht, 159--168.
• 5: Caspary, W. and Scheuring, R. Positional accuracy in spatial databases. Comput., Environ. and Urban System, 1993,17, 103--110.
• 6: Dutton, G. Handling positional uncertainty in spatial databases. In Proceedings of 5th International Symposium on Spatial Data Handling, 1992, Colombus International Geographical Union, 460--469.
• 7: Goodchild, M. F. and Gopal, S. (eds). The accuracy of spatial databases. Taylor and Francis, New York, 1989.
• 8: Goodchild, M. F. and Hunter, G. J. A simple positional accuracy measure for linear features. IJGIS, 1997,11, 299--306.
• 9: Guptill, S. and Morrison, J. (eds). The elements of spatial data quality. Elsevier, Amsterdam, 1995.
• 10: Heuvelink, G. B. M., Burrough, P.A. and Stein, A. Propagation of errors in spatial modelling with GIS. IJGIS, 1989,3,303-322.
• 11: Hunter, G. J. and Goodchild, M. F. A new model for handling vector data uncertainty in geographical information systems. URISA Journal, 1996, 8, 51--57.
• 12: Liu D. J., Tong, X. H. and Shi, W. Z. Accuracy analysis and quality control of spatial data in GIS. Shanghai Science and Technology Documentation Press, 1999.
• 13: Perkal, J. On epsilon length. Bulletin de i'Academie Polonaise des Sciences, 1956,4, 399--403.
• 14: Perkal, J. On the empirical curves. Discussion paper No.10, Michigan Inter-University Community of Mathematical Cartographers, Ann Arbor, 1966.
• 15: Shi, W. Z. and Liu,W. B. A stochastic process-based model for the positiona; error of line segments in GIS. IJGIS, 2000,14, 51--66.
• 16: Tong, X. H., Shi, W. Z. and Liu D. J. Positional error of line primitives incorporating the error of parameters in GIS. In Proceedings of 9th International Symposium on Spatial Data Handling, Beijing, China, 2000, 6a.3--12.
• 17: Veregin, H. A taxonomy of error in spatial databases. Technical paper 89-12, NCGIA, Santa Barbara, 1989.
• 18: Zhang, G. Y. and Tulip, J. An algorithm for the avoidance of sliver polygons and clusters of points in spatial overlay. In Proceedings of 4th Spatial Data Handling, 1990, Colombus International Geographical Union,141--150.

INDEX TERMS

Primary Classification:
  I. Computing Methodologies
  I.6 SIMULATION AND MODELING
      I.6.5 Model Development
          Subjects: Modeling methodologies

General Terms:
Algorithms, Experimentation, Reliability, Theory

Keywords:
circular curve features, error model, uncertainty