A New Approach to Incorporate Uncertainty in Terrain Modeling

1. Anile, A., Falcidieno, B., Gallo, G., Sagnuolo, M., and Spinello, S.: Modeling Uncertain Data with Fuzzy B-splines. Fuzzy Sets and Systems 113 (2000) 397–410

   Article  MATH  MathSciNet  Google Scholar 

2. Anile, A. et al.: A Fuzzy Approach to Visibility Maps Creation over Digital Terrains. (to appear in Fuzzy Sets and Systems)

   Google Scholar 

3. Bardossy, A., Bogardi, I., and Kelley, W.: Geostatistics Utilizing Imprecise (Fuzzy) Information. Fuzzy Sets and Systems 31 (1989) 311–328

   Article  MathSciNet  Google Scholar 

4. Bardossy, A., Bogardi, I., and Kelley, W.: Kriging with Imprecise (Fuzzy) Variograms-I: Theory. Mathematical Geology 22 (1990) 63–79

   Article  MATH  MathSciNet  Google Scholar 

5. Bardossy, A., Bogardi, I., and Kelley, W.: Kriging with Imprecise (Fuzzy) Variograms-II: Application. Mathematical Geology 22 (1990) 81–94

   Article  MATH  MathSciNet  Google Scholar 

6. Clematis, A., Privitera, G., and Spagnuolo, M.: Parallel Fuzzy Arithmetic for Sea Floor Modelling. Science & Supercomputing at CINECA. M. Voli Ed. (1998) 539–548

   Google Scholar 

7. Cressie, N.: Statistics for Spatial Data. John Wiley & Sons, (1993)

   Google Scholar 

8. Deutsch, C. and Journel, A.: GSLIB Geostatistical Software Library and User’s Guide. Oxford University Press (1998)

   Google Scholar 

9. Diamond, P.: Fuzzy Kriging. Fuzzy Sets and Systems, (1989) 315–332

   Google Scholar 

10. Dierckx, P.: Curve and Surface Fitting with Splines. Oxford Science Publications, New York (1993)

    MATH  Google Scholar 

11. Dubois, D. and Prade, H.: Possibility Theory, An Approach to Computerized Processing of Uncertainty. Plenum Press, New York (1988)

    MATH  Google Scholar 

12. Glashoff, K. and Gustafson, S.-A.: Linear Optimization and Approximation, An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-Infinite Programs. Springer-Verlag, New York (1983).

    MATH  Google Scholar 

13. Hunter, G. and Goodchild, M.: Dealing with Error in Spatial Databases: A Simple Case Study. Photogrammetric Engineering & Remote Sensing 61:5 (1995) 529–537

    Google Scholar 

14. Kaufmann, A. and Gupta, M.: Introduction to Fuzzy Arithmetic, Theory and Applications. Van Nostrand Reinhold, New York (1991)

    MATH  Google Scholar 

15. Klir, G. and Yuan, B.: Fuzzy Sets and Fuzzy Logic, Theory and Applications. Prentice Hall Inc., New Jersey (1995)

    MATH  Google Scholar 

16. Li, Z.: Mathematical Models of the Accuracy of Digital Terrain Model Surfaces Linearly Constructed from Square Gridded Data. Photogrammetry Record 14:82 (1993) 661–674

    Article  Google Scholar 

17. Lodwick, W. and Santos, J.: Constructing Consistent Fuzzy Surfaces from Fuzzy Data. University of Colorado at Denver, Center of Computational Mathematics UCD/CCM Report No. 175 (2001) (to appear in Fuzzy Sets and Systems)

    Google Scholar 

18. Moore, R.: Methods and Applications of Interval Analysis. SIAM, Philadelphia (1979)

    MATH  Google Scholar 

19. Neumaier, A.: Interval Methods for Systems of Equations. Cambridge University Press (1990)

    Google Scholar 

20. Schneider, B.: Uncertainty Propagation in Digital Terrain Modeling with Taylor Methods and Interval Arithmetic. Proceedings Accuracy 2000 (2000) 561–568

    Google Scholar 

Download references