A New Approach to Incorporate Uncertainty in Terrain Modeling

Authors:
Jorge Santos;Weldon A. Lodwick;Arnold Neumaier
Affiliations:
-;-;-
Venue:
GIScience '02 Proceedings of the Second International Conference on Geographic Information Science
Year:
2002

Citing 7
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Abstract

A method for incorporating uncertainty in terrain modelling by expressing elevations as fuzzy numbers is proposed. Given a finite set of fuzzy elevations representative of the topographic surface in a certain region, we develop methods to construct surfaces that incorporate the uncertainty. The smoothness and continuity conditions of the surface generating method are maintained. Using this approach, we generalize some classic interpolators and compare them qualitatively. Extensions to wider classes of interpolators follow naturally from our approach. A numerical example is presented to illustrate this idea.