Constructing consistent fuzzy surfaces from fuzzy data
Three algorithms are developed for the construction of fuzzy surfaces from fuzzy data sets that are consistent and maintain the underlying smoothness of the interpolation method being used to generate the surface. They capture the underlying uncertainty in the data and generate a set of surfaces faithful to this underlying uncertainty maintaining a prescribed level of smoothness in the presence of fuzzy altitudes. The algorithms are used to develop two and three-dimensional surfaces from fuzzy data for cubic splines and digital terrain models generated from triangulation.
scientific article; zbMATH DE number 1915151