Abstract
Unknown curved-surface can be estimated by a linear combination of a set of adequate basis functions. We previously showed that when a sufficient number of observation points are available and the observation points are distributed uniformly in the region, a set of Gaussian type functions with a uniform dispersion, whose centers are allocated in a regular triangle lattice, can be efficiently used as the basis functions.
This paper proposes optimal basis functions with a nonuniform dispersion based on the distribution pattern of the observation points for the case where observation points are nonuniformly distributed and the number of observation points is not so many.
