radial: Gaussian Radial Basis Functions

In rcage: Regionalization of Multiscale Spatial Processes

Gaussian Radial Basis Functions

Description

Provides an implementation of the Gaussian radial basis functions defined as

Ψ_{j}(s) = \exp\{- \frac{1}{2} (||s - c_j||/w)^2\}.

Usage

radial(crd, knots, w = NULL, ..., longlat = TRUE)

Arguments

crd	A matrix object. The (x,y) coordinates of the reference points {nCrd x 2}.
knots	A matrix object. The (x,y) coordinates of the knots {r x 2}.
w	A numeric object. The positive scaling factor (bandwidth).
...	ignored. Included only to require naming of inputs that follow.
longlat	A logical object. If FALSE, Euclidean distance is calculated; if TRUE, Great Circle distance is calculated. See ?sp::spDists for more information.

Details

Distances between reference coordinates and knots are obtained using sp::spDists().

Value

A matrix of Gaussian functions evaluated at all combinations of crd and knots { nCrd x r }.

Examples

  data(countyExample)

  radial(crd = sp::coordinates(county), knots = knots)

rcage documentation built on June 7, 2022, 1:07 a.m.