rbf_interp_nd, a C++ code which defines and evaluates radial basis function (RBF) interpolants to multidimensional data.
A radial basis interpolant is a useful, but expensive, technique for definining a smooth function which interpolates a set of function values specified at an arbitrary set of data points.
Given nd multidimensional points xd with function values fd, and a basis function phi(r), the form of the interpolant is
f(x) = sum ( 1 <= i <= nd ) w(i) * phi(||x-xd(i)||)where the weights w have been precomputed by solving
sum ( 1 <= i <= nd ) w(i) * phi(||xd(j)-xd(i)||) = fd(j)
Four families of radial basis functions are provided.
The code needs access to the R8LIB library.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
rbf_interp_nd is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
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