shepard_interp_nd

shepard_interp_nd, a Fortran90 code which defines and evaluates Shepard interpolants to multidimensional data, based on inverse distance weighting.

The code needs the r8lib() library. The test needs the TEST_INTERP_ND library.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

shepard_interp_nd is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

LAGRANGE_INTERP_ND, a Fortran90 code which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data depending on a multidimensional argument x that was evaluated on a product grid, so that p(x(i)) = z(i).

R8LIB, a Fortran90 code which contains many utility routines using double precision real (R8) arithmetic.

RBF_INTERP_ND, a Fortran90 code which defines and evaluates radial basis function (RBF) interpolants to multidimensional data.

SHEPARD_INTERP_1D, a Fortran90 code which defines and evaluates Shepard interpolants to 1D data, which are based on inverse distance weighting.

SHEPARD_INTERP_2D, a Fortran90 code which defines and evaluates Shepard interpolants to 2D data, which are based on inverse distance weighting.

shepard_interp_nd_test

SPARSE_INTERP_ND a Fortran90 code which can be used to define a sparse interpolant to a function f(x) of a multidimensional argument.

TEST_INTERP_ND, a Fortran90 code which defines test problems for interpolation of data z(x), depending on an M-dimensional argument.

Reference:

1. Richard Franke,
   Scattered Data Interpolation: Tests of Some Methods,
   Mathematics of Computation,
   Volume 38, Number 157, January 1982, pages 181-200.
2. Donald Shepard,
   A two-dimensional interpolation function for irregularly spaced data,
   ACM '68: Proceedings of the 1968 23rd ACM National Conference,
   ACM, pages 517-524, 1969.

Source Code:

• shepard_interp_nd.f90, the source code.
• shepard_interp_nd.sh, compiles the source code.