SHEPARD_INTERP_ND
Shepard Interpolation of Multidimensional Data


SHEPARD_INTERP_ND is a FORTRAN90 library which defines and evaluates Shepard interpolants to multidimensional data, based on inverse distance weighting.

SHEPARD_INTERP_ND needs the R8LIB library. The test needs the TEST_INTERP_ND library.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

SHEPARD_INTERP_ND is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

LAGRANGE_INTERP_ND, a FORTRAN90 library 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 library which contains many utility routines using double precision real (R8) arithmetic.

RBF_INTERP_ND, a FORTRAN90 library which defines and evaluates radial basis function (RBF) interpolants to multidimensional data.

SHEPARD_INTERP_1D, a FORTRAN90 library which defines and evaluates Shepard interpolants to 1D data, which are based on inverse distance weighting.

SHEPARD_INTERP_2D, a FORTRAN90 library which defines and evaluates Shepard interpolants to 2D data, which are based on inverse distance weighting.

SPARSE_INTERP_ND a FORTRAN90 library which can be used to define a sparse interpolant to a function f(x) of a multidimensional argument.

TEST_INTERP_ND, a FORTRAN90 library 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:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.


Last revised on 22 September 2012.