shepard_interp_nd


shepard_interp_nd, an Octave 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 computer code and data files described and made available on this web page are 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:

shepard_interp_nd_test

lagrange_interp_nd, an Octave 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, an Octave code which contains many utility routines using double precision real (r8) arithmetic.

rbf_interp_nd, an Octave code which defines and evaluates radial basis function (RBF) interpolants to multidimensional data.

shepard_interp_1d, an Octave code which defines and evaluates Shepard interpolants to 1d data, which are based on inverse distance weighting.

shepard_interp_2d, an Octave code which defines and evaluates Shepard interpolants to 2d data, which are based on inverse distance weighting.

sparse_interp_nd an Octave code which can be used to define a sparse interpolant to a function f(x) of a multidimensional argument.

test_interp_nd, an Octave 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:


Last modified on 21 June 2023.