shepard_interp_2d


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

The code needs the R8LIB library. The test also needs the TEST_INTERP_2D 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_2d 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_2d_test

lagrange_interp_2d, an Octave code which defines and evaluates the Lagrange polynomial p(x,y) which interpolates a set of data depending on a 2d argument that was evaluated on a product grid, so that p(x(i),y(j)) = z(i,j).

padua, an Octave code which returns the points and weights for Padua sets, useful for interpolation in 2d.

pwl_interp_2d, an Octave code which evaluates a piecewise linear interpolant to data defined on a regular 2d grid.

r8lib, an Octave code which contains many utility routines using double precision real (r8) arithmetic.

rbf_interp_2d, an Octave code which defines and evaluates radial basis function (RBF) interpolants to 2d data.

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

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

test_interp_2d, an Octave code which defines test problems for interpolation of data z(x,y)), depending on a 2d argument.

toms886, an Octave code which defines the Padua points for interpolation in a 2d region, including the rectangle, triangle, and ellipse, by Marco Caliari, Stefano de Marchi, Marco Vianello. This is a version of ACM TOMS algorithm 886.

vandermonde_interp_2d, an Octave code which finds a polynomial interpolant to data z(x,y) of a 2d argument by setting up and solving a linear system for the polynomial coefficients, involving the Vandermonde matrix.

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.