shepard_interp_2d


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

SHEPARD_INTERP_2D 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 GNU LGPL license.

Languages:

shepard_interp_2d is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

lagrange_interp_2d, a MATLAB 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, a MATLAB code which returns the points and weights for padu sets, useful for interpolation in 2d. MATLAB graphics are used to plot the points.

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

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

rbf_interp_2d, a MATLAB code which defines and evaluates radial basis function (rbf) interpolants to 2d data.

shepard_interp_1d, a MATLAB code which defines and evaluates shepard interpolants to 1d data, based on inverse distance weighting.

shepard_interp_2d_test

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

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

toms886, a MATLAB 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 MATLAB version of acm toms algorithm 886.

vandermonde_interp_2d, a MATLAB 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 25 March 2019.