test_interp_2d, a FORTRAN90 code which defines test problems for interpolation of data z(x,y)), depending on a 2D argument.
The test code requires access to the R8LIB library.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
test_interp_2d is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
LAGRANGE_INTERP_2D, a FORTRAN90 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).
PWL_INTERP_2D, a FORTRAN90 code which evaluates a piecewise linear interpolant to data defined on a regular 2D grid.
R8LIB, a FORTRAN90 code which contains many utility routines, using double precision real (R8) arithmetic.
RBF_INTERP, a FORTRAN90 code which defines and evaluates radial basis interpolants to multidimensional data.
RBF_INTERP_2D, a FORTRAN90 code which defines and evaluates radial basis function (RBF) interpolants to 2D data.
SHEPARD_INTERP_2D, a FORTRAN90 code which defines and evaluates Shepard interpolants to 2D data, based on inverse distance weighting.
TEST_INTERP_1D, a FORTRAN90 code which defines test problems for interpolation of data y(x), depending on a 1D argument.
TEST_INTERP_ND, a FORTRAN90 code which defines test problems for interpolation of data z(x), depending on an M-dimensional argument.
TOMS526, a FORTRAN90 code which interpolates scattered bivariate data, This is a FORTRAN90 version of ACM TOMS algorithm 526, by Hiroshi Akima;
TOMS660, a FORTRAN90 code which takes scattered 2D data and produces an interpolating function F(X,Y), this is a FORTRAN90 version of ACM TOMS algorithm 660, called qshep2d, by Robert Renka.
TOMS661, a FORTRAN90 code which takes scattered 3D data and produces an interpolating function F(X,Y,Z), this is a FORTRAN90 version of ACM TOMS algorithm 661, called qshep3d, by Robert Renka.
TOMS790, a FORTRAN90 code which computes an interpolating function to a set of scattered data in the plane; this library is commonly called CSHEP2D; by Robert Renka; this is a FORTRAN90 version of ACM TOMS algorithm 790.
TOMS886, a FORTRAN90 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 ACM TOMS algorithm 886.
VANDERMONDE_INTERP_2D, a FORTRAN90 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.