test_interp_2d

test_interp_2d, a FORTRAN90 code which defines test problems for interpolation of data z(x,y)), depending on a 2D argument.

Languages:

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.

Related Data and Programs:

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.

Reference:

1. Richard Franke,
A Critical Comparison of Some Methods for Interpolation of Scattered Data,
NPS-53-79-003, 1979.
2. Robert Renka, Ron Brown,
Algorithm 792: Accuracy Tests of ACM Algorithms for Interpolation of Scattered Data in the Plane,
ACM Transactions on Mathematical Software,
Volume 25, Number 1, March 1999, pages 78-94.
3. 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 revised on 23 July 2020.