toms790


toms790, a FORTRAN77 code which constructs an interpolant to scattered 2D data, by Robert Renka.

toms790 is similar to the algorithm employed in ACM toms algorithm 660, but achieves cubic precision (where the previous algorithm was only quadratic) and has C2 continuity.

toms790 is ACM toms Algorithm 790.

The original, true, correct version of this ACM toms algorithm is available in the toms subdirectory of the NETLIB web site.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

toms790 is available in a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

toms790_test

rbf_interp, a FORTRAN77 library which defines and evaluates radial basis interpolants to multidimensional data.

TEST_INTERP_2D, a FORTRAN77 library which defines test problems for interpolation of data z(x,y)), depending on a 2D argument.

toms526, a FORTRAN77 library which interpolates scattered bivariate data, This is ACM toms algorithm 526, by Hiroshi Akima;

toms660, a FORTRAN77 library which takes scattered 2D data and produces an interpolating function F(X,Y), this is ACM toms algorithm 660, called qshep2d, by Robert Renka.

toms661, a FORTRAN77 library which takes scattered 3D data and produces an interpolating function F(X,Y,Z), this is ACM toms algorithm 661, called qshep3d, by Robert Renka.

toms792 a FORTRAN77 library which tests functions that interpolate scattered data in the plane;
by Robert Renka;
this is ACM toms algorithm 792.

toms886, a FORTRAN77 library 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.

Author:

Robert Renka

Reference:

  1. Robert Renka,
    Algorithm 790: CSHEP2D: Cubic Shepard Method for Bivariate Interpolation of Scattered Data,
    ACM Transactions on Mathematical Software,
    Volume 25, Number 1, March 1999, pages 70-73.

Source Code:


Last revised on 02 December 2023.