toms792


toms792 a FORTRAN90 code which can be used to test the accuracy of programs that interpolate 2D scattered data, by Robert Renka.

The code is ACM TOMS Algorithm 792.

The text of many ACM TOMS algorithms is available online through ACM: https://calgo.acm.org/ or NETLIB: https://www.netlib.org/toms/index.html.

Licensing:

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

Languages:

toms792 is available in a FORTRAN90 version.

Related Data and Programs:

RBF_INTERP, a FORTRAN90 code which defines and evaluates radial basis interpolants to multidimensional data.

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 ACM TOMS algorithm 790.

toms792_test

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.

Author:

Robert Renka

Reference:

  1. Richard Franke,
    Scattered Data Interpolation: Tests of Some Methods,
    Mathematics of Computation,
    Volume 38, Number 157, January 1982, pages 181-200.
  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.

Source Code:


Last revised on 15 March 2021.