TOMS792
Tests for Interpolation of 2D Scattered Data

TOMS792 is a FORTRAN90 library which can be used to test the accuracy of programs that interpolate 2D scattered data, by Robert Renka.

TOMS792 is ACM TOMS Algorithm 792.

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

Languages:

TOMS792 is available in a FORTRAN90 version.

Related Data and Programs:

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

TOMS526, a FORTRAN90 library which interpolates scattered bivariate data, This is a FORTRAN90 version of ACM TOMS algorithm 526, by Hiroshi Akima;

TOMS660, a FORTRAN90 library 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 library 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 library 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.

TOMS886, a FORTRAN90 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. 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:

• toms792.f90, the source code.

Examples and Tests:

• toms792_test.f90, a sample calling program.
• toms792_test_input.txt, the input file.
• toms792_test.txt, the output file.

List of Routines:

• TESTDT returns one of five sets of test nodes.
• TSTFN1 computes one of ten bivariate test functions.
• TSTFN2 evaluates one of ten bivariate test functions and derivatives.

You can go up one level to the FORTRAN90 source codes.