test_interp_2d

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

Licensing:

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

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:

PADUA, a Python code which returns the points and weights for Padu sets, useful for interpolation in 2D.

RBF_INTERP_2D, a Python code which defines and evaluates radial basis function (RBF) interpolants to 2D data.

TEST_INTERP, a Python code which defines a number of test problems for interpolation, provided as a set of (x,y(x)) data.

TEST_INTERP_1D, a Python code which defines test problems for interpolation of data y(x), depending on a 2D argument.

Reference:

1. Richard Franke,
   A Critical Comparison of Some Methods for Interpolation of Scattered Data,
   Naval Postgraduate School Technical Report,
   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:

• test_interp_2d.py the source code.
• test_interp_2d.sh, runs all the tests.
• test_interp_2d.txt, the output file.

test_interp_2d_test03 makes plots of each grid:

• grid_01.png, Franke's 100 node set.
• grid_02.png, Franke's 33 node set.
• grid_03.png, Lawson's 25 node set.
• grid_04.png, Random 100 node set.
• grid_05.png, Gridded 81 node set.