TEST_INTERP_2D
Test Interpolation Data Z(X,Y) of a 2D Argument
TEST_INTERP_2D
is a C++ library which
defines test problems for interpolation of data z(x,y)
depending on a 2D argument.
TEST_INTERP_2D requires access to the R8LIB library.
Licensing:
The computer code and data files described and made available on this
web page are distributed under
the GNU LGPL 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:
LAGRANGE_INTERP_2D,
a C++ library 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).
PADUA,
a C++ library which
returns the points and weights for Padu sets, useful for interpolation
in 2D. GNUPLOT is used to plot the points.
PWL_INTERP_2D,
a C++ library which
evaluates a piecewise linear interpolant to data defined on
a regular 2D grid.
R8LIB,
a C++ library which
contains many utility routines, using double precision real (R8) arithmetic.
RBF_INTERP_2D,
a C++ library which
defines and evaluates radial basis function (RBF) interpolants to 2D data.
SHEPARD_INTERP_2D,
a C++ library which
defines and evaluates Shepard interpolants to 2D data,
based on inverse distance weighting.
TEST_INTERP_1D,
a C++ library which
defines test problems for interpolation of data y(x),
depending on a 1D argument.
TEST_INTERP_ND,
a C++ library which
defines test problems for interpolation of data z(x),
depending on an M-dimensional argument.
TOMS886,
a C++ 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 a C++ version of ACM TOMS algorithm 886.
VANDERMONDE_INTERP_2D,
a C++ library 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:
-
Richard Franke,
A Critical Comparison of Some Methods for Interpolation of Scattered Data,
Naval Postgraduate School Technical Report,
NPS-53-79-003, 1979.
-
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.
-
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:
Examples and Tests:
List of Routines:
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F00_F0 returns the value of any function.
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F00_F1 returns first derivatives of any function.
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F00_F2 returns second derivatives of any function.
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F00_NUM returns the number of test functions available.
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F00_TITLE returns the title for any function.
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F01_F0 returns the value of function 1.
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F01_F1 returns first derivatives of function 1.
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F01_F2 returns second derivatives of function 1.
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F01_TITLE returns the title for function 1.
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F02_F0 returns the value of function 2.
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F02_F1 returns first derivatives of function 2.
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F02_F2 returns second derivatives of function 2.
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F02_TITLE returns the title for function 2.
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F03_F0 returns the value of function 3.
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F03_F1 returns first derivatives of function 3.
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F03_F2 returns second derivatives of function 3.
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F03_TITLE returns the title for function 3.
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F04_F0 returns the value of function 4.
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F04_F1 returns first derivatives of function 4.
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F04_F2 returns second derivatives of function 4.
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F04_TITLE returns the title for function 4.
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F05_F0 returns the value of function 5.
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F05_F1 returns first derivatives of function 5.
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F05_F2 returns second derivatives of function 5.
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F05_TITLE returns the title for function 5.
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F06_F0 returns the value of function 6.
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F06_F1 returns first derivatives of function 6.
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F06_F2 returns second derivatives of function 6.
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F06_TITLE returns the title for function 6.
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F07_F0 returns the value of function 7.
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F07_F1 returns first derivatives of function 7.
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F07_F2 returns second derivatives of function 7.
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F07_TITLE returns the title for function 7.
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F08_F0 returns the value of function 8.
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F08_F1 returns first derivatives of function 8.
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F08_F2 returns second derivatives of function 8.
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F08_TITLE returns the title for function 8.
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F09_F0 returns the value of function 9.
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F09_F1 returns first derivatives of function 9.
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F09_F2 returns second derivatives of function 9.
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F09_TITLE returns the title for function 9.
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F10_F0 returns the value of function 10.
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F10_F1 returns first derivatives of function 10.
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F10_F2 returns second derivatives of function 10.
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F10_TITLE returns the title for function 10.
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G00_NUM returns the number of grids available.
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G00_SIZE returns the size for any grid.
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G00_TITLE returns the title for any grid.
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G00_XY returns the grid points for any grid.
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G01_SIZE returns the size for grid 1.
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G01_TITLE returns the title for grid 1.
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G01_XY returns the grid points for grid 1.
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G02_SIZE returns the size for grid 2.
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G02_TITLE returns the title for grid 2.
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G02_XY returns the grid points for grid 2.
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G03_SIZE returns the size for grid 3.
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G03_TITLE returns the title for grid 3.
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G03_XY returns the grid points for grid 3.
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G04_SIZE returns the size for grid 4.
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G04_TITLE returns the title for grid 4.
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G04_XY returns the grid points for grid 4.
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G05_SIZE returns the size for grid 5.
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G05_TITLE returns the title for grid 5.
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G05_XY returns the grid points for grid 5.
You can go up one level to
the C++ source codes.
Last revised on 05 October 2012.