PWL_INTERP_2D
Piecewise Linear Interpolation in 2D for Gridded Data {#pwl_interp_2d-piecewise-linear-interpolation-in-2d-for-gridded-data align="center"}
PWL_INTERP_2D is a C++ which evaluates a piecewise linear interpolant of data depending on a 2D argument, defined on on a product grid, so that p(x(i),y(j)) = z(i,j).
PWL_INTERP_2D requires the R8LIB library. The test code requires the TEST_INTERP_2D library.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
PWL_INTERP_2D is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.
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_1D, a C++ library which interpolates a set of data using a piecewise linear function.
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_2D, a C++ library which defines test problems for interpolation of data z(x,y), depending on a 2D 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.
- Kendall Atkinson,
An Introduction to Numerical Analysis,
Prentice Hall, 1989,
ISBN: 0471624896,
LC: QA297.A94.1989. - Philip Davis,
Interpolation and Approximation,
Dover, 1975,
ISBN: 0-486-62495-1,
LC: QA221.D33 - David Kahaner, Cleve Moler, Steven Nash,
Numerical Methods and Software,
Prentice Hall, 1989,
ISBN: 0-13-627258-4,
LC: TA345.K34.
- pwl_interp_2d.cpp, the source code.
- pwl_interp_2d.hpp, the include file.
- pwl_interp_2d_prb.cpp, a sample calling program.
- pwl_interp_2d_prb_output.txt, the output file.
- PWL_INTERP_2D evaluates a piecewise linear interpolant to data defined on a 2D grid.
You can go up one level to the C++ source codes.
Last revised on 15 October 2012.