SHEPARD_INTERP_1D
Shepard Interpolation of 1D Data {#shepard_interp_1d-shepard-interpolation-of-1d-data align="center"}
SHEPARD_INTERP_1D is a C++ library which defines and evaluates Shepard interpolants to 1D data, based on inverse distance weighting.
SHEPARD_INTERP_1D needs the R8LIB library. The test code also needs the TEST_INTERP library.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
SHEPARD_INTERP_1D is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version and a Python version.
BARYCENTRIC_INTERP_1D, a C++ library which defines and evaluates the barycentric Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i). The barycentric approach means that very high degree polynomials can safely be used.
CHEBYSHEV_INTERP_1D, a C++ library which determines the combination of Chebyshev polynomials which interpolates a set of data, so that p(x(i)) = y(i).
DIVDIF, a C++ library which uses divided differences to compute the polynomial interpolant to a given set of data.
HERMITE, a C++ library which computes the Hermite interpolant, a polynomial that matches function values and derivatives.
LAGRANGE_INTERP_1D, a C++ library which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i).
NEAREST_INTERP_1D, a C++ library which interpolates a set of data using a piecewise constant interpolant defined by the nearest neighbor criterion.
NEWTON_INTERP_1D, a C++ library which finds a polynomial interpolant to data using Newton divided differences.
PWL_INTERP_1D, a C++ library which interpolates a set of data using a piecewise linear interpolant.
R8LIB, a C++ library which contains many utility routines using double precision real (R8) arithmetic.
RBF_INTERP_1D, a C++ library which defines and evaluates radial basis function (RBF) interpolants to 1D data.
SHEPARD_INTERP_2D, a C++ library which defines and evaluates Shepard interpolants to 2D data, based on inverse distance weighting.
SHEPARD_INTERP_ND, a FORTRAN90 library which defines and evaluates Shepard interpolants to multidimensional data, based on inverse distance weighting.
TEST_INTERP, a C++ library which defines a number of test problems for interpolation, provided as a set of (x,y) data.
TEST_INTERP_1D, a C++ library which defines test problems for interpolation of data y(x), depending on a 2D argument.
VANDERMONDE_INTERP_1D, a C library which finds a polynomial interpolant to data y(x) of a 1D argument, by setting up and solving a linear system for the polynomial coefficients, involving the Vandermonde matrix.
- Richard Franke,
Scattered Data Interpolation: Tests of Some Methods,
Mathematics of Computation,
Volume 38, Number 157, January 1982, pages 181-200. - 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.
- shepard_interp_1d.cpp, the source code.
- shepard_interp_1d.hpp, the include file.
- shepard_interp_1d_prb.cpp, a sample calling program.
- shepard_interp_1d_prb_output.txt, the output file.
- SHEPARD_BASIS_1D evaluates a 1D Shepard basis function.
- SHEPARD_INTERP_1D evaluates a 1D Shepard interpolant.
You can go up one level to the C++ source codes.
Last revised on 15 October 2012.