nearest_interp_1d, a Python code which interpolates a set of data using a piecewise constant interpolant defined by the nearest neighbor criterion.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
nearest_interp_1d is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
barycentric_interp_1d, a python code 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 python code which determines the combination of chebyshev polynomials which interpolates a set of data, so that p(x(i)) = y(i).
lagrange_interp_1d, a python code which defines and evaluates the lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i).
newton_interp_1d, a python code which finds a polynomial interpolant to data using newton divided differences.
pwl_interp_1d, a python code which interpolates a set of data using a piecewise linear function.
rbf_interp_1d, a python code which defines and evaluates radial basis function (rbf) interpolants to 1d data.
shepard_interp_1d, a python code which defines and evaluates shepard interpolants to 1d data, based on inverse distance weighting.
test_interp, a python code which defines a number of test problems for interpolation, provided as a set of (x,y) data.
test_interp_1d, a python code which defines test problems for interpolation of data y(x), depending on a 2d argument.
vandermonde_interp_1d, a python code 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.
nearest_interp_1d_test01() plots a piecewise linear interpolant to the original data, and the nearest neighbor interpolant.