nearest_interp_1d

nearest_interp_1d, a Python code which interpolates a set of data using a piecewise constant interpolant defined by the nearest neighbor criterion.

Licensing:

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

Languages:

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.

Related Data and Programs:

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.

Source Code:

• nearest_interp_1d.py, the source code;
• nearest_interp_1d.sh, runs all the tests;
• nearest_interp_1d.txt, the output file.

nearest_interp_1d_test01() plots a piecewise linear interpolant to the original data, and the nearest neighbor interpolant.

• p01_pwl.png, a plot of the data and piecewise linear interpolant for problem p01;
• p01_near.png, a plot of the nearest neighbor interpolant for problem p01;
• p02_pwl.png, a plot of the data and piecewise linear interpolant for problem p02;
• p02_near.png, a plot of the nearest neighbor interpolant for problem p02;
• p03_pwl.png, a plot of the data and piecewise linear interpolant for problem p03;
• p03_near.png, a plot of the nearest neighbor interpolant for problem p03;
• p04_pwl.png, a plot of the data and piecewise linear interpolant for problem p04;
• p04_near.png, a plot of the nearest neighbor interpolant for problem p04;
• p05_pwl.png, a plot of the data and piecewise linear interpolant for problem p05;
• p05_near.png, a plot of the nearest neighbor interpolant for problem p05;
• p06_pwl.png, a plot of the data and piecewise linear interpolant for problem p06;
• p06_near.png, a plot of the nearest neighbor interpolant for problem p06;
• p07_pwl.png, a plot of the data and piecewise linear interpolant for problem p07;
• p07_near.png, a plot of the nearest neighbor interpolant for problem p07;
• p08_pwl.png, a plot of the data and piecewise linear interpolant for problem p08;
• p08_near.png, a plot of the nearest neighbor interpolant for problem p08;