nearest_interp_1d

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

NEAREST_INTERP_1D needs the R8LIB library. The test also needs the TEST_INTERP library.

Licensing:

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

Languages:

nearest_interp_1d is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

nearest_interp_1d_test

newton_interp_1d, a MATLAB code which finds a polynomial interpolant to data using Newton divided differences.

pwl_interp_1d, a MATLAB code which interpolates a set of data using a piecewise linear interpolant.

r8lib, a MATLAB code which contains many utility routines using double precision real (R8) arithmetic.

test_interp, a MATLAB code which defines a number of test problems for interpolation, provided as a set of (x,y) data.

Reference:

1. Kendall Atkinson,
   An Introduction to Numerical Analysis,
   Prentice Hall, 1989,
   ISBN: 0471624896,
   LC: QA297.A94.1989.
2. Philip Davis,
   Interpolation and Approximation,
   Dover, 1975,
   ISBN: 0-486-62495-1,
   LC: QA221.D33
3. David Kahaner, Cleve Moler, Steven Nash,
   Numerical Methods and Software,
   Prentice Hall, 1989,
   ISBN: 0-13-627258-4,
   LC: TA345.K34.

Source Code:

• knnsearch.m, returns the index of the nearest data value to a query value.
• nearest_interp_1d.m, evaluates the nearest neighbor interpolant.