pwl_interp_2d_scattered


pwl_interp_2d_scattered, an Octave code which produces a piecewise linear (PWL) interpolant to 2D scattered data, that is, data that is not guaranteed to lie on a regular grid.

This program computes a Delaunay triangulation of the data points, and then constructs an interpolant triangle by triangle. Over a given triangle, the interpolant is the linear function which matches the data already given at the vertices of the triangle.

PWL_INTERP_2D requires the R8LIB library. The test code requires the TEST_INTERP_2D library.

Licensing:

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

Languages:

pwl_interp_2d_scattered is available in a C version and a C++ version and a Fortran90 version and a MATLAB versionand an Octave version.

Related Data and Programs:

pwl_interp_2d_scattered_test

lagrange_interp_2d, an Octave code 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).

pwl_interp_2d, an Octave code which evaluates a piecewise linear interpolant to data defined on a regular 2D grid.

rbf_interp_2d, an Octave code which defines and evaluates radial basis function (RBF) interpolants to scattered 2D data.

shepard_interp_2d, an Octave code which defines and evaluates Shepard interpolants to scattered 2D data, based on inverse distance weighting.

test_interp_2d, an Octave code which defines test problems for interpolation of regular or scattered data z(x,y), depending on a 2D argument.

triangulation, an Octave code which performs various operations on order 3 (linear) or order 6 (quadratic) triangulations.

triangulation_order3_contour, an Octave code which makes contour plot of scattered data, or of data defined on an order 3 triangulation.

vandermonde_interp_2d, an Octave code 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.

Source Code:


Last revised on 19 June 2023.