SHEPARD_INTERP_1D - Shepard Interpolation of 1D Data
SHEPARD_INTERP_1D
Shepard Interpolation of 1D Data
SHEPARD_INTERP_1D
is a MATLAB 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.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
Languages:
SHEPARD_INTERP_1D is available in
Related Data and Programs:
a MATLAB 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.
a MATLAB library which
determines the combination of Chebyshev polynomials which
interpolates a set of data, so that p(x(i)) = y(i).
a MATLAB library which
uses divided differences to compute the polynomial interpolant
to a given set of data.
a MATLAB library which
computes the Hermite interpolant, a polynomial that matches function values
and derivatives.
a MATLAB library which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data, so that p(x(i)) = y(i).
a MATLAB library which
interpolates a set of data using a piecewise constant interpolant
defined by the nearest neighbor criterion.
a MATLAB library which
finds a polynomial interpolant to data using Newton divided differences.
a MATLAB library which
interpolates a set of data using a piecewise linear interpolant.
a MATLAB library which
contains many utility routines using double precision real (R8) arithmetic.
a MATLAB library which
defines and evaluates radial basis function (RBF) interpolants to 1D data.
a MATLAB library which
defines and evaluates Shepard interpolants to 2D data,
based on inverse distance weighting.
a MATLAB library which
defines and evaluates Shepard interpolants to multidimensional data,
based on inverse distance weighting.
a MATLAB library which
defines a number of test problems for interpolation,
provided as a set of (x,y) data.
a MATLAB library which
defines test problems for interpolation of data y(x),
depending on a 2D argument.
a MATLAB library which
finds a polynomial interpolant to a function of 1D data
by setting up and solving a linear system for the polynomial coefficients,
involving the Vandermonde matrix.
Reference:
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.
Source Code:
prints a pair of R8VEC's.
evaluates a Shepard basis function for 1D data.
evaluates a Shepard interpolant to 1D data.
Examples and Tests:
Running these tests requires access to the test_interp library.
Should that library be available in a directory at the same level, this
can be accomplished with the command "addpath ( '../test_interp' )".
the output file.
tests multiple sets of data and a particular value of the exponent.
tests a particular set of data and multiple values of the exponent.
shepard_interp_1d_test01 plots the data and Shepard interpolants.
the data for problem p01 with a linear interpolant.
the Shepard interpolant for problem p01 with P = 0.
the Shepard interpolant for problem p01 with P = 1.
the Shepard interpolant for problem p01 with P = 2.
the Shepard interpolant for problem p01 with P = 4.
the Shepard interpolant for problem p01 with P = 8.
the data for problem p02 with a linear interpolant.
the Shepard interpolant for problem p02 with P = 0.
the Shepard interpolant for problem p02 with P = 1.
the Shepard interpolant for problem p02 with P = 2.
the Shepard interpolant for problem p02 with P = 4.
the Shepard interpolant for problem p02 with P = 8.
the data for problem p03 with a linear interpolant.
the Shepard interpolant for problem p03 with P = 0.
the Shepard interpolant for problem p03 with P = 1.
the Shepard interpolant for problem p03 with P = 2.
the Shepard interpolant for problem p03 with P = 4.
the Shepard interpolant for problem p03 with P = 8.
the data for problem p04 with a linear interpolant.
the Shepard interpolant for problem p04 with P = 0.
the Shepard interpolant for problem p04 with P = 1.
the Shepard interpolant for problem p04 with P = 2.
the Shepard interpolant for problem p04 with P = 4.
the Shepard interpolant for problem p04 with P = 8.
the data for problem p05 with a linear interpolant.
the Shepard interpolant for problem p05 with P = 0.
the Shepard interpolant for problem p05 with P = 1.
the Shepard interpolant for problem p05 with P = 2.
the Shepard interpolant for problem p05 with P = 4.
the Shepard interpolant for problem p05 with P = 8.
the data for problem p06 with a linear interpolant.
the Shepard interpolant for problem p06 with P = 0.
the Shepard interpolant for problem p06 with P = 1.
the Shepard interpolant for problem p06 with P = 2.
the Shepard interpolant for problem p06 with P = 4.
the Shepard interpolant for problem p06 with P = 8.
the data for problem p07 with a linear interpolant.
the Shepard interpolant for problem p07 with P = 0.
the Shepard interpolant for problem p07 with P = 1.
the Shepard interpolant for problem p07 with P = 2.
the Shepard interpolant for problem p07 with P = 4.
the Shepard interpolant for problem p07 with P = 8.
the data for problem p08 with a linear interpolant.
the Shepard interpolant for problem p08 with P = 0.
the Shepard interpolant for problem p08 with P = 1.
the Shepard interpolant for problem p08 with P = 2.
the Shepard interpolant for problem p08 with P = 4.
the Shepard interpolant for problem p08 with P = 8.
shepard_interp_1d_test02 plots the Shepard basis functions.
the Shepard basis functions for problem p07 with P = 0.
the Shepard basis functions for problem p07 with P = 1.
the Shepard basis functions for problem p07 with P = 2.
the Shepard basis functions for problem p07 with P = 4.
the Shepard basis functions for problem p07 with P = 8.
You can go up one level to .
Last modified on 03 July 2015.SHEPARD_INTERP_ND - Shepard Interpolation of Multidimensional Data
SHEPARD_INTERP_ND
Shepard Interpolation of Multidimensional Data
SHEPARD_INTERP_ND
is a MATLAB library which
defines and evaluates Shepard interpolants to multidimensional data,
based on inverse distance weighting.
SHEPARD_INTERP_ND needs the R8LIB library.
The test needs the
TEST_INTERP_ND library.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
Languages:
SHEPARD_INTERP_ND is available in
Related Data and Programs:
a MATLAB library which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data depending on a multidimensional argument x
that was evaluated on a product grid, so that p(x(i)) = z(i).
a MATLAB library which
contains many utility routines using double precision real (R8) arithmetic.
a MATLAB library which
defines and evaluates radial basis function (RBF) interpolants to multidimensional data.
a MATLAB library which
defines and evaluates Shepard interpolants to 1D data,
which are based on inverse distance weighting.
a MATLAB library which
defines and evaluates Shepard interpolants to 2D data,
which are based on inverse distance weighting.
a MATLAB library which
can be used to define a sparse interpolant to a function f(x) of a
multidimensional argument.
a MATLAB library which
defines test problems for interpolation of data z(x),
depending on an M-dimensional argument.
Reference:
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.
Source Code:
evaluates a Shepard interpolant to multidimensional data.
Examples and Tests:
Running these tests requires access to the test_interp_nd library.
Should that library be available in a directory at the same level, this
can be accomplished with the command "addpath ( '../test_interp_nd' )".
the output file.
tests a particular set of data and a particular value of the exponent
using an irregular grid.
tests a particular set of data and a particular value of the exponent
using a regular product grid.
You can go up one level to .
Last modified on 06 August 2012.SHEPARD_INTERP_2D - Shepard Interpolation of 2D Data
SHEPARD_INTERP_2D
Shepard Interpolation of 2D Data
SHEPARD_INTERP_2D
is a MATLAB library which
defines and evaluates Shepard interpolants to 2D data,
based on inverse distance weighting.
SHEPARD_INTERP_2D needs the R8LIB library.
The test also needs the
TEST_INTERP_2D library.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
Languages:
SHEPARD_INTERP_2D is available in
Related Data and Programs:
a MATLAB library 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).
a MATLAB library which
returns the points and weights for Padu sets, useful for interpolation
MATLAB graphics are used to plot the points.
a MATLAB library which
evaluates a piecewise linear interpolant to data defined on
a regular 2D grid.
a MATLAB library which
contains many utility routines using double precision real (R8) arithmetic.
a MATLAB library which
defines and evaluates radial basis function (RBF) interpolants to 2D data.
a MATLAB library which
defines and evaluates Shepard interpolants to 1D data,
based on inverse distance weighting.
a MATLAB library which
defines and evaluates Shepard interpolants to multidimensional data,
based on inverse distance weighting.
a MATLAB library which
defines test problems for interpolation of data z(x,y)),
depending on a 2D argument.
a MATLAB library which
defines the Padua points for interpolation in a 2D region,
including the rectangle, triangle, and ellipse,
by Marco Caliari, Stefano de Marchi, Marco Vianello.
This is a MATLAB version of ACM TOMS algorithm 886.
a MATLAB library 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.
Reference:
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.
Source Code:
evaluates a Shepard interpolant to 2D data.
Examples and Tests:
Running these tests requires access to the test_interp_2d library.
Should that library be available in a directory at the same level, this
can be accomplished with the command "addpath ( '../test_interp_2d' )".
the output file.
tests a particular set of data and a particular value of the exponent.
The code generates some plots of the data and approximants.
the data for problem p01 with a linear interpolant.
the Shepard interpolant for problem p01 with P = 1.0.
the Shepard interpolant for problem p01 with P = 2.0.
the Shepard interpolant for problem p01 with P = 4.0.
the Shepard interpolant for problem p01 with P = 8.0.
the data for problem p02 with a linear interpolant.
the Shepard interpolant for problem p02 with P = 1.0.
the Shepard interpolant for problem p02 with P = 2.0.
the Shepard interpolant for problem p02 with P = 4.0.
the Shepard interpolant for problem p02 with P = 8.0.
the data for problem p03 with a linear interpolant.
the Shepard interpolant for problem p03 with P = 1.0.
the Shepard interpolant for problem p03 with P = 2.0.
the Shepard interpolant for problem p03 with P = 4.0.
the Shepard interpolant for problem p03 with P = 8.0.
the data for problem p04 with a linear interpolant.
the Shepard interpolant for problem p04 with P = 1.0.
the Shepard interpolant for problem p04 with P = 2.0.
the Shepard interpolant for problem p04 with P = 4.0.
the Shepard interpolant for problem p04 with P = 8.0.
the data for problem p05 with a linear interpolant.
the Shepard interpolant for problem p05 with P = 1.0.
the Shepard interpolant for problem p05 with P = 2.0.
the Shepard interpolant for problem p05 with P = 4.0.
the Shepard interpolant for problem p05 with P = 8.0.
the data for problem p06 with a linear interpolant.
the Shepard interpolant for problem p06 with P = 1.0.
the Shepard interpolant for problem p06 with P = 2.0.
the Shepard interpolant for problem p06 with P = 4.0.
the Shepard interpolant for problem p06 with P = 8.0.
the data for problem p07 with a linear interpolant.
the Shepard interpolant for problem p07 with P = 1.0.
the Shepard interpolant for problem p07 with P = 2.0.
the Shepard interpolant for problem p07 with P = 4.0.
the Shepard interpolant for problem p07 with P = 8.0.
the data for problem p08 with a linear interpolant.
the Shepard interpolant for problem p08 with P = 1.0.
the Shepard interpolant for problem p08 with P = 2.0.
the Shepard interpolant for problem p08 with P = 4.0.
the Shepard interpolant for problem p08 with P = 8.0.
the data for problem p09 with a linear interpolant.
the Shepard interpolant for problem p09 with P = 1.0.
the Shepard interpolant for problem p09 with P = 2.0.
the Shepard interpolant for problem p09 with P = 4.0.
the Shepard interpolant for problem p09 with P = 8.0.
the data for problem p10 with a linear interpolant.
the Shepard interpolant for problem p10 with P = 1.0.
the Shepard interpolant for problem p10 with P = 2.0.
the Shepard interpolant for problem p10 with P = 4.0.
the Shepard interpolant for problem p10 with P = 8.0.
the data for problem p11 with a linear interpolant.
the Shepard interpolant for problem p11 with P = 1.0.
the Shepard interpolant for problem p11 with P = 2.0.
the Shepard interpolant for problem p11 with P = 4.0.
the Shepard interpolant for problem p11 with P = 8.0.
the data for problem p12 with a linear interpolant.
the Shepard interpolant for problem p12 with P = 1.0.
the Shepard interpolant for problem p12 with P = 2.0.
the Shepard interpolant for problem p12 with P = 4.0.
the Shepard interpolant for problem p12 with P = 8.0.
the data for problem p13 with a linear interpolant.
the Shepard interpolant for problem p13 with P = 1.0.
the Shepard interpolant for problem p13 with P = 2.0.
the Shepard interpolant for problem p13 with P = 4.0.
the Shepard interpolant for problem p13 with P = 8.0.
You can go up one level to .
Last modified on 04 August 2012.}