Introduction

The TPI package implements tensor spline interpolation in arbitrary dimensions.

The package provides two classes

BsplineBasis1D:

• Calculates the B-spline basis for a 1-dimensional knots vector.
• Constructs the spline matrix.
• The splines are cubic and use not-a-knot boundary conditions.

TP_Interpolant_ND:

• Provides setup and solution of tensor product spline problems in N dimensions.
• Sets up spline data structures for a Cartesian product grid.
• Computes the spline coefficients given data for a scalar gridfunction.
• Carries interpolates the griddata at a desired point in the parameter space spanned by the grid.
• Spline coefficient data can be returned or set, so that the setup and solution of the interpolation problem can be separated, by writing the coefficient data to disk.

Installation

To install to the system python folder run

  python setup.py build_ext
  sudo python setup.py install

If you do not have admin rights you can install locally

  python setup.py build_ext
  python setup.py build_ext install --user

You can create a source distribution and then install the package with pip

python setup.py sdist
pip install --user

or you can build the package using

python3 -m build

You can also install the package via https://pypi.org/project/tpi-splines/.

TPI supports Python 3. Unit tests can be run with pytest.

Dependencies

TPI requires GSL, the GNU Scientific Library. The project homepage is http://www.gnu.org/software/gsl/

TPI now supports gsl 2.x (It has been tested with gsl 2.7.1).

gsl-config --version

On OS X you can use "brew" (https://brew.sh/) to install gsl. Note that the "brew switch" command which could be used to select a particular version of a software package, no longer exists.