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LD3Ditp

3D polynomial interpolation on the nodes of degenerate 3D-Lissajous curves

                      

Version: 0.2 (01.07.2016)

Developed by Peter Dencker and Wolfgang Erb

Description

The package LD3Ditp contains a Matlab and a Python implementation for 3D polynomial interpolation on the node points LD of degenerate 3D-Lissajous curves.

The main test files for 3D polynomial interpolation are
main_example.m and main_example.py

For plotting 3D degenerate Lissajous curves, the LD points as well as the index sets used in the polynomial interpolation use plot_Lissajous3D.m or plot_LD3D.py, respectively.

   

Citation and Credits

The theory related to this package was developed by P. Dencker and W. Erb in

  • Dencker, P. and Erb, W.
    Multivariate polynomial interpolation on Lissajous-Chebyshev nodes
    J. Approx. Theory 219 (2017), 15-45 (Preprint)

The file plotregion.m in the Matlab package was written by Per Bergström 2006-01-16. In this package it is used as an auxiliary program in plot_Lissajous3D.m to plot the polygonal boundary of the index sets.

License

Copyright (C) 2016 by Peter Dencker and Wolfgang Erb

This package was developed by Peter Dencker and Wolfgang Erb at the Institute of Mathematics, University of Luebeck.

LD3Ditp is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

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3D polynomial interpolation on degenerate Lissajous curves

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