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LSphere

Spectral interpolation at the nodes of spherical Lissajous curves

                         

Version: 0.4 (01.02.2018)

Written by Wolfgang Erb

Description

The package LSphere contains a Matlab-implementation to calculate a spectral interpolation on the sphere from data given on the nodes of spherical Lissajous curves. The description of the spherical Lissajous curves, the Lissajous node sets and the spectral interpolation scheme can be found in [1].



                         



  • To test the package use main_example.m

  • To plot the spherical Lissajous curve and its intersection points use Lissajous_example.m

  • To plot the Lagrange functions of the interpolation scheme use Lagrange_example.m

  • For an application of the interpolation scheme in estimating the rotation of objects try navigator_nls_example.m



                         



Citation and Credits

The general construction of the interpolation scheme based on the node points of spherical Lissajous curves is introduced in

  • [1]   Erb, W.
    A spectral interpolation scheme on the unit sphere based on the nodes of spherical Lissajous curves
    arXiv:1802.06546 [math.NA] (2018)

License

Copyright (C) 2018 Wolfgang Erb

This software was written by Wolfgang Erb at the Department of Mathemathics at the University of Hawaii at Manoa.

LSphere 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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