Spherical Splines for Scattered Data

Abstract

We study properties of spherical Bernstein-Bézier splines. Algorithms for practical implementation of the global splines are presented for a homogeneous case as well as a non-homogeneous. Error bounds are derived for the global splines in terms of Sobolev type spherical semi-norms. Multiple star technique is studied for the minimal energy interpolation problem. Numerical summary supporting theoretical considerations is provided. Index words: Spherical splines, Interpolation-on-the-sphere Spherical Splines for Scattered Data Fitting

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Cite this paper

@inproceedings{Baramidze2005SphericalSF, title={Spherical Splines for Scattered Data}, author={Victoria Baramidze and M. J. Lai and E. Azoff and Mike Adams and Robert Varley and Paul Wenston and Maureen M. Grasso and Jun Lai}, year={2005} }