Multivariate interpolation of arbitrarily spaced data by moving least squares methods
Journal of Computational and Applied Mathematics
Fitting scattered data on sphere-like surfaces using spherical splines
Journal of Computational and Applied Mathematics - Special issue on scattered data
Scattered data fitting on the sphere
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
The approximation power of moving least-squares
Mathematics of Computation
Error estimates for scattered data interpolation on spheres
Mathematics of Computation
Constructive polynomial approximation on the sphere
Journal of Approximation Theory
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
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We introduce moving least squares approximation as an approximation scheme on the sphere. We prove error estimates and approximation orders. Finally, we show certain numerical results.