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Spherical RBF vector field interpolation: Experimental study

The Radial Basis Function (RBF) interpolation is a common technique for scattered data interpolation. We present and test an approach of RBF interpolation on a sphere which uses the spherical distance on the surface of the sphere instead of the Euclidian distance. We show how the interpolation of vector field data depends on the value of shape parameter of RBF and find the optimal shape parameter for our experiments.