Abstract
The mathematical framework for a spline method combining interpolation and smoothing of heterogeneous data is presented. The method is demonstrated for a spherical earth model. A spline approximation for the gravitational field is obtained by using a Hilbert space with topology induced by the (Laplace-) Beltrami operator of the sphere.
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Freeden, W., Witte, B. A combined (spline-) interpolation and smoothing method for the determination of the external gravitational potential from heterogeneous data. Bull. Geodesique 56, 53–62 (1982). https://doi.org/10.1007/BF02525607
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DOI: https://doi.org/10.1007/BF02525607