Summary
A computational method for fitting smoothed bicubic splines to data given in a regular rectangular grid is suggested. The one-dimensional spline fit has well defined smoothness properties. These are duplicated for a two-dimensional approximation by solving the corresponding variational problem. The complete algorithm for computing the functional values and its derivatives at arbitrary points is presented. The posibilities of the method are demonstrated on an example from geomagnetic surveys.
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Pretlová, V. Bicubic spline smoothing of two-dimensional geophysical data. Stud Geophys Geod 20, 168–177 (1976). https://doi.org/10.1007/BF01626049
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DOI: https://doi.org/10.1007/BF01626049